Abstract
Expectation-maximization (EM) based iterative algorithms are investigated in order to estimate the impulse response of a frequency-selective multipath channel in a coded OFDM system. Two ways of choosing the EM complete data are compared: a complete data built from observations and transmitted symbols (CL-EM) and a complete data chosen by decomposing noise and observation components (NCD-EM). Both CL-EM and NCD-EM algorithms are derived for a coded OFDM system. The rate of convergence of both EM algorithms is theoretically determined. It is found that the rate of convergence of CL-EM is independent from the number of channel taps at high signal-to-noise ratio (SNR), while that of NCD-EM varies with the number of taps. It is shown that CL-EM converges in a few iterations. Furthermore, considering the complexity per iteration, CL-EM has a lower complexity than its counterpart. We also establish a Cramer-Rao bound (CRB) for coded OFDM transmission. Simulation results show that CL-EM has a good performance-complexity trade-off and it achieves the CRB.
| Original language | English |
|---|---|
| Article number | 5989892 |
| Pages (from-to) | 3185-3195 |
| Number of pages | 11 |
| Journal | IEEE Transactions on Wireless Communications |
| Volume | 10 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 1 Oct 2011 |
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Keywords
- channel estimation
- Cramer-Rao bound
- expectation maximization
- Orthogonal frequency-division multiplexing
- rate of convergence
ASJC Scopus subject areas
- Computer Science Applications
- Applied Mathematics
- Electrical and Electronic Engineering
Cite this
EM-based channel estimation for coded multi-carrier transmissions. / Liu, Yang; Brunel, Loïc; Boutros, Joseph.
In: IEEE Transactions on Wireless Communications, Vol. 10, No. 10, 5989892, 01.10.2011, p. 3185-3195.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - EM-based channel estimation for coded multi-carrier transmissions
AU - Liu, Yang
AU - Brunel, Loïc
AU - Boutros, Joseph
PY - 2011/10/1
Y1 - 2011/10/1
N2 - Expectation-maximization (EM) based iterative algorithms are investigated in order to estimate the impulse response of a frequency-selective multipath channel in a coded OFDM system. Two ways of choosing the EM complete data are compared: a complete data built from observations and transmitted symbols (CL-EM) and a complete data chosen by decomposing noise and observation components (NCD-EM). Both CL-EM and NCD-EM algorithms are derived for a coded OFDM system. The rate of convergence of both EM algorithms is theoretically determined. It is found that the rate of convergence of CL-EM is independent from the number of channel taps at high signal-to-noise ratio (SNR), while that of NCD-EM varies with the number of taps. It is shown that CL-EM converges in a few iterations. Furthermore, considering the complexity per iteration, CL-EM has a lower complexity than its counterpart. We also establish a Cramer-Rao bound (CRB) for coded OFDM transmission. Simulation results show that CL-EM has a good performance-complexity trade-off and it achieves the CRB.
AB - Expectation-maximization (EM) based iterative algorithms are investigated in order to estimate the impulse response of a frequency-selective multipath channel in a coded OFDM system. Two ways of choosing the EM complete data are compared: a complete data built from observations and transmitted symbols (CL-EM) and a complete data chosen by decomposing noise and observation components (NCD-EM). Both CL-EM and NCD-EM algorithms are derived for a coded OFDM system. The rate of convergence of both EM algorithms is theoretically determined. It is found that the rate of convergence of CL-EM is independent from the number of channel taps at high signal-to-noise ratio (SNR), while that of NCD-EM varies with the number of taps. It is shown that CL-EM converges in a few iterations. Furthermore, considering the complexity per iteration, CL-EM has a lower complexity than its counterpart. We also establish a Cramer-Rao bound (CRB) for coded OFDM transmission. Simulation results show that CL-EM has a good performance-complexity trade-off and it achieves the CRB.
KW - channel estimation
KW - Cramer-Rao bound
KW - expectation maximization
KW - Orthogonal frequency-division multiplexing
KW - rate of convergence
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U2 - 10.1109/TWC.2011.080311.100249
DO - 10.1109/TWC.2011.080311.100249
M3 - Article
VL - 10
SP - 3185
EP - 3195
JO - IEEE Transactions on Wireless Communications
JF - IEEE Transactions on Wireless Communications
SN - 1536-1276
IS - 10
M1 - 5989892
ER -