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Quasi-maximum-likelihood multiple-symbol differential detection for time-varying Rayleigh fading channel

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4 Author(s)
Ma, Z. ; Provincial Key Lab. of Inf. Coding & Transm., Southwest Jiaotong Univ., Chengdu, China ; Fan, P. ; Larsson, E.G. ; Honary, B.

The maximum-likelihood multiple-symbol differential detector (ML-MSDD) has better bit-error-rate performance than many other detectors for differential modulation. Unfortunately, the computational complexity of ML-MSDD quickly becomes prohibitive as the observation window size grows. While low-complexity MSDD algorithms for the time-invariant Rayleigh fading channel have been considered before, there is a need for low-complexity MSDD algorithms for general time-varying Rayleigh fading channels. A polynomial-time complexity approach called semi-definite relaxation (SDR) is employed to achieve differential detection with near maximum-likelihood (ML) performance. The proposed SDR quasi-maximum-likelihood (QML) multiple-symbol differential detection (SDR-QML-MSDD) is efficient in that its complexity is polynomial in the observation window size, even in the worst case, while it exhibits almost the same performance as ML-MSDD does.

Published in:

Electronics Letters  (Volume:45 ,  Issue: 22 )