Upload
ravindra12
View
269
Download
17
Embed Size (px)
Citation preview
1 © Nokia Siemens Networks
OFDMALTE Air Interface Course
3 © Nokia Siemens Networks
OFDMA
FDD and TDD ModesBasics of OFDM OFDM Transmitter OFDM Receiver OFDM Key Parameters for FDD and TDD ModesData Rate Calculation OFDMA OFDM Transmitter Simulation
4 © Nokia Siemens Networks
Air Interface Main Issues
UL
DL
UE 1
UE 2
UE 3
Air Interface
UE
eNodeB
1. Duplex Transmission
2. Multiple Access
eNodeB
eNodeB
5 © Nokia Siemens Networks
LTE FDD and TDD Modes
Uplink Downlink
Bandwidthup to 20MHz
Duplex Frequencyf
t Bandwidthup to 20MHz
GuardPeriod
f
t
Uplink
Downlink
Bandwidthup to 20MHz
6 © Nokia Siemens Networks
In FDD, DL & UL use different bands with the same bandwidth• => DL throughput = UL throughput• What happens if throughput requirements are different for DL and UL?
• Potential solution: Use different bandwidth for DL & UL?
• Hard to manage frequency bands in this case
• Simpler solution• DL & UL are duplexed in time rather than in frequency => TDD (Time Division
Duplexing)• DL & UL share the same bandwidth• DL and UL are active in different subframes
TDD vs. FDD (1/2)
7 © Nokia Siemens Networks
TDD vs. FDD (2/2)
Downlink Downlink
Uplink
Uplink
FDD TDD
Time
Frequency
Throughput
DL DLUL UL
Only this is needed
Wasted
We get what we need
Downlink throughput is also affected
8 © Nokia Siemens Networks
RF FDD architecture
Duplex filters for each Tx and Rx pathCirculator has the role of separating DL & UL waves• It must exhibit great isolation properties, so that Tx signal does not leak
into Rx path
Power amplifier
Low-Noise amplifier
TX
RX
TX Duplex Filter
RX Duplex Filter
9 © Nokia Siemens Networks
RF TDD architecture
Duplexer must switch between Tx and Rx paths• Switching driving signal must be accurate• Good timing control of the signal
Power amplifier
Low-Noise amplifier
TX
RX
Channel Filter
Channel Filter
TX
RX
Duplexer
10 © Nokia Siemens Networks
FDD and TDD Modes Comparison
FDD and TDD mode included together in the same specification
Same radio interface schemes for both uplink and downlink(OFDM and SC-FDMA)
Same subframe formats
Same network architecture
Same air interface protocols
Same physical channels procedures
FDD and TDD modes Harmonisation(commonalities)
In LTE there is a high degree of harmonisation between
FDD and TDD modes
1. Spectrum Allocation: TDD is using the same frequency bands for
both UL and DL→ FDD requires a paired spectrum with
duplex separation in frequency →TDD requires an unpaired spectrum with
some guard bands in time to separate UL and DL
2. UE complexity:In FDD the UE is requiring an duplex filter
(for UL – DL separation)In TDD the filter is not needed → Lower complexity for TDD terminals
FDD and TDD modes differences regarding the air interface
11 © Nokia Siemens Networks
Multiple Access
Time
1 2 3 4 5
2
12345
4 2
1
23
45
31
15
53
3
24
1
Pow
er
Frequency
TDMATime Division
Multiple Access,2G e.g. GSM,
PDC
FDMAFrequency Division
Multiple Access1G e.g. AMPS,
NMT, TACS
CDMACode Division
Multiple Access3G e.g. UMTS,
CDMA2000
1 2 3UE 1 UE 2 UE 3 4 UE 4 UE 55
OFDMAOrthogonal
Frequency DivisionMultiple Access
e.g. LTE
12 © Nokia Siemens Networks
Multiple Access
• In LTE OFDMA = Orthogonal Frequency Division Multiple Access it is used in the Downlink
• In the UL SC-FDMA = Single Carrier Frequency Division Multiple Access Access it is used
• OFDMA and SC-FDMA will be used for both FDD and TDD Modes!
• Approach for the explanation:• First OFDM as technology will be explained (for single user case)• Second it is shown how OFDM could be used to separate users
• UL SC-FDMA will be explained in the next chapter
13 © Nokia Siemens Networks
OFDMA
FDD and TDD ModesBasics of OFDM OFDM Transmitter OFDM Receiver OFDM Key Parameters for FDD and TDD ModesData Rate Calculation OFDMA OFDM Transmitter Simulation
14 © Nokia Siemens Networks
Challenges for the Air Interface Design
For the LTE Air Interface design it should be considered a trade-off between the following factors (based on the LTE requirements):
1. What should be the required radio spectrum ?
2. Speed of data transmission (bit rate as high as possible)
3. Complexity of implementation (as small as possible)
→ How could it be realised ?
Solution: use the rectangular pulse shape (see next slide)
15 © Nokia Siemens Networks
The Rectangular Pulse
Advantages:+ Simple to implement: there is no complex filter system required to detect such pulses and to generate them.+ The pulse has a clearly defined duration. This is a major advantage in case of multi-path propagation environments as it simplifies handling of inter-symbol interference.
Disadvantage: - it allocates a quite huge spectrum. However the spectral power density has null points exactly at multiples of the frequency fs = 1/Ts. This will be important in OFDM.
time
ampl
itude
Ts
f s 1Ts
Time Domain
frequency f/fs
spec
tral
pow
er d
ensi
ty Frequency Domain
fs
FourierTransform
Inverse FourierTransform
16 © Nokia Siemens Networks
Fourier Transform
InverseFourier Transform
Time Domain
Frequency Domain
W 1Tc
Tc
Fc
1.3 * W
Pulse Form and Spectrum in WCDMA
As a counter example look at the root raised cosine roll off pulse that is used in WCDMA. As one can see this pulse is not clearly located in the time domain. So if we put two such pulses one after another, there will be always some interference from the first to the second. On the other hand the spectrum of these pulses is concentrated in a clearly defined frequency band.
17 © Nokia Siemens Networks
OFDM Basics• Transmits hundreds or even thousands of separately modulated radio signals using orthogonal subcarriers spread across a wideband channel
Orthogonality:
The peak ( centre frequency) of one subcarrier …
…intercepts the ‘nulls’ of the neighbouring subcarriers
15 kHz in LTE: fixed
Total transmission bandwidth
18 © Nokia Siemens Networks
OFDM Basics
• Data is sent in parallel across the set of subcarriers, each subcarrier only transports a part of the whole transmission
• The throughput is the sum of the data rates of each individual (or used) subcarriers while the power is distributed to all used subcarriers
• FFT ( Fast Fourier Transform) is used to create the orthogonal subcarriers. The number of subcarriers is determined by the FFT size ( by the bandwidth)
Power
frequency
bandwidth
19 © Nokia Siemens Networks
The OFDM Signal
20 © Nokia Siemens Networks
Challenges for the Air Interface Design
The usage of the pulse leads to other challenges to be solved:
1. ISI = Intersymbol InterferenceDue to multipath propagation
2. ACI = Adjacent Carrier Interference Due to the fact that FDM = frequency division multiplexing will be used
3. ICI = Intercarrier Interference Losing orthogonality between subcarriers because of effects like e.g. Doppler
→ What should be the solutions to these challenges?(see next slides)
21 © Nokia Siemens Networks
1. Multi-Path Propagation and Inter-Symbol Interference
1. Inter Symbol Interference
BTSTime 0 Ts
+
d1(Direct path)
d3
d2
d1< d2 < d3
Time 0 Tt Ts+Tt
Tt
22 © Nokia Siemens Networks
Multi-Path Propagation and the Guard Period2
time
TSYMBOL
Time Domain
1
3
time
TSYMBOL
time
TSYMBOL
Tg
1
2
3
Guard Period (GP)
Guard Period (GP)
Guard Period (GP)
(Direct path)
23 © Nokia Siemens Networks
Obviously when the delay spread of the multi-path environment is greater than the guard period duration (Tg), then we encounter inter-symbol interference (ISI)
Propagation Delay Exceeding the Guard Period
12
34
time
TSYMBOLTime Domain
time
time
Tg
1
2
3
time
4
24 © Nokia Siemens Networks
Cyclic Prefix
symbolCP
time
Tsymb
12
3
1
2
3
Tcp
symbolCP symbolCP
symbolCP symbolCP symbolCP
symbolCP symbolCP symbolCP
25 © Nokia Siemens Networks
Cyclic Prefix
T [TS] 160 2048 144 2048 144 2048 144 2048 144 2048 144 2048 144 2048
T [µs] 5,2 66,7 4,7 66,7 4,7 66,7 4,7 66,7 4,7 66,7 4,7 66,7 4,7 66,7
max. delay [km] 1,6 1,4 1,4 1,4 1,4 1,4 1,4
T [TS] 512 2048 512 2048 512 2048 512 2048 512 2048 512 2048
T [µs] 16,7 66,7 16,7 66,7 16,7 66,7 16,7 66,7 16,7 66,7 16,7 66,7
max. delay [km] 5,0 5,0 5,0 5,0 5,0 5,0
In LTE the slot of 500 µs is subdivided in the (useful part of the) symbol (grey) and CPs as follows:
For the extended CP slot structure the overall 500 µs is kept but the number of symbols is reduced in order to extent the cyclic prefix durations:
26 © Nokia Siemens Networks
Challenges for the Air Interface Design The usage of the pulse leads to other challenges to be solved:
1. ISI = Intersymbol InterferenceDue to multipath propagation → solution: use cyclic prefix
2. ACI = Adjacent Carrier Interference Due to the fact that FDM = frequency division multiplexing will be used
3. ICI = Intercarrier Interference Losing orthogonality between subcarriers because of effects like e.g. Doppler
→ What should be the solutions to these challenges?(see next slides)
27 © Nokia Siemens Networks
Multi-Carrier Modulation
The center frequencies must be spaced so that interference between different carriers, known as Adjacent Carrier Interference ACI, is minimized; but not too much spaced as the total bandwidth will be wasted.
Each carrier uses an upper and lower guard band to protect itself from its adjacent carriers. Nevertheless, there will always be some interference between the adjacent carriers.
frequency
∆fsubcarrier
f0 f1 f2 fN-1fN-2
∆fsub-used
2. ACI = Adjacent Carrier Interference
28 © Nokia Siemens Networks
OFDM: Orthogonal Frequency Division Multi-Carrier
OFDM allows a tight packing of small carrier - called the subcarriers - into a given frequency band.
No ACI (Adjacent Carrier Interference) in OFDM due to the orthogonal subcarriers !
Pow
er D
ensi
ty
Pow
er D
ensi
ty
Frequency (f/fs) Frequency (f/fs)
Saved Bandwidth
29 © Nokia Siemens Networks
Challenges for the Air Interface Design
The usage of the pulse leads to other challenges to be solved:
1. ISI = Intersymbol InterferenceDue to multipath propagation → solution: use cyclic prefix
2. ACI = Adjacent Carrier Interference Due to the fact that FDM = frequency division multiplexing will be used
→ solution: orthogonal subcarriers 3. ICI = Intercarrier Interference
Losing orthogonality between subcarriers because of effects like e.g. Doppler
→ What should be the solutions to these challenges?(see next slides)
30 © Nokia Siemens Networks
Inter-Carrier Interference (ICI) in OFDM
•The price for the optimum subcarrier spacing is the sensitivity of OFDM to frequency errors.•If the receiver’s frequency slips some fractions from the subcarriers center frequencies, then we encounter not only interference between adjacent carriers, but in principle between all carriers. •This is known as Inter-Carrier Interference (ICI) and sometimes also referred to as Leakage Effect in the theory of discrete Fourier transform.• One possible cause that introduces frequency errors is a fast moving Transmitter or Receiver (Doppler effect).
31 © Nokia Siemens Networks
f0 f1 f2 f3 f4
∆P
I3
I1I4I0
3. IC
I = In
ter-
Car
rier I
nter
fere
nce
Leakage Effect due to Frequency Drift: ICI
Two effects begin to work:1.-Subcarrier 2 has no longer its power density maximum here - so we loose some signal energy.
2.-The rest of subcarriers (0, 1, 3 and 4) have no longer a null point here. So we get some noise from the other subcarrier.
32 © Nokia Siemens Networks
Challenges for the Air Interface Design The usage of the pulse leads to other challenges to be solved:
1. ISI = Intersymbol InterferenceDue to multipath propagation → solution: use cyclic prefix
2. ACI = Adjacent Carrier Interference Due to the fact that FDM = frequency division multiplexing will be used
→ solution: orthogonal subcarriers
3. ICI = Intercarrier Interference Losing orthogonality between subcarriers because of effects like e.g. Doppler→ solution: use reference signals – will be explained in chapter 7
33 © Nokia Siemens Networks
OFDMA
FDD and TDD ModesBasics of OFDM OFDM Transmitter OFDM Receiver OFDM Key Parameters for FDD and TDD ModesData Rate Calculation OFDMA OFDM Transmitter Simulation
34 © Nokia Siemens Networks
LowPass
cos(2πfct)
-sin(2πfct)
I
Q
ModulationMapper
IFFT
s0
ModulationMapper
s1
ModulationMapper
sN-1
b10 ,b11,…
Serial toParallel
Converter(Bit
Distrib.)
b20 ,b21,…
bN-1 0 …
BinaryCodedData
.
.
.
D
Ax0, x1, …, xN-1 IQSplit
LowPass
D
A
RF
freq.f1 f2f0 fN-1
…
s0
s1 sN-1
s2
Freq
uenc
y D
omai
n
timet1 t2t0 tN-1
…x0 x1
xN-1
x2
TimeDomain
CP/
Gua
rdG
ener
atio
n I
Q
OFDM Transmitter
Time Domain Signal
Frequency Domain Signal:(Collection of Sinusoids)
•Each entry to the IFFT module corresponds to a different sub-carrier•Each sub-carrier is modulated independently•Modulation Schemes:•BPSK,QPSK, 16QAM, 64QAM
35 © Nokia Siemens Networks
OFDMA
FDD and TDD ModesBasics of OFDM OFDM Transmitter OFDM Receiver OFDM Key Parameters for FDD and TDD ModesData Rate Calculation OFDMA OFDM Transmitter Simulation
36 © Nokia Siemens Networks
reference(pilot)
Cha
nnel
Cor
rect
ion
Dem
odul
ator
Bit Mapping
j
I
Q
A
D
ChannelEstimation
RF
Low
Noi
se A
mp.
+ B
andp
ass
A
D
AGCAutomatic
Gain Control
De-rotator
sign
al s
tren
gth
LNA gain
Frequency And Timing Sync
sign
al a
utoc
orre
atio
n
phas
e co
rrec
tion
timee
adju
st
.
.
.
s’0
s’1
s’N-1
chan
nel
resp
onse
s0
Bit Mappings1
Bit MappingsN-1
.
.
.
.
.
.
.
.
.
B10 ,B11,…
B20 ,B21,…
BN-1 0 …
Bit
Dis
trib
utio
n
Soft BitCodedData
freq.f1 f2f0 fN-1
…
s0
s1 sN-1
s2
Frequency Domain
Time Domain
timet1 t2t0 tN-1
…y0 y1
yN-1
x2
QPSK
Im
Re
10
11
00
01
sk
d11
d10
OFDM Receiver
Win
dow
ing
+FF
T
Freq
uenc
y D
omai
n
37 © Nokia Siemens Networks
OFDMA
FDD and TDD ModesBasics of OFDM OFDM Transmitter OFDM Receiver OFDM Key Parameters for FDD and TDD ModesData Rate Calculation OFDMA OFDM Transmitter Simulation
38 © Nokia Siemens Networks
OFDM Key Parameters
2. Subcarrier Spacing (Δf = 15 KHz) → The Symbol time isTsymbol = 1/ Δf = 66,7μs
Δf
A compromise needed between: → Δf as small as possibile so that the symbol time Tsymbol is as large as possibile. This is beneficial to solve Intersymbol Interference in time domain → A too small subcarrier spacing it is increasing the ICI = Intercarrier Interference due to Doppler effect
TSYMBOL
TCP SYMBOL
TCP
TS
Frequency
Time
Powerdensity
Amplitude
1. Variable Bandwidth (BW) Bandwidth options: 1.4, 3, 5, 10, 15 and 20 MHz
Frequency
A higher Bandwidth is better because a higher peak data rate could be achived and also bigger capacity. Also the physical layer overhead is lower for higher bandwidth
39 © Nokia Siemens Networks
OFDM Key Parameters
3. The number of Subcarriers Nc→ Nc x Δf = BW
In LTE not all the available channel bandwidth (e.g. 20 MHz) will be used. For the transmission bandwidth typically 10% guard band is considered (to avoid the out band emissions).If BW = 20MHz → Transmission BW = 20MHz – 2MHz = 18 MHz→ the number of subcarriers Nc = 18MHz/15KHz = 1200 subcarriers
TransmissionBandwidth [RB]
Transmission Bandwidth Configuration [RB]
Channel Bandwidth [MHz]
Resource block
Channel edge
Channel edge
DC carrier (downlink only)Active Resource Blocks
40 © Nokia Siemens Networks
OFDM Key Parameters
4. FFT (Fast Fourier Transform) size Nfft
Nfft should be chosen so that:1.Nfft > Nc number of subcarriers (sampling theorem) 2.Should be a power of 2 (to speed-up the FFT operation) Therefore for a bandwidth BW = 20 MHz → Nc = 1200 subcarriers not a power of 2→ The next power of 2 is 2048 → the rest 2048 -1200 = 848 padded with zeros
5. Sampling rate fs
This parameter indicates what is the sampling frequency:→ fs = Nfft x ΔfExample: for a bandwidth BW = 5 MHz (with 10% guard band)The number of subcarriers Nc = 4.5 MHz/ 15 KHz = 300 300 is not a power of 2 → next power of 2 is 512 → Nfft = 512Fs = 512 x 15 KHz = 7,68 MHz → fs = 2 x 3,84 MHz which is the chip rate in UMTS!!
The sampling rate is a multiple of the chip rate from UMTS/ HSPA. This was acomplished because the
subcarriers spacing is 15 KHz. This means UMTS and LTEhave the same clock timing!
41 © Nokia Siemens Networks
Resource Block and Resource Element
– 12 subcarriers in frequency domain x 1 slot period in time domain.
0 1 2 3 4 5 6 0 1 2 3 4 5 6Subcarrier 1
Subcarrier 12
180
KH
z
1 slot 1 slot
1 ms subframe
RB
• Capacity allocation is based on Resource Blocks
• Resource Element ( RE): – 1 subcarrier x 1 symbol period– Theoretical minimum capacity
allocation unit.– 1 RE is the equivalent of 1
modulation symbol on a subcarrier, i.e. 2 bits for QPSK, 4 bits for 16QAM and 6 bits for 64QAM.
Resource Element
0 1 2 3 4 5 6 0 1 2 3 4 5 6
0 1 2 3 4 5 6 0 1 2 3 4 5 60 1 2 3 4 5 6 0 1 2 3 4 5 60 1 2 3 4 5 6 0 1 2 3 4 5 60 1 2 3 4 5 6 0 1 2 3 4 5 6
0 1 2 3 4 5 6 0 1 2 3 4 5 6
0 1 2 3 4 5 6 0 1 2 3 4 5 60 1 2 3 4 5 6 0 1 2 3 4 5 6
0 1 2 3 4 5 6 0 1 2 3 4 5 6
0 1 2 3 4 5 6 0 1 2 3 4 5 60 1 2 3 4 5 6 0 1 2 3 4 5 6
6. Physical Resource Block or Resource Block (PRB or RB)
42 © Nokia Siemens Networks
OFDM Key Parameters for FDD and TDD Modes
43 © Nokia Siemens Networks
OFDMA
FDD and TDD ModesBasics of OFDM OFDM Transmitter OFDM Receiver OFDM Key Parameters for FDD and TDD ModesData Rate Calculation OFDMA OFDM Transmitter Simulation
44 © Nokia Siemens Networks
Data Rate Calculation
1. Maximum channel data rate
The maximum channel data rate is calculated taking into account the total number of the available resource blocks in 1 TTI = 1msMax Data Rate = Number of Resource Blocks x 12 subcarriers x (14 symbols/ 1ms)
= Number of Resouce Blocks x (168 symbols/1ms)
2. Impact of the Channel Bandwith: 5, 10, 20 MHz
For BW = 5MHz -> there are 25 Resource Blocks-> Max Data Rate = 25 x (168 symbols/1ms) = 4,2 * Msymbols/sBW = 10MHz -> 50 Resource Blocks -> Max Data Rate = 8,4 Msymbols/s BW = 20MHz -> 100 Resource Blocks -> Max Data Rate =16,8 Msymbols/s
3. Impact of the Modulation: QPSK, 16QAM, 64QAM
For QPSK – 2bits/symbol; 16QAM – 4bits/symbol; 64QAM – 6 bits/symbol QPSK: Max Data Rate = 16,4 Msymbols/s * 2bits/symbol = 32,8 Mbits/s (bandwith of 20 MHz)16QAM: Max Data Rate = 16,4 Msymbols/s * 4 bits/symbols = 65,6 Mbits/s64QAM: Max Data Rate = 16,4 Msymbols/s * 6 bits/symbols = 98,4 Mbits/s
45 © Nokia Siemens Networks
Data Rate Calculation
4. Impact of the Channel Coding
Channel Coding will be discussed in chapter 6. In LTE Turbo coding of rate 1/3 will be used. The effective coding rate is dependent on the Modulation and Coding Scheme selected by the scheduler in the eNodeB. In practice several coding rates can be obtained. Here it is considered 1/2 and 3/41/2 coding rate: Max Data rate = 98,4 Mbits/s * 0,5 = 49,2 Mbits/s 3/4 coding rate: Max Data rate = 98,4 Mbits/s * 0,75 = 73,8 Mbits/s
5. Impact of MIMO = Multiple Input Multiple Output
MIMO is discussed in chapter 9. If spatial diversity it is used (2x2 MIMO) then the data rate will be doubled since the data is sent in parallel in 2 different streams using 2 different antennas2x2 MIMO: Max Data Rate = 73,8 Mbit/s * 2 = 147,6 Mbits/s
6. Impact of physical layer overhead and higher layers overhead
The real data rate of the user will be further reduced if the physical layer overhead is considered. Also the higher layers may introduce overhead as shown in chapter number 2. For example IP , PDCP , RLC and MAC are introducing their own headers. This type of overheads are not discussed here
46 © Nokia Siemens Networks
OFDMA
FDD and TDD ModesBasics of OFDM OFDM Transmitter OFDM Receiver OFDM Key Parameters for FDD and TDD ModesData Rate Calculation OFDMA OFDM Transmitter Simulation
47 © Nokia Siemens Networks
OFDM Multiple Access
Up to here we have only discussed simple point-to-point or broadcast OFDM.
Now we have to analyze how to handle access of multiple users simultaneously to the system, each one using OFDM.
OFDM can be combined with several different methods to handle multi-user systems:
1.-Plain OFDM
3.-Orthogonal Frequency Division Multiple Access OFDMA®
2.-Time Division Multiple Access via OFDM
48 © Nokia Siemens Networks
OFDM
•OFDM stands for Orthogonal Frequency Division Multicarrier•OFDM: Plain or Normal OFDM has no built-in multiple-access mechanism.• This is suitable for broadcast systems like DVB-T/H which transmit only broadcast and multicast signals and do not really need an uplink feedback channel (although such systems exist too).
•Now we have to analyze how to handle access of multiple users simultaneously to the system, each one using OFDM.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
Plain OFDM
time
subc
arrie
r
...
...
...
...
...
...
...
...
...
1 2 3 common info(may be addressed via Higher Layers)
UE 1 UE 2 UE 3
49 © Nokia Siemens Networks
OFDMA®
•OFDMA® stands for Orthogonal Frequency Division Multiple Access •It is a registered trademark by Runcom Ltd. •The basic idea is to assign subcarriers to users based on their bit rate services. With this approach it is quite easy to handle high and low bit rate users simultaneously in a single system.•But still it is difficult to run highly variable traffic efficiently.•The solution to this problem is to assign to a single users so called resource blocks or scheduling blocks.•Such block is simply a set of some subcarriers over some time. •A single user can then use one or more Resource blocks.
11
1
.
.
.
2
.
.
.
3
.
.
.
.
.
.
.
.
.
Orthogonal FrequencyMultiple Access
OFDMA®time
...
...
...
...
...
...
...
...
...
11
1 1
222
2 2
3 33 3 3
1
subc
arrie
r
11 1 1
111
3 3 333 3 3 33
Resource Block (RB)1 2 3 common info
(may be addressed via Higher Layers)
UE 1 UE 2 UE 3
50 © Nokia Siemens Networks
OFDMA
FDD and TDD ModesBasics of OFDM OFDM Transmitter OFDM Receiver OFDM Key Parameters for FDD and TDD ModesData Rate Calculation OFDMA OFDM Transmitter Simulation
51 © Nokia Siemens Networks
OFDM Transmitter Simulation – Assumptions
• All 1200 subcarriers subcarriers are transmitted (assuming that the system bandwidth is 20 MHz)
• Transmit only one OFDM symbol (66.7 us)
• No difference between the subcarriers used for physical layer overhead and the subcarriers used for transmission of user data – No difference between different physical channels like e.g. PBCH (Physical Broadcast
Channel). The difference could be seen in parameters like e.g. modulation
• The serial to parallel convertor is not considered (because it assumed to transmit only one OFDM symbol)
• Cyclic prefix insertion neglected (less relevant for simulation – impact on symbol duration only)
52 © Nokia Siemens Networks
Serial toParallel
Converter(Bit
Distrib.)
BinaryCodedData
b10
b20
bN-1
A random string is generated with N=1200 integers numbers from 0 to 3 that needs to be transmitted; For simplicity only first 40 integers are plotted (the same is true for the rest of the simulation) One can look at this sequence vertically, as being the output of the serial to parallel block (only one OFDM symbol is transmitted )
Data Generation
53 © Nokia Siemens Networks
OFDM Transmitter
LowPass
cos(2πfct)
-sin(2πfct)
I
Q
ModulationMapper
IFFT
s0
ModulationMapper
s1
ModulationMapper
sN-1
b10 ,b11,…
Serial toParallel
Converter(Bit
Distrib.)
b20 ,b21,…
bN-1 0 …
.
.
.
D
Ax0, x1, …, xN-1 IQSplit
LowPass
D
A
RF
Freq
uenc
y Do
mai
nTime
Domain
CP/
Gua
rdG
ener
atio
n I
Q
BinaryCodedData
• QPSK modulation assumed(16QAM or 64QAM also possibile)
54 © Nokia Siemens Networks
QPSK ModulationOur Tx Bit 1 Bit 0 I Q
0 0 0 +1 +1
1 0 1 -1 +1
2 1 0 -1 -1
3 1 1 +1 -1
Step 1 of QPSK modulation: map the input bits to the symbols using the constelation diagram I + jQ (complex = inphase + quadrature)
Step 2 of the QPSK modulation : in LTE the complex symbols are input for the IFFT !
55 © Nokia Siemens Networks
ModulationMapper
ModulationMapper
ModulationMapper
s0
s1
sN-1
.
.
.
Note that the sequence … is a complex sequence = I + jQ (Inphase and Quadrature)s0 sN-1
56 © Nokia Siemens Networks
OFDM Transmitter
LowPass
cos(2πfct)
-sin(2πfct)
I
Q
ModulationMapper
IFFT
s0
ModulationMapper
s1
ModulationMapper
sN-1
b10 ,b11,…
Serial toParallel
Converter(Bit
Distrib.)
b20 ,b21,…
bN-1 0 …
.
.
.
D
Ax0, x1, …, xN-1 IQSplit
LowPass
D
A
RF
Freq
uenc
y Do
mai
nTime
Domain
CP/
Gua
rdG
ener
atio
n I
Q
BinaryCodedData
• IFFT = Inverse Fast Fourier Transformation
57 © Nokia Siemens Networks
IFFTTime
Domain
x0, x1, …, xN-1
IFFT Result –> Time Domain
Result interpretation:1. The signal is complex =
I+jQ2. The signal is almost
white noise (1200 subcarriers each with equal
magnitude)
58 © Nokia Siemens Networks
Zero padded subcarriers2048-1200 = 848
First 600 subcarriersBW=600*15kHz=9MHz
Last 600 subcarriersBW=600*15kHz=9MHzTotal BW=18MHz
IFFT Result -> Frequency Domain
The spectrum is splitted in 2 parts because of the zero padding in
the middle of the sequence
Low pass filtering requiredto achieve a compact spectrum
59 © Nokia Siemens Networks
OFDM Transmitter
cos(2πfct)
-sin(2πfct)
ModulationMapper
IFFT
s0
ModulationMapper
s1
ModulationMapper
sN-1
b10 ,b11,…
Serial toParallel
Converter(Bit
Distrib.)
b20 ,b21,…
bN-1 0 …
.
.
.
x0, x1, …, xN-1 IQSplit
LowPass
I
Q
D
A
LowPass
D
A
RF
Freq
uenc
y Do
mai
nTime
Domain
CP/
Gua
rdG
ener
atio
n I
Q
BinaryCodedData
•Digital to Analog Conversion and Low Pass Filtering
60 © Nokia Siemens Networks
LowPass
I
Q
D
A
LowPass
D
A
Note the delay produced by the filtering process (low pass filtering)
61 © Nokia Siemens Networks
OFDM Transmitter
LowPass
cos(2πfct)
-sin(2πfct)
I
Q
ModulationMapper
IFFT
s0
ModulationMapper
s1
ModulationMapper
sN-1
b10 ,b11,…
Serial toParallel
Converter(Bit
Distrib.)
b20 ,b21,…
bN-1 0 …
.
.
.
D
Ax0, x1, …, xN-1 IQSplit
LowPass
D
A
RF
Freq
uenc
y Do
mai
nTime
Domain
CP/
Gua
rdG
ener
atio
n I
Q
BinaryCodedData
•Up - Conversion
62 © Nokia Siemens Networks
This is the signal transmitted over the air interface It can be observed the large value of the PAR (peak to average ratio) in the time response
Up-conversion -> Time Domain Result
63 © Nokia Siemens Networks
Up-conversion -> Frequency Domain Result
64 © Nokia Siemens Networks
OFDM Transmitter Overview
LowPass
cos(2πfct)
-sin(2πfct)
I
Q
ModulationMapper
IFFT
s0
ModulationMapper
s1
ModulationMapper
sN-1
b10 ,b11,…
Serial toParallel
Converter(Bit
Distrib.)
b20 ,b21,…
bN-1 0 …
.
.
.
D
Ax0, x1, …, xN-1 IQSplit
LowPass
D
A
RF
Freq
uenc
y Do
mai
nTime
Domain
CP/
Gua
rdG
ener
atio
n I
Q
BinaryCodedData