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

Pauli V, Schober R, Lampe L (2008)

Publication Type: Journal article

Publication year: 2008

Journal

IEEE Transactions on Communications Institute of Electrical and Electronics Engineers (IEEE)

Book Volume: 56

Pages Range: 1972-1981

Journal Issue: 11

DOI: 10.1109/TCOMM.2008.060692

Abstract

In this paper, a unified framework for the analysis of differential detection (DD) schemes in time-variant multiple-input multiple-utput 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-quared-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 → ∞ suffers only from an SNR loss of (1 - 2Bh,eff T) compared to CD, whereas DFDD suffers from a diversity loss of (1 - 2Bh,effT). © 2008 IEEE.

Authors with CRIS profile

Robert Schober

Involved external institutions

University of British Columbia CA Canada (CA)

How to cite

APA:

Pauli, V., Schober, R., & Lampe, L. (2008). A unified performance analysis framework for differential detection in MIMO Rayleigh fading channels. IEEE Transactions on Communications, 56(11), 1972-1981. https://doi.org/10.1109/TCOMM.2008.060692

MLA:

Pauli, Volker, Robert Schober, and Lutz Lampe. "A unified performance analysis framework for differential detection in MIMO Rayleigh fading channels." IEEE Transactions on Communications 56.11 (2008): 1972-1981.

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