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    CHAPTER 2

    CHARACTERIZATION AND ANALYSIS OF OOK AND

    DPSK OCDMA SYSTEMS

    Section 2.1 discusses the optimization of OSNR by properly

    selecting the power level and spectral characteristics of optical source for the

    given SSMF fiber attenuation and dispersion characteristics are discussed.

    Considering the fiber dispersions such as chromatic dispersion and

    polarization mode dispersion and nonlinearities of the fiber such as self phase

    modulation (SPM), cross phase modulation (XPM) and four wave mixing

    (FWM), the techniques to overcome these effects, EDFA fiber amplifiers and

    DCF compensation are included for the desired performance of the OCDMA

    system. Dispersion compensation techniques for the single mode fiber are

    suggested, which leads to the optimum channel and source conditions to

    maximize the OSNR.

    The section 2.2 and 2.3 present the issues for mitigation of MAI,

    noise, E/D using Super Structured Fiber Bragg Grating (SSFBG), detection

    and thresholding schemes for OOK OCDMA and DPSK OCDMA

    respectively. Optical and decision thresholding techniques and the

    corresponding receiver structures to optimize the BER performance with

    varying number of active users and the complexity involved are discussed.

    The DPSK OCDMA system with balanced detection and OOK OCDMA

    system with power detection are compared. The superior BER performance,

    higher receiver sensitivity, merits and demerits of DPSK OCDMA are

    presented.

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    2.1 OPTICAL SOURCE AND FIBER CHARACTERIZATION

    Dispersion and attenuation are the signal degradation effects

    observed in all optical fibers. Dispersion is compensated using dispersion

    compensating fiber (DCF) and attenuation is equalized by the erbium doped

    fiber amplifiers (EDFA). Various qualitative analyses are carried out in the

    simulation for the applications of OOK and DPSK OCDMA systems.

    2.1.1 Optical Source and Parameter Selection

    Optical fiber communication systems often use semiconductor

    optical sources, light emitting diodes (LED) and semiconductor laser diodes

    (LD) because of the several inherent advantages offered by them. Some of the

    advantages are compact size, high efficiency, good reliability, right

    wavelength range, small emissive area compatible with fiber core dimensions

    and possibility of direct modulation at relatively high frequencies. The

    semiconductor materials with direct band gap energies such as In GaAsP, In P

    and GaAs are used for making optical sources. LED and LD are the suitable

    optical sources since they have adequate output power for wide range of

    applications and the output can be directly modulated resulting in high

    efficiency. Surface emitting LEDs operate as Lamberdian source with beam

    divergence of 120 in each direction. Edge emitting LEDs have a divergence

    of only about 30. The spectral emission width of 40 nm of LED make it

    unsuitable for high bit rate system due to the high dispersion caused in the

    fiber. In spite of a relatively low output power and a low bandwidth of LEDs

    compared to lasers, LEDs are useful for low cost applications with data

    transmission at a bit rate of less than 10Mb/s over a few kilometers. Multiple

    quantum well (MQW) structures emit light at different wavelengths resulting

    in broader spectrum up to 500 nm and are useful for local area WDM

    networks. On the other hand laser diodes are coherent light source used to

  • 32

    couple sufficiently high power into multimode fiber (MMF) or single mode

    fiber (SMF). They are used for 100 Gb/s and more data rate applications.

    Narrow spectral emission width, high coupling efficiency and high output

    power level are the advantages of LD for high speed application.

    Bin Ni and James S. Lehnert (2005) analyzed the performance of

    an incoherent temporal spreading OCDMA system with broadband light

    sources. Dividing the impact of the non ideal light sources on the system

    performances, they had shown that the optimal range for the spreading code

    length when the available optical bandwidth and data rate are fixed. Thermal

    noise effects on the source were not analyzed. Georg Clarici (2007) presented

    the analytical model of laser diode for high speed applications. Simulation of

    single mode lasers reproduced all key characteristics for the analysis. Other

    types of laser diodes were not analyzed for compression.

    Martin Rochette et al (2005) evaluated the upper limit of the

    spectral efficiency of OCDMA systems with coherent sources. Spectral

    efficiency of 2.24x10-2

    b/s/Hz was achieved with a maximum BER of 10-10

    in

    the direct sequence and phase encoded OCDMA systems. The maximum

    spectral efficiency of OCDMA systems with coherent sources was at least a

    factor of 5 higher than the OCDMA systems with incoherent sources.

    However, the spectral efficiency of systems with incoherent sources

    decreased with increasing number of users.

    Broader spectral width reduces the spectral efficiency and at higher

    power levels the fiber nonlinearities degrade the system performance. To

    improve the system performance it is necessary to optimize the source

    characteristics.

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    The coherent light source is selected so as to support high data rates

    and to provide high spectral efficiency. LD operating in continuous wave is

    hereafter referred to as (CW) laser and is the suitable optical source for

    OCDMA. The CW laser with narrow spectral emission width of 1nm, line

    width of 0.1 MHz and emission power level of 0 dBm at 1551.7 nm is shown

    in Figure 2.1.

    Figure 2.1 Optical Emission Spectrum of CW Laser

    The emission spectrum is measured at resolution bandwidth of

    0.01 nm and all polarization set to zero degrees. It is quite suitable for

    OCDMA applications and to overcome MAI. After phase modulation using

    LiNbO3 - MZM the power level is reduced to 3.290 dBm, which is taken as

    the transmitted power for the user. However in the simulation, the power level

    is adjusted using variable optical attenuators and EDFA; operating

    frequencies are varied in the range from 1540 to 1560 nm for multiple users.

  • 34

    2.1.2 Optical Fiber and Parameter Selection

    Optical fiber exhibits the least and uniform attenuation in the wide

    range of spectrum used for optical communication.

    The parameters of the standard single mode fiber (SSMF) used in

    all the simulation are as follows

    Attenuation of 0.2 dB/km

    Wavelength range of 1400 to 1600 nm

    Dispersion of 17 ps/nm/km

    Dispersion slope of 0.08 ps/nm2/km,

    Differential group delay of 3 ps/km and

    Allowable nonlinear shift of 5 mrad

    SSMF offers a wide bandwidth and data rate in range of tens of

    THz. However the possible transmission data rate is reduced due to the

    limitations of electronics. Under these conditions, the pulse spreading due to

    dispersion mechanisms and fiber nonlinearities degrade the system

    performance in the upper band. Chromatic dispersion varies due to the

    exponentially decreasing nature of refractive index of the fiber core with

    increasing wavelength of operation. Higher wavelength components travel

    faster along the fiber leading to pulse spreading in the time domain. In the

    waveguide dispersion, the effective refractive index of the fiber varies and the

    effective refractive index is inversely proportional to the wavelength of

    operation. Because of the material and waveguide dispersion effects the total

    dispersion varies from 1 to 20ps/nm-km with zero dispersion around

    1310 nm. The fiber nonlinear terms causes frequency mixing as four wave

    mixing (FWM), self phase modulation (SPM), cross phase modulation

  • 35

    (CPM). In the presence of large electric field, this becomes significant and

    generates a new wave introducing cross talk. Stimulated Brillouin Scattering

    (SBS) depends on the source power and line width. By proper selection of

    optical coherent source characteristics, fiber channel characteristics, data rate

    and launched power; the fiber dispersion and nonlinear effects are minimized

    within the tolerable level for the given fiber span.

    Distributed nonlinearities of optical fibers and OSNR limit the

    communication capacity. It was analyzed by Andreas D. Ellis et al (2010) and

    suggested techniques to improve the capacity. The techniques are

    (i) compensation of intra-channel nonlinearity either through link design or

    signal processing, (ii) optimization of OSNR through careful link design and

    phase sensitive amplifiers with spacing optimization. However capacity

    demands in access network cannot be met with WDM or dense WDM

    techniques. Ansgar Steinkamp and Edgar Voges, (2007) analyzed the

    influence of polarization dependent losses (PDL) on the statistics of PMD and

    statistical interdependencies between first and second order PMD. However,

    the effects of PDL are minimal for short haul OCDMA.

    All optical data format conversion to and from DPSK were

    proposed and numerically demonstrated by Jian Wang et al (2008).

    Multicasting, multi channel and ultrahigh speed (160 GB/s) format

    conversions were also demonstrated by simulation. However, the deviation to

    the actual application was not discussed.Chromatic dispersion limited by the

    hybrid ASK-DPSK modulation format were studied by Jian Zhao et el (2007)

    for enhancing the transmission reach, also shown that electronic equalization

    of ASK and DPSK separately did not improve the CD tolerance of ASK-

    DPSK signal. Other modulation formats were not discussed. Comparative

    study of the Shannon channel capacity was presented for dispersion free,

  • 36

    constant dispersion and variable dispersion of fiber by Jau Tang (2006).

    Different approaches were only approximated to the input power levels.

    Hofmann et al (2008) worked on WDM PON for higher bandwidth

    of operation in the 1550 nm range with a vertical cavity surface emitting laser

    arrays. Channel bandwidth of 10 Gb/s over 20 km of SSMF was

    demonstrated. However, Laser arrays and maximum bandwidth of 80 Gb/s

    were the limiting factors that are not addressed in detail.

    Optical signal to noise ratio is to be optimized for the link losses

    and distortion using EDFA and DCF. The characteristics and the number of

    EDFA and DCF are selected based on the gain and dispersion compensation

    respectively for the desired link length of SSMF. Using dispersion shifted

    fiber (DSF) the dispersion can be made zero at 1550 nm with suitable

    negative or positive dispersion. The same effect is obtained with dispersion

    flattened fiber at 1550 nm but provides uniformly constant dispersion from

    1300 to 1550 nm.

    2.1.2.1 Compensation using fiber Bragg gratings for Single Pulse

    Dispersion not only broadens the signal pulse but also reduces the

    peak power as shown the Figure 2.2 (a-d). For the bit sequence

    0000000100000000, the bit rate of 40 Gb/s and launched power of 0 dBm into

    fiber are considered for the analysis. The Gaussian pulse with peak power of

    0 dBm at 199 ps and width of the pulse being 55 ps at -60 dBm is launched

    into the fiber as shown in the Figure 2.2 (a). The peak power of -26 dBm

    centered at 1552.83 nm with the spectral width of 10 nm at -60 dBm of the

    spectrum is shown in Figure 2.2 (b). Figure 2.2 (c) shows the dispersion

    effects experimented with 10kms length of SSMF. The compensated signal

    using FBG is shown in Figure 2.2 (e) and 2.2(f). Launched spectrum itself has

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    the power level of signal 26 dBm as in Figure 2.2(b). The power loss of

    2dBm shown in the spectrum is observed after 10 kms of transmission as in

    Figure 2(d) for the fiber attenuation of 0.2 dB/km spectral loss was not

    compensated by the FBG as in Figure 2.2(f). Launched spectrum itself has the

    power level of signal 26dBm as in Figure 2.2(b). The power loss of 2 dBm

    shown in the spectrum is observed after 10kms of transmission as in

    Figure 2.2(d) for the fiber attenuation of 0.2dB/km.spectral loss was not

    compensated by the FBG as in Figure 2.2(f).

    (a) Waveform (b) Spectrum

    Figure 2.2 (a-b) Launched pulse in time and frequency

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    (c) Waveform (d) Spectrum

    Figure 2.2 (c-d) Dispersion effects for 10 km of fiber in time and

    frequency

    (e) Waveform (f) Spectrum

    Figure 2.2 (e-f) Dispersion compensation using FBG

  • 39

    FBG has many disadvantages compared to DCF in terms of

    complexity involved in making the gratings and stability of operation. Further

    the FBG introduces on an average 20dBm of noise in the compensated signal.

    DCF characteristics are incorporated during the fiber fabrication process with

    the required dispersion coefficient and attenuation for a given length of the

    fiber. In the following discussions of the sections of 2.1 the spectral

    characteristics not provided. Wavelength drift is not reflected in the spectrum

    due to dispersion. Due to the time shift introduced by FBG, the dispersion

    compensation left shifts the pulse.

    Bette et al (2008) demonstrated the wavelength dependencies of

    CD and differential group delay (DGD) to the fiber birefringence value and

    derived the gratings. However, did not provide the DGD modeling as it was

    complex.

    2.1.2.2 Compensation using fiber Bragg Gratings for multiple pulses

    Scheme for enhancing the thermal sensitivity of the FBG was

    discussed by Budiman Dabarsyah et al (2007). Tuning of group velocity

    dispersion (GVD) dispersion slope and wavelength of operation were done by

    controlling the temperature distribution of the uniform fiber Bragg grating

    (FBG). Dispersion slope was tuned from -8.88 to-24.44 ps/nm2 with the

    center wavelength at 1554.5 nm. However, the requirement of circulator and

    the changes of GVD as dispersion slope is tuned are the disadvantages of the

    scheme.

    Similar analysis but with the bit Sequence 0010000110010001 at

    the bit rate of 40 Gb/s and 0dBm of power level is carried out. Figures 2.3(a),

    2.3(b) and 2.3(c) show the launched, distorted and recovered pulse sequence

    after compensation respectively.

  • 40

    Figure 2.3 (a) Launched pulse into the fiber

    Figure 2.3 (b) Distorted pulse after 10 km of fiber length

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    Figure 2.3 (c) Recovered pulse at the end of 10 km

    It is observed that the bits are not properly detectable. Worst

    situation occur for 100 km of fiber even with periodically compensating for

    dispersion using FBG. Therefore using dispersion compensation unit (DCU)

    dispersion compensation is effectively carried out.

    2.1.2.3 Compensation using DCF for multiple pulses

    To compensate for the attenuation and dispersion so as to maintain

    the required OSNR and PCR at the receiver front end, an erbium doped fiber

    amplifier (EDFA) and dispersion compensating fiber (DCF) are used. Due to

    the performance limitations, single EDFA and DCF cannot serve the purpose.

    Therefore the following parameters of EDFA and DCF are selected for the

    link with two spans each of 50 kms. Each EDFA in Figure 2.4 provides a gain

    of 11.5 dB and with a total gain of 23 dB. The parameters of DCF are as

    follows

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    Length of the DCF is 5kms

    Attenuation is 0.3dB/km

    Dispersion Compensation is 850ps/nm/km

    DGD is 0.2 ps/km

    Each Span of 50 km consists of one DCF and one EDFA as shown

    in Figure 2.4 Two such DCF are used in this scheme and provides a total

    dispersion of 170 ps/nm/km.

    Figure 2.4 Symmetrical Dispersion Compensation for a span

    of 50 km

    Optical signal to noise ratio is to be optimized for the link losses

    and distortion using EDFA and DCF. The characteristics and the number of

    EDFA and DCF are selected based on the gain and dispersion compensation

    respectively for the desired link length of SSMF. Using dispersion shifted

    fiber, the dispersion can be made zero at 1550 nm with suitable negative or

    positive dispersion. The same are the effect with dispersion flattened fiber at

    1550 nm but provides uniformly constant dispersion from 1300 to 1550 nm.

    For the bit sequence 0010101101001000 at the data rate of 10 Gb/s

    and with power level of 10dBm is carried out. The launched pulse into the

    fiber is shown in Figure 2.5, the broadened pulse is compensated using DCF

    and amplified using EDFA after10 km with overlapping for consecutive 1s is

    shown in Figure 2.6. The recovered pulse with compensation and

    amplification after the link span of 10 km is given in Figure 2.7.

  • 43

    Figure 2.5 The launched pulse into the fiber, clearly distinguishable

    at 0 dBm

    Figure 2.6 Broadened pulse with overlapping after10 km of fiber

  • 44

    The pulse is not distinguishable at 0 dBm as seen from

    Figure 2.7 and even at a higher power level (5 dB) too it is barely

    distinguishable.

    Figure 2.7 Recovered pulse at the end of 10 km

    With successive 1s and at higher bit rate, the compensation using

    FBG fails to recover the launched pulse as shown in Figures 2.3 (b) and 2.3

    (c). There is a difference in power level of 1 dBm. The peak to peak noise

    levels were reduced from -12 dBm to -6 dBm as shown in Figures 2.6 and 2.7.

    DCF and EDFA for each of the two spans are called as dispersion

    compensation unit (DCU). Using the DCU at the transmitting end of the fiber

    is pre compensation, at the end of the fiber is post compensation and at the

    mid of the total length of the link is symmetrical compensation. Simulation at

    different locations of DCU in the fiber is shown in Figure 2.8 for two power

    levels and data rates.

  • 45

    Figure 2.8 Comparison of eye diagrams for different data rates and

    power levels

    For each DCU and fiber spans of 50 km which forms a subsystem,

    the parameters and the responses are analyzed for the bit sequence

    0010101101001000 with 10 Gb/s. The DCF parameters are: 5 km of length,

    0.3dB/km of attenuation and dispersion compensation of 170 ps/nm/km with

    dispersion slope of 0.11 ps/nm2/km. DGD is taken as 0.2 ps/km. The

    parameters of EDFA in the DCU are: gain of 14 dB, noise figure of 4 dB, and

    wide noise bandwidth of 13 THz. The launched pulse after modulation is

    shown in Figure 2.9 (a). Compensated pulse after the first and second span by

    the DCU is shown in Figure 2.9 (b) and 2.9 (c) respectively.

  • 46

    Figure 2.9 (a) Gaussian pulse launched into the fiber with 8 dBm of

    power

    Figure 2.9 (b) Compensated pulses after the first Span

  • 47

    Figure 2.9 (c) Compensated pulse after the second Span

    The effect of total dispersion, power received and error

    performance of the system is obtained and the results are highlighted.

    The pulse with 10 dBm of power level at 1552.524 nm (0.01 nm

    Resolution bandwidth) is shown in Figure 2.10(a) for 10 Gb/s data rate.

  • 48

    Figure 2.10 (a) Spectrum of the Launched optical Pulse

    Each span of 50 km of fiber with dispersion compensation is

    carried out using DCU. The modulated spectrum and its power level is shown

    in Figure 2.10 (b), Figure 2.10 (c) shows the optical spectrum after MZM and

    50 km of fiber. Figure 2.10 (d) and Figure 2.10 (e) shows the eye diagram

    along with Q factor variation and BER performance respectively. Maximum

    Q factor of 10.345, at the decision instant 0.524 of bit period is achieved. The

    BER performance after DCU leads to improved power penalty.

  • 49

    Figure 2.10(b) Spectrum after MZM

    Figure 2.10(c) Optical Spectrum after MZM and 50 km of fiber

  • 50

    Figure 2.10 (d) The eye diagram and Q factor variation

    Figure 2.10 (e) BER Performance after DCU

  • 51

    Therefore for bit rate of more than 10 Gb/s and with the received

    power of less than 0 dBm, the symmetrical dispersion compensation leads to

    the best BER as shown in Figure 2.8.

    2.1.2.4 Minimizing the Effects of Nonlinearities

    The fiber nonlinear terms cause frequency mixing as four wave

    mixing (FWM), self phase modulation (SPM) and cross phase modulation

    (CPM). In the presence of large electric field, this becomes significant and

    generates a new wave introducing cross talk. Stimulated Brillouin Scattering

    (SBS) depends on the source power and line width. By proper selection of

    optical coherent source characteristics and fiber channel characteristics, the

    nonlinear effects are minimized within the tolerable level for the given fiber

    span.

    Analytical expressions for phase and amplitude noises for phase

    modulated optical systems due to inter channel four wave mixing (IFWM)

    were derived by Alan Pak Tao Lau et al (2008). However, the analysis was

    not focused for multiple channel access network applications. Similar analysis

    was done by Alper Demir (2007).

    Rene-Jean Essiambre et al (2010) described the method to estimate

    the capacity limits of optical fiber networks. The sources of noise, Kerr

    nonlinearity and mitigation of impairments were described and compared the

    capacity limitations. However, the channel capacity for access networks was

    not specifically addressed.

    PMD monitoring for phase modulated signal using DGD generated

    interferometer filter was demonstrated by Yang et al (2008). 0 to 100 ps of

    DGD with 20 dB of radio frequency power variation in 20 Gb/s NRZ DPSK

  • 52

    system was derived, which was insensitive to 0 to 640 ps/nm of CD.

    However, PMD monitoring technique in access network was not discussed.

    The fiber nonlinearities and dispersion related issues are studied to

    select the power level required for the system. As long as the optical power

    within an optical fiber is small, the fiber can be treated as linear medium.

    When the power level is high, the impacts of nonlinear effects are to be

    considered. Two parameters contributing to this are refractive index related

    parameters and scattering related impairments. Some nonlinear effects occur

    in multi channel WDM systems where interaction of signals at different

    wavelengths is possible.

    SPM and XPM affect the phase of signals and cause spectral

    broadening, which in turn leads to increases in dispersion penalties. SBS and

    SRS provide gains to some channels by depleting power from other channels.

    The nonlinear interaction depends on the transmission length and effective

    area of the fiber. SPM is a significant consideration in designing 10 Gb/s

    systems, and it restricts the maximum channel power to below a 10 dBm.

    XPM becomes an important consideration when the channel spacing is tens of

    GHz. FWM efficiency depends on signal power and dispersion, as well as

    channel separation. If the channel is close to the zero dispersion wavelength

    of the fiber, considerably high power can be transferred to FWM components.

    Using unequal channel spacing can also reduce effect of FWM. These

    findings are confirming with the results of earlier work done in analyzing the

    optical fiber characteristics.

    Dispersion plays a key role in reducing the effects of nonlinearities.

    However, dispersion itself can cause intersymbol interference. In the

    following example, the effects of dispersion compensation on system

  • 53

    performance in a high power regime where nonlinearities are active are

    considered. Two different versions are considered for analysis.

    In the first version, the system residual dispersion is 0, whereas it is

    800 ps/nm in the second version. The transmission link contains 5 spans and

    the bit rate is 10 Gb/s. The dispersion at the end of 100 km SMF is

    1700 ps/nm/km and its effective area is 72 square microns. The dispersion of

    DCF is -80 ps/nm/km. A 20 km DCF is used for the first version to totally

    compensate the dispersion. For the second version, an 18 km DCF is used to

    leave some residual dispersion after each span and this add 800 ps/nm total

    residual dispersion to the system. The effective area of DCF is 30 square

    microns. The loss in SMF and DCF are compensated by an EDFA with 25 dB

    of gain for the first version and with 24.4 dB gain for the second version. The

    Noise figure of the EDFA is 4 dB. It is found that after about 10 dBm average

    power, SPM becomes a limiting effect. Figure 2.11 shows the eye diagrams

    for two different residual dispersion values and three different signal powers.

    when system residual dispersion is a) 0, b) 800 ps/nm.

    Experimented with 10 kms, 50 kms and 120 kms of fiber, hence it

    is stated in the respective places. In the entire situation, the DCF is at the

    middle (half way between the Tx and Rx) of the fiber link distance. The best

    performance are obtained with DCF in the Middle (Symmetrical).This is

    compared in the Figures 2.8 for 8 to -16 dBm of power levels and for 2.5 Gb/s

    and 10Gb/s.

  • 54

    Figure 2.11 Eye diagrams of the received signal for several received

    signal powers when system residual dispersion is

    a) 0, b) 800 ps/nm for one channel system

    This simulation shows that effect of SPM is reduced by incomplete

    compensation of the dispersion. It is observed that the power increase results

    in closure of the eye in the case of zero residual dispersion.

    For multi-channel system with 8 channels, the first channel is at

    193.1 THz (1552.524 nm) and the channels are separated by 100 GHz. SMF

    and DCF parameters are the same as in the previous example. To get more

    accurate results, nonlinear phase shift parameter of the fibers is set to a lower

  • 55

    value (3 mrad). Simulation results are shown in Figure 2.12. The eye

    diagrams of the received signal for several signal powers with residual

    dispersion are 0 and 800 ps/nm respectively.

    Figure 2.12 Eye diagrams of the received signal for several signal power

    levels. a:0ps/nm of residual dispersion and b:800 ps/nm of

    residual dispersion for multi-channel system

    For an eight-channel system, the threshold power is approximately

    10 dBm per channel. In this simulation, both SPM and XPM affect the system

    performance. The simulation also shows that nonlinear effects are reduced by

    local dispersion and better performance is obtained with nonzero residual

    dispersion.

  • 56

    2.2 OOK OCDMA SYSTEM

    The simplest technique of simulating the OOK OCDMA system

    consists in changing the signal power between two levels, one of which is set

    to zero and is often called on-off keying (OOK) to reflect the on-off nature is

    the resulting optical signal. Most digital lightwave systems employ OOK.

    OOK is identical with the modulation scheme commonly used for incoherent

    intensity modulation/direct detection (IM/DD) digital lightwave systems. For

    IM/DD systems, such unintentional phase changes are not seen by the

    detector, as the detector responds only to the optical power. The situation is

    entirely different in the case of coherent systems, where the detector response

    depends on the phase of the received signal. The implementation of OOK

    format for coherent systems requires the phase of the signal to remain nearly

    constant. This is achieved by operating the semiconductor laser continuously

    at a constant current and modulating its output by using an external

    modulator.

    Derivation of non linear equation for electronic dispersion

    compensation with OOK modulation using direct detection was carried out by

    Gilad Katz et al (2007). Suitability of the scheme for OCDMA system was

    derived. However, the same for DPSK and other modulations were not done.

    On off keying (OOK) modulation format is used in OCDMA

    system for payload data with power detection. The 10 Gb/s data rate through

    100 kms of the fiber for OCDMA is very much affected by the attenuation

    and dispersion mechanisms of the fiber. The OOK OCDMA system is OSNR

    sensitive due to the power detection process at front end of the receiver.

    Hence the compensation for the fiber impairments is carried out to optimize

    system performance in terms of receiver sensitivity and BER.

  • 57

    OCDMA was the powerful alternative to TDMA and WDMA in

    fiber-to-the home (FTTH) Systems. Ken-ichi Kitayama et al (2006)

    demonstrated the OCDMA system architecture and its operation principle,

    code design, optical E/D using a long SSFBG. OCDMA over WDM PON was

    proposed. However, improvement towards MAI was not discussed.

    Wei-Ren Peng et al (2006) proposed frequency overlapping multi

    group scheme for a passive all optical fast frequency hopped (OFFH)

    OCDMA system based on FBG array with higher utilization of spectrum.

    Users were assigned the codes and divided into several groups with group

    interleaving. The interleaving of frequency allocations of different groups

    made the groups less correlated, and hence lowering the MAI. However,

    Gaussian profile of grating was chosen by Wei-Ren-Peng et al (2006) and did

    not suggest an optimum profile for power efficiency and MAI.

    2.2.1 OOK OCDMA Schematic Description

    Optical laser diode operating at 0dBm power at 1550 nm is used to

    modulate the PRBS data using an intensity modulator followed by encoding

    using SSFBG. The encoded data from all the users are launched into the fiber

    through a star coupler. Other than the desired user, all the remaining users

    random data are to contribute for multiple access interference. The

    OOK-OCDMA signal gets attenuated at the rate of 0.2dB/km in the SSMF

    and also undergoes a dispersion of 17 ps/nm/km. To compensate for this, the

    parameters of DCF and EDFA are selected to ensure the required OSNR at

    the front end of the receiver. The threshold level is to set at slightly higher

    level due to the noise and interference of multiple users. When an optical

    threshold is used, the gain and dispersion of the threshold devices are adjusted

    to the required optimum value due to the fact that the optical threshold

  • 58

    removes the noise, MAI and beat noise to the required extent that the BER is

    maintained.

    The theoretical block diagram of OOK OCDMA with power

    detection system is shown in Figure 2.13 and the electrical domain receiver

    structure is shown in Figure 2.14.

    Figure 2.13 OOK OCDMA system model

    Figure 2.14 Electrical Domain Receiver Structure

    Laser diode operating at 1552.5244 nm corresponding to 193.1 THz

    with output power of 1 dBm, line width of 0.1 MHz, without polarization

    reference and with zero phase generates the optical signal. The data is

    generated using an user defined code generator and precoded using one bit

    delay precoder to get the DPSK data and applied to the LiNb Mach-Zehnder

    modulator (MZM), and the modulated spectrum is shown in Figure 2.15 (b).

    The modulated signal is then encoded with a defined code in the encoder, for

    the signature of the user which is an 8 bit code of run length 2. This encoded

    output corresponds to the desired user. Other 7 such users operating at

  • 59

    1554.4564 to 1549.8522 nm with channel spacing of 0.645 nm (0.08 THz

    spacing). The 8 user encoded outputs are combined through a star coupler

    then to the fiber. The fiber lengths are varied from 50 kms to 600 kms to

    study the OSNR obtained at the input of the photodetector. The general

    parameters of the system are i) sample rate = 1.3648 THz, ii) number of

    samples = 4096, iii) samples per bit = 32, with a sequence length = 128 bits

    Encoded signal from the star coupler has the following

    characteristics and are shown in the Table.2.3. Single mode optical fiber

    (SMF) of length 100 kms with attenuation of 0.22 dB/km, dispersion of

    4.46 ps/nm/km and dispersion slope of 0.09 ps/nm2/km operating within the

    performance limit at 1200 nm to1700 nm is used in our experiments. Group

    velocity dispersion and third order dispersion are considered.

    Josep segarra et al (2007) proposed an all optical metro-access

    network using WDM/TDM architecture for PON based on optical burst

    switching. In the analysis it was shown that the design of optical network

    complicated the issues for the QoS. . Method for monitoring of simultaneous

    optical signal to noise ratio (OSNR) and chromatic dispersion (CD) in 40

    Gb/s WDM systems were proposed and demonstrated by Lamia Baker-

    Meflah et al (2007). 20dB of dynamic range of OSNR was measured with

    1dB of accuracy for the OSNR values of less than 20dB. The suitability of the

    scheme for access network was not discussed.

    2.2.2 Multiple Access Interference Analysis

    Incoherent system of our proposed model uses 2-D coding schemes

    to provide better correlation performance and improved power and bandwidth

    efficiency in the asynchronous mode of operation. As analyzed by Xu Wang

    and Ken-ichi Kitayama (2004), the received optical field at the input of the

  • 60

    (2.3) T

    { } )( . 0

    ++ = C m

    i i d C t n P P T Z

    photodetector of the desired user with m interfering signal (0 < m K-1) is

    given in equation 2.1, where K is the total number of users in the system.

    { })cos(2)cos(2)(1

    1 11

    ij

    m

    i

    m

    ij

    jiidi

    m

    i

    idC PPPPPPTtE +++=

    = +==

    (2.1)

    = Data + MAI + PBN + SBN

    where Pd and Pi are data decoded and interfering power respectively. The

    values of the terms Pi is not fixed, however a random variable fluctuating

    around its average Pi leading to MAI. First term is the data signal, second

    term is MAI, third term is primary beat noise (PBN) and the fourth term is

    secondary beat noise (SBN); TC is the chip duration and is the

    responsivity of the photo detector. Assuming the bandwidth of photo detector

    is larger than the frequency difference between the incoming signals and for

    smaller numbers of users the interference

    di PP /= (2.2)

    where, is such that m

  • 61

    and n(t) is the photo detector noise included for the completeness of analysis.

    The average received signal Z is scaled by TC and approximated as

    dC

    PmT

    Z)1(

    )(+=

    (2.4)

    Assuming that the MAI and receiver noise both have Gaussian distributions,

    the error probabilities are derived as

    =

    0

    )(

    22

    1))(0/1(

    mDPerfcmP de (2.5)

    +=

    1

    )1(

    22

    1))(1/0(

    DmPerfcmP de (2.6)

    where 0 < D < (1+ m ) is the decision threshold; 0 and 1 are the total noise

    variance with mark 0 or 1 respectively.

    1,

    2222

    1 sthMAI ++= (2.7)

    0,

    2222

    0 sthMAI ++= (2.8)

    where 2MAI ,2

    th and 2

    s are the MAI, thermal, and shot noise variances,

    respectively. Therefore, setting the optimum threshold level is done (i) by

    selecting the large RL and nominal bandwidth to minimize the thermal noise

    and (ii) by selecting PIN photodiode for suitable responsivity and TIA to

    minimize the shot noise.

  • 62

    2.2.3 Optical Thresholder

    The decoding process at the receiver generates autocorrelation

    peaks from the designated user, and lesser dB level cross correlation peaks

    from the non designated users. Optical thresholder (OT) is used to suppress

    the MAI and the arrangement consists of the following three components

    (i) Highly nonlinear fiber,

    (ii) Dispersion compensated EDFA (DC-EDFA) and

    (iii) Long pass filter to allow the desired wavelength range.

    Functional schematic of OT is shown in Figure 2.15.

    Figure 2.15 Optical Thresholder

    DC-EDFA compensates for the dispersion and signal loss. One of

    the decoder as the desired user matching the code of the corresponding

    encoder in the presence of the selected number of interferers is applied to the

    optical thresholder.The nonlinear optical thresholder utilizes 500 m of highly

    nonlinear fiber (HNLF) with zero dispersion at 1553 nm. The dispersion of

    0.19 ps/nm/km at 1550 nm, dispersion slope of 0.026 ps/nm2/km at 1550 nm,

    effective area of 10 m2

    and non linear coefficient of 20/(W.km) are the other

    parameters selected for HNLF. The HNLF shifts spectral power into longer

    and shorter wavelengths due to self phase modulation (SPM) and other fiber

  • 63

    nonlinearities. The longer wavelengths are passed to the receiver through the

    long pass filter.

    At the receiver, a power contrast ratio (PCR) of 25dB was

    measured between desired user and all the other interferers. The power

    measured at the input of the thresholder is the total received power in dBm. In

    the thresholder, the DC-EDFA average output power is set to 14 dBm for

    single user and the power penalty arises from pulse broadening, residual

    dispersion in the encoder and decoder. As the interfering users are added, the

    average output power of the thresholder is increased from the DC-EDFA to

    keep desired users average power into the HNLF constant. As the number of

    users increased, the thresholder output increases from 14dBm depending on

    number of users. The HLNF used here is polarization independent.

    The measurement emulates adaptive threshold detection consisting

    of a DC-EDFA, HNLF and a long pass filter, where DC-EDFA adjust its

    pump power level to optimize the threshold detection of the desired user

    signal while suppressing the interfering users signal. Each interfering user

    contributes a different amount of system penalty due to the differing MAI.

    Signal attenuation and dispersion leads to power loss and limits the

    transmission distance, OSNR and receiver sensitivity. Electronic

    amplification needs optical to Electrical and Electrical to optical conversion

    (O-E-O conversion). Electronic amplification depends on the bit rate and

    modulation format and hence electronic amplification is neither optically nor

    electrically transparent.

    All optical amplifiers are used as signal regenerators where loss is

    the limitation and single amplifier is be used for multiple channels and

    independent of modulation formats. Gain, bandwidth, gain flatness, noise

  • 64

    figure, maximum output power, coupling loss, pumping efficiency,

    polarization dependence and cross talk are the design parameters of an optical

    amplifier and are optimally selected. Gain spectrum of two level systems is

    Gaussian slope with peak at a particular wave length.

    Optical amplifiers impair the detection of phase modulated signals

    due to the interaction of signal and amplifier noise through the Kerr effect as

    described by Alan Pak Tao Lau and Joseph M. Kahn (2007). However, the

    interplay of chromatic dispersion (CD) and the Kerr effect on signal design

    and detection were not investigated. Polarization independent optical

    demultiplexing of 160 Gb/s optical TDM based data on cross-phase

    modulation (XPM) induced wavelength shifting in highly nonlinear fiber

    (HNLF). This has been experimentally demonstrated by Jie Li et al (2008).

    However, achieving polarization independency was difficult.

    Lijie Qiao et al (2007) described the scheme for maintaining

    constant output signal power in the presence of amplified spontaneous

    emission (ASE) noise for EDFA. The model was suitable for both single and

    multi channel operation for an input power range of 25 dB and a gain of 0 to

    37 dB to operate the EDFA. Other than this range was not highlighted. Lee H.

    et al (2002) demonstrated an optical thresholder based on a short length of

    holey fiber to achieve enhanced code recognition quality in 255 chip

    320 Gchip/s SSFBG based OCDMA code/decode system. The nonlinear

    thresholder was based on band pass filtering of spectrally broadened

    components generated by self-phase modulation (SPM) in an 8.7 m length of

    highly nonlinear holey fiber. However, it was not demonstrated for multi-user

    OCDMA system.

  • 65

    Performance of digital receivers with fixed and adaptive decision

    threshold were compared by Benjamin Puttnam et al (2008) in response to

    gain transients arising from network operation of gain-clamped EDFA. The

    advantages of adaptive decision threshold were given and the complexities

    involved were not analyzed.

    Anoma D. McCoy et al (2007) studied the semiconductor optical

    amplifier (SOA) based noise suppression for SAC-OCDMA system. The

    system had the limitation on optical filtering and not suitable for SAC-

    OCDMA applications. Thus, forcing the use of erbium doped fiber amplifier

    (EDFA) and noise suppression blocks.

    Waldimar Amaya et al (2008) presented a time spreading OCDMA

    system including non-perfect time gating and optical thresholding for OOK

    and DPSK modulation cases. Complexity involved was not analyzed.

    The carrier density fluctuations in semiconductor optical amplifier

    (SOA) imposed penalties on (i) PSK signals due to nonlinear phase noise and

    (ii) OOK signals due to self gain modulation. Francesco Vacondio (2010)

    proposed a scheme for equalization of impairments. Other amplifiers were not

    discussed. Satoshi Yoshima et al (2010) proposed a novel 10 Gb/s based PON

    over OCDMA system to realize full capacity of optical access network. The

    system was demonstrated by using multi level PSK, SSFBG, encoder/multi

    port decoder and burst mode receiver. However fiber dispersion and

    nonlinearities were not addressed in the analysis.

    As shown in Figure 2.16, the maximum of EDFA gain of 42 dB

    occurs at 1530 nm with the flat gain region being 1540 nm to 1560 nm region.

    This feature of EDFA is useful for multiple channel amplification. The power

    conversion efficiency is 95.5% at 1480nm pumping and 63.2% at 980 nm

  • 66

    pumping for the signal at 1550 nm. Optimum length for doping is selected for

    amplification through population inversion as to the pumping signal gets

    absorbed along the length of the fiber. The dynamic range of operation is

    determined by the input signal power, output signal power and pump power

    for the required gain.

    Wavelength (m)

    Figure 2.16 EDFA Gain variation with Wavelength of operation

    Figure 2.17 shows the gain variation with the input power. In the

    experiment, the EDFA gain of 14.5 dB is always achieved for the input power

    of 1mW (0dBm). Also for 1mW of input power, 52 mW of maximum output

    power can be obtained as shown in Figure 2.18. Figure 2.17 and 2.18 are

    plotted for 100mW of pump power. Gain up to 30 dB is achieved with the

    pump power of 40 mW as seen in the Figure 2.19. The amplified spontaneous

    emission (ASE) noise is directly proportional to gain and bandwidth and also

    the input signal. ASE is within 1dB in the operating wavelength and it is

    removed by properly selecting the gain and bandwidth and a filter is used to

    remove the noise outside the bandwidth. The ASE noise interferes with the

    detection process in the photo detector and contributes to the output

    introducing beat noise.

  • 67

    Figure 2.17 EDFA Gain variation with Input Power

    Figure 2.18 EDFA Output vs Input Power

    Figure 2.19 EDFA Gain variation with Pump Power

  • 68

    The Noise figure is given by SNRin/ SNRout, and it is lesser with

    1480 nm pumping than the 980nm pumping. Optical signal to noise ratio

    (OSNR) is maintained by properly choosing the design parameters for the

    given bit rates. The merits of semiconductor optical amplifier (SOA) are

    compactness, integration with optoelectronic components, functional

    applications and broad choice of operating wavelength. Input power was

    maintained constant at 400 mW for plotting the response. The pump power is

    varied from 1to 200 mW.

    The suitability of EDFA is seen by comparing the values with that

    of semiconductor optical amplifier given in the Table 2.1.

    Table 2.1 Comparison of Optical Amplifiers: EDFA and SOA

    Features EDFA SOA

    Typical Maximum

    internal gain

    30 dB-50 dB 30 dB

    Typical Maximum insertion loss 0.1dB-2dB 6 dB-10 dB

    Polarization sensitive Not sensitive to

    polarization

    Sensitive to

    polarization

    Pump source Optical Electrical

    Optical bandwidth 40 nm 30 nm

    Maximum output power 23 dBm 20 dBm

    Typical intrinsic noise 3-5 dB 7-12 db

    2.2.4 OSNR Sensitivity

    In optimizing the simulation parameters, the fiber channel OSNR

    and Q factor decreases with increasing the distance as in the Figure 2.20. As a

    consequence, the BER performance is improved with the OSNR. The rate of

  • 69

    change is compensated with suitably selecting the parameters of in-line EDFA

    and DCF; The OSNR of 36 dB corresponding to the Q factor of more than 7

    is maintained.

    (a) BER variation with Q factor

    (b) BER variation with OSNR

    Figure 2.20 Optimization of OSNR and Q factor for the Fiber

  • 70

    2.2.5 Disadvantages

    The electrical eye is unsymmetrical for both the cases. The dynamic

    decision threshold level setting in electrical domain is a complex problem as

    (i) The threshold setting has to change in accordance with the number of users

    (ii) Estimating the number of users in an asynchronous environment using

    digital signal processing or estimating the higher order harmonic levels of the

    received signal (iii) The optimum threshold set for an average number of

    users beyond certain level is not proportionate and the BER performance

    estimated with noise probability density function is not satisfactory

    (iv) Adaptively varying the threshold tends to increase enormously the cost,

    complexity in receiver preamplifier design and complexity in thresholder.

    And further burst errors degrade the system severely . (v) Alternatively using

    cost effective and lesser complex optical thresholding to mitigate MAI and

    noise gives more than 4 dB OSNR improvements over the optimum threshold

    technique. Thus the performance of OOK OCDMA with optical thresholding

    is nearly the same as DPSK OCDMA without thresholding.

    2.2.6 Simulation Schematic

    Simulation of OOK OCDMA and DPSK OCDMA is demonstrated

    using SSFBG E/D in Figure 2.21 shows the simulation setup for the

    demonstration and comparative investigation of DPSK OCDMA with OOK

    OCDMA. The schematic for generation of multiple access interference is

    shown in Figure 2.22. The mode locked laser diode generated ~1.8-ps optical

    pulse at a repetition rate of 10 GHz with a central wavelength of

    1552.524 nm.

  • 71

    Figure 2.21 Shows the arrangement for OOK OCDMA and with DCU

    The signal from the OOK modulator was split into two paths. The

    upper path is for target OCDMA user with 10 Gb/s OOK modulation using

    intensity modulator. The same schematic is used for DPSK OCDMA with

    phase modulator instead of intensity modulator. The lower one is used to

    generate different number and levels interferences. In the interference path,

    the MAI generator can generate interferences with different 1 by tuning the

    variable optical attenuators (VOAs) and different K by adjusting the optical

    switches.

  • 72

    Figure 2.22 Simulation Schematic for MAI generation

    Here, 1 is defined as the power contrasts ratio between single

    interference and the target signal, and K is the number of interferences. The

    signal and the interference are mixed and decoded by the decoder. At the

    receiver, a fiber based interferometer followed by a balance detector and a

    single PD was used for DPSK and OOK detection, respectively.

    2.2.7 Super Structured FBG

    The encoders/decoders were written with significant frequency

    guard bands between frequency bins. These bins are partition of the available

    bandwidth into uniform segments for coding. The original intent of the guard

    bands was to reduce multiple-access interface (MAI) by assuring that when

    two codes do not have a given bin in common, no energy would leak

    through one bin to the other. Many codes are available, but long codes are

    usually considered. The assumption of square frequency response leads to the

    zeroing out of MAI after balanced detection when using constant cross

  • 73

    correlation codes. The encoders and decoders have identical codes, whereas

    the complementary decoder consists of the complementary code of the

    corresponding encoders.

    For a given bit rate, systems with greater optical bandwidth would

    offer better performance in terms of BER or, for fixed BER, could

    accommodate more uses for greater capacity.

    Since intensity noise is the principal noise source, and frequency

    guard bands reduce the occupied effective optical bandwidth and, therefore,

    the capacity. If ideal rectangular filters could be achieved, the encoders would

    carve out truly orthogonal frequency bins while exploiting all available

    bandwidth. Realistic FBGs that can be written in an effective manner will

    have finite roll off, leading to a tradeoff between MAI and intensity noise.

    This tradeoff requires the identification of further constraints on the code

    family to achieve optimization. However, simulation is achieved with FBG

    spectral responses with various levels of overlap between bins. These spectral

    responses are then used to predict the BER floor. The optimum spectral

    response is determined and a set of encoders/decoders is realized.

    In the experimental setup, encoding/decoding process is achieved

    by FBG that is working in transmission. The apodization profile A (z) of an

    FBG is the modulation index envelope that will be written in the fiber. The

    spectral response of a highly chirped FBG is simply an inverse translation of

    the gating apodization profile along the z-axis of the fiber. Basically, no

    modulation index (A=0) leads to a transmission bin, whereas a modulation

    index (A=1) leads to a non transmission bins, i.e., a reflective bin. An

    apodization profile based on super-Gaussian lobes is used in order to

    minimize the ripples in spectral response that cause MAI.

  • 74

    The encoder is an SSFBG working in transmission that takes a

    broadband source and filters out all spectral content, expect those frequencies

    included in the users unique spectral code. All the users in the system share

    the same optical bandwidth and contain frequency elements for the same

    band; they access the channel asynchronous and without coordination. An

    N1 coupler is used to combine all signals onto one fiber.

    The duration of the encoded signal and the decoded signal are about

    800 ps and 1.6 ns, respectively. Therefore, in the interference path, the data

    rate is intentionally converted to 622 Mb/s to avoid the inter symbol

    interference. However as in the signal path the data are transmitted at 10 Gb/s

    data rate, the interference results in the performance degradation. But on the

    performance comparison, interference is considered as a fixed level

    interference to the received signal and neglected by taking all the

    measurement against the relative interference level 1, which is proportional

    to the absolute interference level

    Figures 2.23 to 2.35 show the simulation results for the E/D for the

    desired user for various conditions indicated in the relevant figures.

    Photodetector 1 (PD 1) is in the upper arm and photodetector 2 (PD 2) is in

    the lower arm of the differential detection scheme.

  • 75

    Figure 2.23 Encoded Spectrum after the 1st SSFBG encoder

    Figure 2.24 Encoded spectrum at the input of Star coupler for the

    Desired user

  • 76

    Figure 2.25 Encoded signal at the input of star coupler

    Figure 2.26 Encoded signal at the input of Star coupler for the Desired

    user

  • 77

    Figure 2.27 Decoded signal after 1st SSFBG

    Figure 2.28 Decoded Spectrum at the input of PD 1

  • 78

    Figure 2.29 Decoded Spectrum at the input of PD 2

    Figure 2.30 Waveform at the input of PD2

  • 79

    Figure 2.31 Waveform at the input of PD1

    Figure 2.32 Spectrum after Star coupler

  • 80

    Figure 2.33 Waveform after Star coupler

    Figure 2.34 Reflected spectrum from the 1st SSFBG in the PD2

  • 81

    Figure 2.35 Reflected spectrum from the 2nd

    SSFBG in the PD2

    The schematic in Figure 2.34 shows the complete arrangement

    carried out for OOK OCDMA and programmable decoder for multiple users

    with DCU. This scheme simulates the OOK OCDMA system with intensity

    modulator and direct detection using PIN photodetector. At different stages of

    the proposed schematic, the signal and its spectrum are taken but their

    inferences are not given. Also, why the difference in the power level between

    signal and spectrum

    2.3 DPSK OCDMA SYSTEM

    The use of PSK format requires that the phase of the optical carrier

    remain stable so that phase information can be extracted at the receiver

    without ambiguity. This requirement puts a stringent condition on the

    tolerable line widths of the transmitter laser and local oscillator. The line

    width requirement can be somewhat relaxed by using a variant of the PSK

  • 82

    format, known as differential phase-shift keying (DPSK). In the case of

    DPSK, information is coded by using the phase difference between two

    neighboring bits. For instance, if k represents the phase of the kth bit, the

    phase difference = k-k-1 is changed by or 0 depending on whether kth

    bit is a 1 or 0 bit. The advantage of DPSK is that the transmittal signal can be

    demodulated successfully as long as the carrier phase remains relatively stable

    over the duration of two bits.

    Bartlomiej Kozicki et al (2008) demonstrated a flexible optical

    performance monitoring (OPM) method for phase modulated signals. The

    OSNR was measured within the range of 20 to 35dB with accumulated CD

    between -600 and +600ps/nm and PMD precisely for high capacity optical

    networks. OPM method supported NRZ, RZ-DPPSK and RZ-DQSK formats.

    However, the complications in the measurement method were not addressed.

    Choi et al (2008) described a method for in-band OSNR monitoring

    of DPSK and differential quadrature phase shift keying (DQPSK) signals by

    analyzing the spectrum obtained from self heterodyne detection. The

    technique was insensitive to the effects of CD and PMD. Complexity

    involved was not addressed. DPSK receiver design applied to strong optical

    filtering for NRZ and RZ modulation formats were analyzed by Christian

    Malouin et al (2007). For NRZ-DPSK, the measured OSNR penalty was

    obtained for a perfect one bit DI.

    Asynchronous demodulation cannot be used in the case of PSK

    format because the phase of the transmitter laser and the local oscillator are

    not locked and can drift with time. A variant of PSK, known as DPSK, can be

    demodulated by using an asynchronous DPSK receiver. However the use of

    the DPSK format permits asynchronous demodulation by using delay scheme.

    The idea is to multiply the received bit stream by a replica of it that has been

  • 83

    delayed by one bit period. The resulting signal has a component of the form

    cos(k-k-1), where k is the phase of the kth bit, which can be used to recover

    the bit pattern since information is encoded in the phase difference k-k-1.

    Such a scheme requires phase stability only over a few bits and can be

    implemented by using DFB semiconductor lasers. The filtered current is

    divided into two parts, and one part is delayed by exactly one bit period. The

    product of two currents contains information about the phase difference

    between the two neighboring bits and is used by the decision current to

    determine the bit pattern. The BER calculation is more complicated for the

    DPSK case because the signal is formed by the product of two currents.

    Hideaki Furukawa et al (2010) demonstrated optical packet

    switching and buffering operation of dense wavelength division multiplexing

    (DWDM)/NRZ-DPSK with optical payload data rate of 640 Gb/s (64

    wavelength x 10 Gb/s). Interference level of DPSK and detailed comparison

    to OOK was not carried out.

    All optical data format conversion to and from DPSK were

    proposed and numerically demonstrated by Jian Wang et al (2008).

    Multicasting, multi channel and ultrahigh speed (160 GB/s) format

    conversions were also demonstrated by simulation. However, the deviation to

    the actual application was not discussed. Chromatic dispersion limited by the

    hybrid ASK-DPSK modulation format were studied by Jian Zhao et el (2007)

    for enhancing the transmission reach, also shown that electronic equalization

    of ASK and DPSK separately did not improve the CD tolerance of ASK-

    DPSK signal. Other modulation formats were not discussed.

    Mohammad Alfiad et al (2008) demonstrated the DPSK receiver

    employing MZI with less than one bit delay. The enhanced CD tolerance of

  • 84

    4000 ps/nm at 2 dB penalty was achieved for 10.7 Gb/s NRZ-DPSK. Other

    than one bit delay was difficult to achieve.

    The block schematic of DPSK OCDMA system is shown in

    Figure 2.36. The optical laser diode is driven by the clock waveform to

    generate 1.8 ps pulses at a repetition rate of 10 GHz with a central wavelength

    of 1552.24 nm. This laser source waveform is modulated using a phase

    modulator (PM) in accordance with the DPSK encoded data. DPSK data is

    obtained from pseudorandom bit sequence generator in NRZ format. This

    NRZ data is encoded using a precoder and phase modulated with the laser

    output. The phase modulated DPSK signal is further encoded using OCDMA

    encoder corresponding to the desired user by the OCDMA encoder. All the

    other OCDMA encoded signals are MAI corresponding to 31 users which are

    coupled to the fiber through a star coupler. DPSK OCDMA decoder and one

    bit delay Mach Zehnder delay Interferometer (MZI) with balanced detection

    is used at the receiving end. The decoder performs the reverse operation of

    OCDMA encoder.

    Simulation of DPSK OCDMA is carried out using the schematic

    shown in Figure 2.21 through the following modifications (i) replacing the

    Intensity Modulator (IM) by a Phase modulator (PM) and (ii) replacing the

    single photodetector by the Balanced Modulator. However the simulation

    schematic remains the same as given in Figure 2.22.

  • 85

    Figure 2.36 DPSK-CDMA systems

    Commonly used external modulator makes use of LiNbO3

    waveguides in a Mach-Zehnder (MZ) configuration. The performance of

    external modulators is quantified through the on-off ratio, called extinction

    ratio and the modulation bandwidth. LiNbO3 modulators provide an on-off

    ratio in excess of 20 and can be modulated at speeds up to 75 GHz. The

    driving voltage is typically 5 V but can be reduced to near 3 V with a suitable

    design. Other materials can also be used to make external modulators. A

    polymeric electro-optic MZ modulator requires only 1.8 V for shifting the

    phase of a 1550 nm signal by in one of the arms of the MZ interferometer.

    Kang et al (2008) demonstrated all optical byte pattern recognition

    embedded in PSK data streaming at 40 Gb/s and used matched filtering to

    generate autocorrelation pulse. Reconfigurable Silica Planar Lightwave

    Circuit (PLC) delay line filter based correlation filter complicated the system

    hardware. Performance of 40 Gb/s DPSK demodulator in silicon-on-insulator

    (SOI) was presented by Karsten Voigt et al (2008). The delay interferometer

    manufactured in 4 m rib waveguide was presented for operation at 1550 nm.

    Although advanced temperature control for real applications was not carried

    out. Teh et al (2002) reported the fabrication and application of 255 chip

  • 86

    320 Gchip/s quaternary phase SSFBG for optical code generation and

    recognition in a four channel WDM/OCDM. However, the SSFBG was used

    with fixed codes.

    In the simulation work, 31 active users are included to characterize

    the interference. The simulation is carried out with and without optical

    thresholder (OT) as given in section 2.2.3 for DPSK OCDMA. The

    combination of optical thresholder with MZI and pin photo detectors used for

    balanced detection suppresses the MAI. DPSK OCDMA is superior to OOK

    OCDMA with advantages of improved receiver sensitivity, better tolerance to

    beat noise and multiple access interference without optical and dynamic

    threshold setting. Differentially phase coded OCDMA systems are susceptible

    to coherent beat noise and MAI. Differentially Phase coding scheme require

    additional components and the system complexity is also increased due to

    laser diode phase noise and coherence problems. Sensitivity at high data rates

    is affected by the noise of the source and interference level of the system.

    2.3.1 Generation of DPSK Signal

    The schematic to generate the DPSK signal in shown in the

    Figure 2.37.

  • 87

    Figure 2.37 Generation of DPSK Signal

    Laser diode operating at 1552.5244 nm corresponding to 193.1 THz

    with output power of 0dBm, line width of 0.1 MHz, without polarization

    reference and with zero phases generates the optical signal. The data is

    generated using a PRBS generator and precoded using one bit delay precoder

    to get the DPSK data and applied to the LiNb Mach-Zehnder modulator

    (MZM) to obtain the modulated spectrum.

    The modulated signal is then encoded with super structured fiber

    Bragg grating (SSFBG) in the encoder. This encoded output corresponds to

    the desired user. Other users operating from 1550 nm with channel spacing of

    0.645 nm (0.08 THz spacing).All the encoded outputs are combined through a

    star coupler and then to the fiber. The fiber lengths are varied from 50 kms

    to 100 kms to study the OSNR obtained at the input of the photodetector. The

  • 88

    general parameters of the system are i) sample rate = 1.3648 THz, ii) number

    of samples = 4096, iii) samples per bit = 32, with a sequence length = 128

    bits. Encoded signal from the star coupler has the following characteristics

    and are shown in the Table 2.2.The electrical eye diagram characteristics are

    given in Table 2.3. Table shows the maximum and minimum values of the

    encoded signal and noise for any of the possible number of users (encoders)

    Table 2.2 Encoded signal characteristics

    Signal power

    (dBm)

    Noise power

    (dBm) OSNR(dB)

    Minimum Value -6.5226704 -12.03328 2.0042

    Maximum value -6.2082046 -8.7438653 5.5679

    Ratio of Max/min 0.53143461 3.2893425 3.2893

    Table 2.3 Eye Diagram Comparison

    Parameters

    Eye Characteristics

    for DPSK OCDMA

    (a.u)

    Eye Characteristics

    for OOK OCDMA

    (a.u)

    Maximum Q factor 3.838 2.871

    Minimum BER 5.943e-5 170.1e-5

    Eye height 0.1982e-6 - 1.824e-6

    Threshold level - 9.103e-6 14.60e-6

    Decision instant 0.458 0.703

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    2.3.2 E/D with Walsh Code

    The encoders and the decoder are composed of fiber pigtailed

    bulk-optics-based femtosecond pulse shapers. Briefly, the encoded data

    streams are collimated onto diffraction gratings, spatially spreading out the

    spectral components of the incident pulses. The spread spectrum is incident

    upon a spatial light phase modulator (SLPM), which applies a phase shift to

    different portions of the spectrum, as designated by the OCDMA codes.

    Additional phase shifts are applied to compensate for dispersion in

    transmission fiber components and bulk optic components, collimators are

    employed. Ultimately, the eight encoder channels and single decoder require

    only a pair of pulse shapers. After reflecting back into the fiber, circulators

    route the encoded signals through the remainder of the system. All OCDMA

    encoded data sets then combine to single decoder that applies the conjugate

    phase code of the desired signal. Since both the circulator and the diffraction

    grating of the pulse shapers are polarization, the decoder doubles as a

    polarization. The equivalent functions can be performed using compact and

    fiber-based arrayed waveguide gratings, which can spread and recombine the

    spectrum.

    FBG based E/D for the 2-D time-spreading/wavelength hopping

    optical coding was proposed by Ye Zhang et al (2008). FBG based codes

    were given and the spectral analysis were also carried out. However, the

    OCDMA system was tested at the data rate of 5Gb/s only. Petropoulos et al

    (2001) investigated the benefits of using time gating in the detection process

    for OCDMA system that comprises of bipolar 64-chip long SSFBG encoders

    and decoders. It was shown that correlation combined with time gating

    detection provided resilience to the distorting effects of dispersion and MAI.

    However, the number users and the data rate were minimal for the OCDMA

    system analyzed.

  • 90

    Huiszoon et al (2007) presented the integrated device that

    performed the cost-effective parallel encoding and decoding (E/D) in SAC-

    OCDMA. However, the performance analysis were not presented or

    compared with other types of E/D. Julien Penon et al (2007) developed the

    methodology for numerical optimization of frequency response of FBG, and

    maximized the capacity of spectral amplitude coded OCDMA (SOC-

    OCDMA). Optical encoders were realized and demonstrated for the

    incoherent SAC-OCDMA system with seven simultaneous users. However,

    error free operation (BER

  • 91

    transimpedance amplifier (TIA). These parameter values are chosen for the

    application at 1.5 m instead of 2 m.

    A Balanced receiver was demonstrated to Suppress nonlinearities

    by Alexander et al (2008). However their works were in the frequency range

    of MHz only for IM/DD.

    Uni-traveling carrier photodiode (UTC) and traveling wave photo

    detector were described by Andreas Beling et al (2008) for more than

    100GHz applications. These are not essential for OCDMA system with BD.

    However, for detection at high date rates of more than 80 Gb/s the traveling

    wave photo detector is suitable.

    PMD insensitive and dispersion tolerant in - band OSNR monitor

    based on beat noise measurement was demonstrated by Bakaul (2008).

    Balanced receivers limited the suitability for high speed applications.

    Yannick Keith Lize et al (2007) demonstrated the technique for a

    simultaneous CD and PMD monitoring method using a partial bit delay in

    MZI. The technique increases CD monitoring sensitivity by a factor of two

    for NRZ intensity modulation format and a factor of five for a DPSK

    modulation format. However, realizing partial delay in MZI was critical.

    Xin Chen et al (2007) analyzed lumped dispersion compensation

    for 40 Gb/s RZ-DPSK transmission. The scheme was flexible simple and low

    cost solution for DPSK link design. However, OCDMA network analysis was

    not made. Ilya Lyubomirsky et al (2008) proposed and analyzed differential

    quadrature phase shift keying (DQPSK) receiver architecture based on optical

    frequency discriminator filtering and direct detection for enhanced CD

    tolerance. However, OSNR sensitivity was poor.

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    The balanced detector for DPSK OCDMA is illustrated in

    Figure 2.38. Balanced detection eliminates MAI for codes with fixed cross

    correlation, leaving only intensity noise. The upper arm contains an FBG with

    the decoder identical to the encoder for the data to be received. In the lower

    arm, the complementary decoder is orthogonal to the encoder spectral

    response. It contains only the frequency bins that are not present in the

    encoder. An optical attenuator is inserted to achieve balanced detection and is

    adjusted according to the used codes.

    Figure 2.38 Balanced Detection Scheme

    Optimum source and fiber characteristics are analyzed for the OCDMA

    system. Performance of OOK OCDMA system is analyzed with optical

    thresholding and direct detection. DPSK OCDMA system with balanced

    detection is analyzed.