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Problemy Peredachi Informatsii, 2015, Volume 51, Issue 1, Pages 3–22
(Mi ppi2157)
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This article is cited in 4 scientific papers (total in 4 papers)
Information Theory
Error exponents for multi-keyhole MIMO channels
J. Xuea, T. Ratnarajaha, C. Zhongbc a Institute for Digital Communications, School of Engineering, The University of Edinburgh, Edinburgh, UK
b National Mobile Communications Research Laboratory, Southeast University, Nanjing, China
c Institute of Information and Communication Engineering, Zhejiang University, Zhejiang, China
Abstract:
Along with the channel capacity, the error exponent is one of the most important information-theoretic measures of reliability, because it sets ultimate bounds on the performance of communication systems employing codes of finite complexity. In this paper, we derive closed-form expressions for the Gallager random coding and expurgated error exponents for multi-keyhole multiple-input multiple-output (MIMO) channels, which provide insights into a fundamental tradeoff between the communication reliability and information rate. We investigate the effect of keyholes on the error exponents and cutoff rate. Moreover, without an extensive Monte-Carlo simulation we can easily compute the codeword length necessary to achieve a predefined error probability at a given rate, which quantifies the effects of the number of antennas, channel coherence time, and the number of keyholes. In addition, we derive exact closed-form expressions for the ergodic capacity and cutoff rate based on the easily computable Meijer $G$-function. Finally, we extend our study to Rayleigh-product MIMO channels and keyhole MIMO channels.
Received: 27.01.2014 Revised: 29.11.2014
Citation:
J. Xue, T. Ratnarajah, C. Zhong, “Error exponents for multi-keyhole MIMO channels”, Probl. Peredachi Inf., 51:1 (2015), 3–22; Problems Inform. Transmission, 51:1 (2015), 1–19
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https://www.mathnet.ru/eng/ppi2157 https://www.mathnet.ru/eng/ppi/v51/i1/p3
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Abstract page: | 310 | Full-text PDF : | 59 | References: | 45 | First page: | 11 |
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