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A Moment-Generating Function (MGF) Derivative-Based Unified Analysis of Incoherent Diversity Reception of M-ary Orthogonal Signals over Independent and Correlated Fading Channels

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Abstract

Exact, closed-form, error probability expressions for noncoherent M-ary frequency-shift-keying (MFSK) systems that employ postdetection equal-gain diversity over Rayleigh, Rician, and Nakagami-m channels are derived using a Laplace derivative formula. Both independent and generically correlated fading cases are considered. For independent fading, closed-form solutions are also derived for both Nakagami-q fading (either with identical or dissimilar fading statistics) and mixed fading cases. Previous results are shown to be specific instances of our general expressions. In addition, a concise, derivative formula is derived for calculating the bit error rate of square-law detected multichannel binary differential phase-shift-keying (DPSK) signals. All of these expressions are applicable in many cases of practical interest and provide accurate predictions of the performance of both binary and M-ary orthogonal signaling over generalized fading channels with arbitrary parameters.

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Authors and Affiliations

  1. Bradley Department of Electrical and Computer Engineering, Virginia Polytechnic Institute, USA

    A. Annamalai

  2. Mobile and Portable Radio Research Group, State University, 432 Durham Hall (0350), Blacksburg, VA, 24061

    A. Annamalai

  3. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, Canada

    C. Tellambura

Authors
  1. A. Annamalai
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  2. C. Tellambura
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Annamalai, A., Tellambura, C. A Moment-Generating Function (MGF) Derivative-Based Unified Analysis of Incoherent Diversity Reception of M-ary Orthogonal Signals over Independent and Correlated Fading Channels. International Journal of Wireless Information Networks 10, 41–56 (2003). https://doi.org/10.1023/A:1023418908192

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