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Universität Karlsruhe (TH) Research University · founded 1825 Communications Engineering Lab INT INT Friedrich K. Jondral Paris, March 28, 2006 Cognitive Radio – A Necessity for Spectrum Pooling

Cognitive Radio – A Necessity for Spectrum PoolingFriedrich K. Jondral Paris, March28, 2006 Cognitive Radio – A Necessity for Spectrum Pooling Universität Karlsruhe (TH) 2 Research

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  • Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Friedrich K. Jondral

    Paris, March 28, 2006

    Cognitive Radio –A Necessity forSpectrum Pooling

  • 2Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Spectrum Utilization Measurements(550-1000MHz)

    density of the

    time between

    arrivals

    dBs-1

    density of the

    time between

    arrivals

    dBs-1

    electric

    field strength

    dBµµµµV/m

    electric

    field strength

    dBµµµµV/m

    Lichtenau (Germany), September 2001

  • 3Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Synopsis

    • Spectrum Pooling

    • The Licensed User (LU) System

    • HIPERLAN/2 System Overview

    • Rental User (RU) System: Physical Layer Issues

    • Cognitive Radio

    • Rental User (RU) System: Detection and Signaling

  • 4Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Spectrum Pooling

    Vision:

    Usage of free capacities in licensed frequency bands:

    Licensed Users (LUs) lease out spectrum to Rental Users (RUs)

    FDMA / TDMA LU system and HIPERLAN/2 RU system:

    Two different radio systems →→→→ Coexistence in the same frequency region ?!

    time

    frequency

  • 5Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    • European Wireless Local Area Network Standard

    HIPERLAN/2 System Overview

    Frame CHannelFCH

    Long transport CHannelLCH

    Short transport CHannelSCH

    Random CHannelRCH

    Protocol Data UnitPDU

    Access feedback CHannelACH

    Broadcast CHannelBCH

    Medium Access ControlMAC

    MAC-FrameMAC-Frame MAC-Frame

    2 ms

    flexible Lengths

    BroadcastPhase

    DownlinkPhase

    UplinkPhase

    RandomAccess

    Pream

    ble

    Preamble

    Pream

    ble

    Preamble

    SCHs LCHsSCHs LCHs SCHsLCHsSCHsLCHs SCHsLCHsSCHs LCHs . . .

    Slotted Aloha

    Pream

    ble

    BCH ACHDownlink

    PDU StreamsUplink

    PDU StreamsFCH RCH

  • 6Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    HIPERLAN/2 System Overview

    • Physical Layer: OFDM

    Transmitter structure and spectrum

    serial-to-parallel conversion

    parallel-to-

    conversion

    serial

    Cod

    Cod

    Cod

    IDFT (FFT)

    D/ARF-Mod.

    1

    1

    1

    m

    m

    m

    d (l)1

    d (l)r

    x (t)MT

    x (t)RF

    d (l)N

    bitsequence

    . . .

    . . .

    . . .

    . . .

    . . .

    . . . . . .

    ∆f

    ff−3 f3f−2 f2f−1 f0 f1

  • 7Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    HIPERLAN/2 System Overview

    4 µs (= TU + TG)OFDM Symbol

    16 TA = 0.8 µs Guard Interval TG

    64 TA = 3.2 µs (= 1/ ∆f)Usable Part of an OFDM Symbol TU

    50 ns (= 1/20 MHz)Time Distance Between two FFT Input Samples

    TA

    312,5 kHz (= 20 MHz / 64)OFDM Subcarriers‘ Distance ∆f

    20 MHzFFT Bandwidth

    52 (= KD + KP)Total Number of OFDM Subcarriers Used K

    4Number of Pilots KP

    48Number of Data Subcarriers KD

    64Total Number of Subcarriers

  • 8Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    The Licensed User System

    1. Embedding a RU cell into a LU cell

    (Hot Spot Scenario)

    RUcell

    LU system

    2. Channel pattern and Occupancy Vector (OV)

    LU channel of width 4∆f

    carrier distance ∆f

    OV = ( 0 1 0 0 1 0 0 0 1 1 0 0 0 0 1 0 )

    LU LU LU LU LU

  • 9Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    The Licensed User System

    4. No Carrier Sense Medium Access (CSMA) in the LU system.

    3. No LU signaling channel →→→→ LU detection necessary for the RU system

    • hidden / exposed station problem

    � The detection has to cover the whole sphere of influence of the RU cell

    � Access delay for the LUs

    � Waiting period

    frequency f2

    frequency f1

    LU1 LU2 RUdetection area of the RU

  • 10Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    RU Physical Layer Issues

    • RU system synchronization

    – Necessity of a new preambel concept

    – Optimum positioning of pilots?

    • Interference reducing measures

    – Disturbances to the LU system caused by the sin(x)/x-shaped OFDM spectrum– Disturbances to the RU system by FFT leakage

    caused by the non orthogonality of the LU signals

    � LU detection and signaling

    • Optimum detection?

    • Quality of detection necessary for coexistence?

    • OV transmission calls for a new protocol

  • 11Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Detection and Signaling

    The engaged / idle decision has to be done by the RU system for each

    LU channel within the pool

    ���� The frequency resolution is realized by the anyhow existing FFT:

    1. Sampling of the signal s(k) band limited to the pool width

    2. FFT for 64 samples at a time. The process is repeated n times.

    3. The spectrum values belonging to one LU channel are integrated

    into a vector z .

    4. Decision based on z and on an optimality criterion.

  • 12Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Signal and Detector Model

    Structure of the detector in the rental user’s stationStructure of the detector in the rental user’s station

    Bandwidth of one licensed user's subband (a·∆f )

  • 13Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Joint Conditional PDFs

    NLOS assumption and central limit theorem yield:NLOS assumption and central limit theorem yield:

    Only noise in case of licensed user’s absence:Only noise in case of licensed user’s absence:

    Likelihood ratio test according to the NEYMAN-PEARSON-criterion:Likelihood ratio test according to the NEYMAN-PEARSON-criterion:

  • 14Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Detector for Uncorrelated Samples

    Under the condition , the PDF simplifies to:Under the condition , the PDF simplifies to:

    With these conditional PDFs the likelihood ratio results in:With these conditional PDFs the likelihood ratio results in:

    Considering the likelihood ratio as a transformation of random variables:Considering the likelihood ratio as a transformation of random variables:

  • 15Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Worst Case Consideration

    Maximum deviation from the model, if real/imaginary parts are fully correlated:Maximum deviation from the model, if real/imaginary parts are fully correlated:

    Hence, all are identical and can be represented by :Hence, all are identical and can be represented by :

    can be interpreted as a concatenated random variable:can be interpreted as a concatenated random variable:

  • 16Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Detection Probability

    is the marginal PDF with respect to a randomized distribution:is the marginal PDF with respect to a randomized distribution:

    The detection probability can be calculated as:The detection probability can be calculated as:

  • 17Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Receiver Operating Characteristic (ROC)

    Worst-case ROC for

    varying .

    Worst-case ROC for

    varying .

  • 18Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Distributed Detection: Single Detection

    Every rental user station

    conducts individual detection

    Every rental user station

    conducts individual detection

  • 19Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Distributed Detection: Collection

    Rental user stations transmit

    their results to the AP

    Rental user stations transmit

    their results to the AP

  • 20Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Distributed Detection: Broadcast

    After an OR-combination, the AP

    broadcasts the new allocation vector

    After an OR-combination, the AP

    broadcasts the new allocation vector

  • 21Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Gain by Distributed Detection

    Overall Probability of detection if at least one of the N stations detects the LU access:Overall Probability of detection if at least one of the N stations detects the LU access:

    Behavior of the overall false alarm probability if is

    predetermined:

    Behavior of the overall false alarm probability if is

    predetermined:

  • 22Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Spectrum Efficiency

    • Impact of the false alarm probability PF on the RU system efficiency

    relative spectrumutilizationbyLUs

    as detectedbytheRU system

    relative spectrum utilization by LUs

  • 23Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Regulation

    � Today “spectrum“ is regulated by governmental agencies, e.g. the

    American Federal Communications Commission (FCC) or the German

    Regulierungsbehörde für Telekommunikation und Post (RegTP)

    � “Spectrum“ is assigned to users or licensed to them on a long term basis

    normally for huge regions like whole countries

    � Doing so, resources are wasted

    � Vision: Resources are assigned where and as long as they are needed,

    spectrum access is organized by the network (i.e. by the end users)

  • 24Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Self Regulation

    � Wireless LANs (IEEE 802.11x)

    ISM band: 2400 – 2483.5 MHz

    WLAN band: 5150 – 5350 MHz and 5470 – 5725 MHz

    � Ultra Wide Band−40

    −55

    −70

    −45

    −60

    100

    101

    −50

    −65

    Frequency in GHz

    UWB EIRP Emission Level in dBm

    fc greaterthan 3.1 GHz

    fc less than960 MHz

    Part 15 Limit

  • 25Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Advanced Spectrum Management

    � Spectrum reallocation: The reallocation of bandwidth from government or other

    long-standing users to new services such as mobile communications, broadband

    internet access, and video distribution.

    � Spectrum leases: The relaxation of the technical and commercial limitations on

    existing licensees to use their spectrum for new or hybrid (for example, satellite and

    terrestrial) services and granting most mobile radio licensees the right to lease their

    spectrum to third parties.

    � Spectrum sharing: The allocation of an unprecedented amount of spectrum that

    could be used for unlicensed or shared services.

    According to

    G. Staple, K. Werbach: The End of Spectrum Scarcity. IEEE Spectrum, March 2004, pp. 41-44

  • 26Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Cognitive Radio

    � A Cognitive Radio (CR) is an SDR that additionally senses its

    environment, tracks changes and reacts upon its findings.

    � A CR is an autonomous unit in a communications environment. In

    order to use the spectral resource most efficiently, it has to

    - be aware of its location

    - be interference sensitive

    - comply with some communications etiquette

    - be fair against other users

    - keep its owner informed

  • 27Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Cognition Cycle

    A necessary condition for highest flexibility in mobile communications is a general rethinking in spectrum allocation: Open access

    In order to make open access feasible Cognitive Radios are necessary.

    Immediate Urgent Normal

    ACT

    Outside

    World

    New

    States

    Prior

    States

    OBSERVE LEARN

    DECIDE

    PLAN

    Generate

    Alternatives

    Evaluate

    Alternatives

    ORIENT

    Establish Priority

    Receive a Message

    Read Buttons

    Send a MessageInitiate Process(es)

    Register to

    Current Time

    Pre-Process

    Parse

    Save Global States

    Allocate Resources

    Set Display

    Infer on Context

    Hierarchie

    Joseph Mitola III: Cognitive Radio – An Integrated

    Agent Architecture for Software Defined Radio.

    KTH Stockholm, 2000

  • 28Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    CR Properties

    Mitola's cognition cycle is very general. The properties of cognitiv radios may be divided into two groups

    user centric properties (support functions like finding an appropriate restaurant, recommendation of a travel route, supervision of apointments, . . .)

    technology centric properties

    - spectrum monotoring

    - localization

    - awareness of processing capabilities (partitioning and scheduling of processes)

    - information and knowledge processing

  • 29Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Technologies to be Implemented

    � A CR carries location (e.g. GPS or Galileo) sensors.

    � It has to monitor its spectral environment, for example by using a real time

    broadband FFT.

    � In order to track its location or the spectral environment‘s development, it has to

    implement learning and reasoning algorithms.

    � When complying with a communications etiquette it has to listen before talk as well

    as to prevent the disturbance of hidden stations.

    � In order to be fair it has to compromise its own demands with the demands of other

    users, most probably making decisions in a competitive environment using the

    results of game theory.

    � It has to contact its owner via a highly sophisticated man-machine-interface.

  • 30Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Technology Centric CR

    Information & Knowledge Processing

    ControlSpectrum

    MonitoringLocalizationCore

  • 31Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    TeC-CR

    Station BStation A

    Transmission

    Channel

    measurement

    and modeling

    Reception

    Monitoring

    Spectral

    Environment

    Available

    Channel Capacity

    Transmission Power

    and Spectrum

    Management

    Interference

    Temperature

    Spectrum Holes

    Noise Statistics

    Traffic Volume

    RF Signals

    Channel

    measurement

    and modeling

    Reception

    Monitoring

    Spectral

    Environment

    Available

    Channel Capacity

    Transmission Power

    and Spectrum

    Management

    Interference

    Temperature

    RF Signals

    Spectrum Holes

    Noise Statistics

    Traffic Volume

  • 32Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Conclusions

    1. Advanced spectrum management will be a hot topic in future

    research on wireless networks.

    2. Unlicensed (ISM, WLAN) as well as secondary (UWB) spectrum

    usage are already under way.

    3. First spectrum sharing strategies (e.g. spectrum pooling) are

    under investigation.

    4. Advanced spectrum management calls for new developments in

    networking and terminal devices:

    Intelligent Networks & Cognitive Radios

  • 33Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    Questions ?

  • 34Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    SPECTRUM UTILIZATIONMEASUREMENTS (50-550 MHz)

    density of the

    time between

    arrivals

    dBs-1

    density of the

    time between

    arrivals

    dBs-1

    electric

    field strength

    dBµµµµV/m

    electric

    field strength

    dBµµµµV/m

    Lichtenau (Germany), September 2001

  • 35Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    SPECTRUM UTILIZATION(50 MHz-1GHz)

    Lichtenau (Germany), September 2001

    dB

    µµ µµV/m

  • 36Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    BOOSTING PROTOCOL (1)

    � Signaling RUs + BooSs →→→→ AP ?

    • Boosting Protocol

    Presently valid OV:LULU LU LU

    New constellation

    (after the detection

    phase) :LULU LU LU

    newly occupiedLU channel

    releasedLU channel

  • 37Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    BOOSTING PROTOCOL (2)

    Signaling of newly

    occupied channels

    Mapping phase

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

    LU LU LU LU

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

    LU LU LULU

    2 2 29 15 15 1510 10 109 9

    LU LU LU

    Boosting

  • 38Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    BOOSTING PROTOCOL (3)

    Signaling

    of further occupied

    LU channels

    New OV

    (to be signalized

    by the AP) LU LU LULU

    1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

    2 2 29 15 15 1510 10 109 9

    not to be considered

  • 39Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    SUMMARY (1)

    � Divided detection combined with a boosting protocol and robust Occupancy

    Vector signaling solves the LU detection problem and leads to a common

    base of the Physical Layer (PHY).

    Parametrized PHY (OV),

    number of usable carriers is known

    to the RU system‘s MAC

    Parametrized PHY (OV),

    number of usable carriers is known

    to the RU system‘s MAC

    MAC frame MAC frame MAC frame

    detection

    phase

    boosting

    phase

    broadcast

    phaseP P

    2 ms

  • 40Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    SUMMARY (2)

    � The RUs system‘s efficiency is mainly determined by the interference reducing

    measures!

    additionaly deactivated carrieradditionaly deactivated carrier

    LU LU LU LU LUf

    Power spectrum

    density Sxx (f)of a single

    OFDM-carrier

    Power spectrum

    density Sxx (f)of a single

    OFDM-carrierOFDM channel ∆∆∆∆f

    interference to the

    neighboring channel

  • 41Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    OUTLOOK

    • Integration of the results into our OMNeT++ software demonstrator.

    • Simulation with respect to all effects and with realistic channel models

    →→→→ Tuning of the free parameters

    • Adaptive modulation for optimal use of disturbed channels(FFT leakage)

    • MAC layer: Investigation of scheduling algorithms particulary resistent

    against bandwidth variations

  • 42Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    ACKNOWLEDGEMENT

    • Our work on spectrum pooling has been supported by the

    German Federal Ministry of Research and Technology

    under grant No. IT-KT-ITKT01338200-01BU152.

    • The work was mainly done by the INT staff members

    - Dipl.-Ing. Timo Weiß

    - Dipl.-Ing. Fatih Capar

    - Ihan Martoyo, M.Sc.

    and by our graduate students

    - Jörg Hillenbrand

    - Albert Krohn

  • 43Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    MULTIDIMENSIONALGAUSSIAN DENSITY

    � There is No Line of Sight ( NLOS ) from the LU to be detected to the measuring RU

  • 44Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    TOTAL DENSITY

    • Noise component density (AWGN)

    f zNN

    n

    T

    N

    bg c h=1

    2 exp -

    2πσ σz z2 2

    FHG

    IKJ

    • Resulting density

    Convolution of the single densities

    f fR N no LU no LUz zc h bg=fR n

    SS N

    SS N LU LU

    zC E

    z C E zTc h b g c h c h=

    +− +FHG

    IKJ

    −1

    2

    1

    22 22 1

    π σσ

    detexp

    Derivation of an optimal estimator

  • 45Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    ESTIMATOR

    • Neyman-Pearson criterion: Maximization of the detection probability PD for a givenfalse alarm probability PF

    Optimal estimator:

    z C E E zC E

    TSS N N

    SS N

    N

    n+ −+F

    HGG

    IKJJ

    − −σ σ λ

    σ

    σ2 1 2 1

    0

    2

    2c h c he j bg c hc h < -2

    LU

    lndet

    P fD R= z LU LU dz zR1

    c h

    P fF R= z no LU no LU dz zR1

    c h

    Likelihood ratio: f

    fR

    R

    LU

    no LU

    LU

    no LU

    z

    z

    c hc h >

    LU

    λ0

  • 46Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    UNKNOWN COVARIANCE MATRIX

    � Problem: For the optimal estimator CSS must be known

    • Uncorrelated spectrum values for the

    LU receiving process:

    • Completely correlated real parts and

    imaginary parts of the spectrum values:

    → mismatched estimator!optimal detection Receiver Operating Characteristic

    (ROC)

    for σσσσ² /σσσσ² = 3dB and n = 3

    optimal detection Receiver

    Operating Characteristic

    (ROC)

    for σσσσ² /σσσσ² = 3dB and n = 3NS

    completely correlated LU spectrum values

    uncorrelated LU spectrum values

    PF

    PD

  • 47Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    SNRD ESTIMATION• For which average power of a received LU signal must the LU channel be

    classified as used?

    →→→→ depends on the permissible interferences on the LUs

    AP Access PointAP

    LU r

    RU

    RU

  • 48Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    DETERMINATION OF SNRD

    Higher SNRD ����lower PF ����enhanced efficiency

    high ∆∆∆∆P is advantageous for detectionhigh ∆∆∆∆P is advantageous for detection

  • 49Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    RECEIVER OPERATING CHARACTERISTICS (ROCs)• Simulation results: worst case consideration

    ���� maximal mismatched estimator

    ROC,

    worst case,

    n = 5

    ROC,

    worst case,

    n = 5

    PD

    ROC,

    worst case,

    n = 15

    ROC,

    worst case,

    n = 15

    PD

  • 50Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    ROCs

    • best case consideration: Uncorrelated spectrum values

    Reality is somewhere between best und worst case

    →→→→ Choose n for the worst case !?

    ROC,

    best case,

    n = 15

    ROC,

    best case,

    n = 15

  • 51Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    DIVERSITY SOLUTION

    Solution:

    distributed detection (diversity)

    all mobile terminals and three additional Boosting Stations

    take measurements jointly

    PDbecomes realizable for moderate PF !

    Problems:

    multipaths (fading)

    too high false alarm probability PFPD cannot be realized with only one measurement station!

    Given detection probability : PD = 0,999

  • 52Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    DISTRIBUTED DETECTION

    Licensed UserLU

    Rental UserRU

    Boosting StationBooS

    Access PointAP

    AP

    LU

    RU

    BooS

    BooS

    RU

    BooS

    RU cell

  • 53Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    SIGNALING (1)

    • RUs + BooSs →→→→ (AP): Boosting protocol

    AP computes the elementwise „exclusive or“ of all OVs

    AP

    LU

    RU

    BooS

    BooS

    RU

    BooS

    RU cell

  • 54Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    SIGNALING (2)

    • AP →→→→ RUs + BooSs: Robust time-frequency broadcast

    AP

    LU

    RU

    BooS

    BooS

    RU

    BooS

    RU cell

    Licensed UserLU

    Rental UserRU

    Boosting StationBooS

    Access PointAP

  • 55Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    DIVERSITY-GAIN

    The individual detection results are statistically independent.

    If the receiving conditions at the (m) measuring stations (RUs and BooSs)

    are similar, we get :

    The individual detection results are statistically independent.

    If the receiving conditions at the (m) measuring stations (RUs and BooSs)

    are similar, we get :

    ���� PF decreasesPD for a specific RU may be reduced

    ���� no fadingdiversity

    What is the gain of divided detection ?

    ≈≈≈≈ 0≈≈≈≈ 00.29220

    0.0100.0010.49910

    0.3440.1000.8224

    0.6480.2940.9003

    0.8860.6620.9682

    0.9820.9820.9991

    PZFPFPDm

  • 56Universität Karlsruhe (TH)Research University · founded 1825

    Communications Engineering LabINTINT

    LU TRANSMISSION MODEL• Signal model ⊕s kf xS b g

    ∈C

    , y

    n k

    f xN b g∈C

    , y

    r k

    f xRb g∈C

    , y

    • Transition to n FFT repetitions

    f f x x x y y y fS S n n ST

    x y z z x y, , , , , , , , ,b g b g bg b g= = =1 2 1 2K K where f x y fS s

    n, :b g b g⇒ →x, y R R 2 2

    n realparts

    n imaginaryparts