APRIL 2002, PARISIPCN02 M. Ergen A Survey on Channel Estimation Techniques Based on Pilot...
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APRIL 2002, PARIS IPCN02 M. Ergen
A Survey on Channel Estimation Techniques
Based on Pilot Arrangement in OFDM Systems
byMustafa Ergen
Authors: Sinem Coleri, Mustafa Ergen{csinem,ergen}@eecs.berkeley.edu
Berkeley Web Over Wireless GroupUniversity of California Berkeley
APRIL 2002, PARIS IPCN02 M. Ergen
Outline
• Motivation for OFDM
• OFDM System Architecture
• Channel Estimation Techniques
• Performance Analysis
• Conclusion
APRIL 2002, PARIS IPCN02 M. Ergen
Motivation for OFDM
• Disadvantages of FDMA– Bad Spectrum Usage
• Disadvantages of TDMA– Multipath Delay spread problem
APRIL 2002, PARIS IPCN02 M. Ergen
OFDM: Use of Frequency Spectrum
• Efficient use of spectrum– Overlap in frequency spectrum of subcarriers
• Null point of all other subcarriers at the center frequency of any particular subcarrier
Frequency spectrum of the subcarriers
APRIL 2002, PARIS IPCN02 M. Ergen
Multipath Delay Spread
• Multi-path delay spread definition– Time spread between the arrival of the first and last
multipath signal, seen by the receiver.• Received radio signal consisting of a direct signal, plus
reflections from objects
• Multi-path delay spread effect– Inter-Symbol Interference (ISI) when the delayed
multipath signal overlaps with the symbols following it
APRIL 2002, PARIS IPCN02 M. Ergen
OFDM: Eliminating ISI
• Cyclic Prefix– Prepend the last part of the signal to the beginning of the
signal• Duration of the CP larger than multipath delay spread• Orthogonality of the carriers not affected.
APRIL 2002, PARIS IPCN02 M. Ergen
OFDM Overview
• Divides high-speed serial information signal into multiple lower-speed sub-signals.– Transmits simultaneously at different frequencies in
parallel.
• Modulation ( BPSK, PSK,QPSK,16QAM, …).
• Pilot subcarriers used to prevent frequency and phase shift errors.
APRIL 2002, PARIS IPCN02 M. Ergen
Benefits of OFDM
• Higher data rates– Overlap of subcarriers
• Lower bandwidth than spread spectrum.– High spectral efficiency
• Lower multi-path distortion– Usage of cyclic prefix
APRIL 2002, PARIS IPCN02 M. Ergen
Our OFDM System Assumptions
Usage of cyclic Prefix
Impulse response of the channel shorter than Cyclic Prefix.
Slow fading effects so that the channel is time-invariant over the symbol interval.
Rectangular Windowing of the transmitted pulses
Perfect Synchronization of transmitter and receiver
Additive, white, Gaussian channel noise
APRIL 2002, PARIS IPCN02 M. Ergen
1,...,2,1,0
Nn
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f nwnhnxy ff
1,...,1,0 Nnnyny f
1,...,2,1,0
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1,...,1,0
Nk
kWkIkHkXkY 1,...,1,0 NkkH
kYkX
ee
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32
System Architecture-2Input to Time Domain
Guard Interval Channel
Guard Removal Output to Frequency Domain
Output Channel EstimationICI AWGNChannel Estimated Channel
APRIL 2002, PARIS IPCN02 M. Ergen
Pilot Arrangement
• Block Type– All sub-carriers
reserved for pilots wit a specific period
• Comb Type– Some sub-carriers are
reserved for pilots for each symbol
APRIL 2002, PARIS IPCN02 M. Ergen
Channel Estimation @Block-Type
1
0
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,...,,
N
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LS
y
y
y
xxxdiagXwhere
yXh
LS estimate MMSE estimate
MMSEMMSE
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APRIL 2002, PARIS IPCN02 M. Ergen
Channel Estimation @ Block-Type
Block Type Decision Feedback Interpolation
1,...,1,0 NkkH
kYkX
ee
1,...,0 NkkX
kYkH
puree
He -kth sub-carrier Channel Response Estimated
Xe(k) -> signal demapper -> signal mapper -> Xpure(k)
Use same channel estimation for the whole symbol duration
APRIL 2002, PARIS IPCN02 M. Ergen
Channel Estimation @ Comb-Type Pilot
•Np pilot signals uniformly inserted in X(k)•L=Number of Carriers/Np
•{Hp(k) k=0,1,…,Np} , channel at pilot sub-carriers•Xp input at the kth pilot sub-carrier•Yp output at the kth pilot sub-carrier
LMS EstimateLS Estimate
0,
1,...,1,.inflmpx
Lldata
lmLXkX
1,...,1,0 p
p
pp Nk
kX
kYkH
APRIL 2002, PARIS IPCN02 M. Ergen
Interpolation @ Comb-Type
•Linear Interpolation
•Second Order Interpolation
•Low pass Interpolation
•Spline Cubic Interpolation
•Time Domain Interpolation
APRIL 2002, PARIS IPCN02 M. Ergen
Ll
mHL
lmHmH
lmLHkH
ppp
ee
0
1
Linear Interpolation Second Order Interpolation
Nl
mpHcmpHcmpHc
c
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c
where
lmLHkH ee
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,110
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Low Pass Interpolation (interp in MATLAB)
Interpolation @ Comb-Type
Time Domain Interpolation
Spline Cubic Interpolation (spline in MATLAB)
•Insert zeros into the original sequence
•Low-pass filter while passing original data unchanged
•Interpolation such that mean-square error between ideal and interpolated values min.
APRIL 2002, PARIS IPCN02 M. Ergen
OFDM SetupParameter Specifications
FFT Size 1024
Number of Carriers 128
Pilot Ratio 1/8
Guard Length 256
Guard Type Cyclic Extension
Sample rate of OFDM signal
44.1kHz
Bandwidth 17.5kHz
Signal Constellation BPSK, QPSK, DQPSK, 16QAM
APRIL 2002, PARIS IPCN02 M. Ergen
Channels
Delay (OFDM samples) Gain Phase(rad)
0 0.2478 -2.5649
1 0.1287 -2.1208
3 0.3088 0.3548
4 0.4252 0.4187
5 0.49 2.7201
7 0.0365 -1.4375
8 0.1197 1.1302
12 0.1948 -0.8092
17 0.4187 -0.1545
24 0.317 -2.2159
29 0.2055 2.8372
49 0.1846 2.8641
Delay Amplitude
0 1
2 0.3162
17 0.1995
36 0.1296
75 0.1
137 0.1
Channel 1 Channel 2
nwnahnh 1
Time Varying Channel (AR Model)
ATTC (Advanced Television Technology Center)
and the Grande Alliance DTV laboratory`s ensemble E model
Simplified version of (Digital Video Broadcasting) DVB-T channel model
APRIL 2002, PARIS IPCN02 M. Ergen
Simulation-1
Modulation BPSK
Channel Rayleigh Fading
H(n) Channel 1
Doppler Frequency
70Hz
APRIL 2002, PARIS IPCN02 M. Ergen
Modulation QPSK
Channel Rayleigh Fading
H(n) Channel 1
Doppler Frequency
70Hz
Simulation-2
APRIL 2002, PARIS IPCN02 M. Ergen
Modulation 16QAM
Channel Rayleigh Fading
H(n) Channel 1
Doppler Frequency
70Hz
Simulation-3
APRIL 2002, PARIS IPCN02 M. Ergen
Modulation DQPSK
Channel Rayleigh Fading
H(n) Channel 1
Doppler Frequency
70Hz
Simulation-4
APRIL 2002, PARIS IPCN02 M. Ergen
Simulation-5
Modulation 16QAM
Channel AR Fading
H(n) Channel 1
Doppler Frequency
70Hz
APRIL 2002, PARIS IPCN02 M. Ergen
Modulation 16QAM
Channel Rayleigh Fading
H(n) Channel 2
Doppler Frequency
70Hz
Simulation-6
APRIL 2002, PARIS IPCN02 M. Ergen
Modulation 16QAM
Channel Rayleigh Fading
H(n) Channel 1
SNR 40dB
Simulation-7
APRIL 2002, PARIS IPCN02 M. Ergen
Conclusion•OFDM System•Block Type
•Direct or Decision Feedback•Comb Type
•LS or LMS estimation at pilot frequencies•Interpolation Techniques
•Linear•Second Order•Low Pass•Spline•Time Domain
•Modulation •BPSK,QPSK,16QAM,DQPSK
•Results:•Comb Type performs better since it tracks fast fading channels.•Low-pass interpolation performs better since mean square error between the interpolated points and their ideal values is minimized.