Error exponents for Rayleigh fading product MIMO channels

Jiang Xue*, Md Zahurul I Sarkar, T. Ratnarajah, Caijun Zhong

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Along with the channel capacity, the error exponent is one of the most important information theoretic measures of reliability, as it sets ultimate bounds on the performance of communication systems employing codes of finite complexity. In this paper, we derive the closed-form expressions for the Gallager's random coding and expurgated error exponents for Rayleigh fading product multiple-input multiple-output (MIMO) channels under the assumption that there is no channel-state information (CSI) at the transmitter and perfect CSI at the receiver. From the derived analytical expressions, we get insight into an elementary tradeoff between the communication reliability and information rate for the Rayleigh fading product MIMO channels. Moreover, we can easily compute the necessary codeword length without the extensive Monte-carlo simulation to achieve predefined error probability at a given rate below the channel capacity. In addition, we derive the exact closed-form expressions for the ergodic capacity and cutoff rate based on easily computable Meijer G-function. The closed-form expressions for the error exponents, ergodic capacity and cutoff rate have also been derived for Rayleigh fading keyhole MIMO channels as the example of special case.

Original languageEnglish
Title of host publicationIEEE International Symposium on Information Theory - Proceedings
Pages2166-2170
Number of pages5
DOIs
Publication statusPublished - 22 Oct 2012
Event2012 IEEE International Symposium on Information Theory, ISIT 2012 - Cambridge, MA, United Kingdom
Duration: 1 Jul 20126 Jul 2012

Conference

Conference2012 IEEE International Symposium on Information Theory, ISIT 2012
Country/TerritoryUnited Kingdom
CityCambridge, MA
Period1/07/126/07/12

Keywords

  • Cutoff rate
  • ergodic capacity
  • error exponent
  • Rayleigh fading product MIMO channels

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