A unified performance analysis framework for differential detection in MIMO Rayleigh fading channels

TitleA unified performance analysis framework for differential detection in MIMO Rayleigh fading channels
Publication TypeJournal Article
Year of Publication2008
AuthorsPauli, V., R. Schober, and L. Lampe
JournalCommunications, IEEE Transactions on
Pagination1972 -1981
Date Publishednov.
Keywordsblock DSTM, coherent detection, decision-feedback DD, differential detection, differential phase shift keying, differential phase-shift keying, effective signal- to-noise ratio, error statistics, Gaussian processes, Gaussian random variables, general quadratic forms, interpolation, least mean squares methods, MIMO communication, MIMO Rayleigh fading channels, minimum-mean-squared-error interpolation, MMSE interpolation, multiple-symbol DD, pairwise error probabilities, Rayleigh channels, time-variant fading, time-variant multiple-input multiple-output channels, unified performance analysis framework, unitary differential space-time modulation

In this paper, a unified framework for the analysis of differential detection (DD) schemes in time-variant multiple- input multiple-output Rayleigh fading channels is provided. The present results are very general in that they apply to transmission with differential phase-shift keying, unitary differential space- time modulation (DSTM), and block DSTM and reception with conventional DD (CDD), multiple-symbol DD (MSDD), decision- feedback DD (DFDD), and (differentially) coherent detection (CD). New result for general quadratic forms of Gaussian random variables are derived which allows us to obtain elegant closed-form expressions for the pairwise error probabilities (PEPs) of the dominant error events of the considered detectors. Furthermore, it is shown that a unified treatment of all considered detectors is possible with a properly defined effective signal- to-noise ratio (ESNR) and a useful connection between MSDD and minimum-mean-squared-error (MMSE) interpolation is established. Interesting novel results obtained from this analysis include: (i) DSTM constellations designed for CDD and CD are also optimum for MSDD and DFDD; (ii) the error floor entailed by MSDD and DFDD in time-variant fading decreases exponentially with the observation window size N; and (iii) in time-variant fading with effective normalized fading bandwidth Bh,effT MSDD with N rarr infin suffers only from an SNR loss of (1-2Bh,effT) compared to CD, whereas DFDD suffers from a diversity loss of (1-2Bh,effT).


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