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Higher Order Capacity Statistics of Diversity Receivers

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Abstract

A statistical analysis for the channel capacity (CC) for several diversity receivers under optimal rate adaptation with constant transmit power is provided. Independent but not necessarily identically distributed Nakagami-m fading channels are considered. Specifically, the moments of the CC at the output of selection combining, maximal-ratio combining, and switched and stay combining are obtained, assuming integer-order fading parameters, while for the Rayleigh model the moments of the CC at the output of equal-gain combining and generalized-selection combining are derived in closed form. Using these formulas, a new performance criterion, namely as fading figure (FF) as well as the variance, skewness, and kurtosis, are studied. Our findings show that the FF improves with an increase of the signal-to-noise ratio (SNR), the fading parameters, and/or the diversity order. Also, unlike to the variance of the error probability, the variance of the CC is a monotonic function of the average input SNR.

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Authors and Affiliations

  1. Department of Science and Technology of Telecommunications, University of Peloponnese, End of Karaiskaki Str., 22100, Tripoli, Greece

    Nikos C. Sagias

  2. Laboratory of Wireless Communications, Institute of Informatics and Telecommunications, National Centre for Scientific Research–Demokritos, Agia Paraskevi, 15310, Athens, Greece

    Fotis I. Lazarakis, Antonis A. Alexandridis & Kostas P. Dangakis

  3. Department of Electronics, Computers, Telecommunications, and Control, Physics Faculty, University of Athens, Panepistimiopolis, Zografou, 15784, Athens, Greece

    George S. Tombras

Authors
  1. Nikos C. Sagias
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  2. Fotis I. Lazarakis
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  3. Antonis A. Alexandridis
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  4. Kostas P. Dangakis
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  5. George S. Tombras
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Correspondence to Nikos C. Sagias.

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Sagias, N.C., Lazarakis, F.I., Alexandridis, A.A. et al. Higher Order Capacity Statistics of Diversity Receivers. Wireless Pers Commun 56, 649–668 (2011). https://doi.org/10.1007/s11277-009-9837-6

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  • DOI: https://doi.org/10.1007/s11277-009-9837-6

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