Error exponents analysis for dual-hop η-μ Fading channel with amplify-and-forward relaying

Jiang Xue, Yunhan Zhang, Md Zahurul I Sarkar, T. Ratnarajah

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

Abstract

In this paper, we investigate the error exponents of dual-hop amplify-and-forward (AF) system for η-μ fading channel. Channel capacity of a wireless communication system gives only the knowledge of maximum achievable rate. Therefore, it is necessary to analyse the decoding complexity of the code that achieves a certain level of reliable communication. In fact, a measure of reliability called error exponent exists which sets ultimate bounds on the performance of communication systems employing codes of finite complexity. Assuming the receiver has full channel state information (CSI) and the transmitter has no CSI, we derive the novel exact expressions of Random coding error exponent (RCEE) and expurgated error exponent which provide insight into an elementary tradeoff between the communication reliability and information rate. Moreover, the necessary codeword length can be computed easily without the extensive Monte-Carlo simulation to achieve predefined error probability at a given rate. Meanwhile, simplified approximate expressions in the high signal-to-noise ratio (SNR) regime are also obtained. In addition, we derive the exact closed-form expressions for the ergodic capacity and cutoff rate.

Original languageEnglish
Title of host publicationIEEE Wireless Communications and Networking Conference, WCNC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1105-1109
Number of pages5
ISBN (Print)9781479930838
DOIs
Publication statusPublished - 1 Jan 2014
Event2014 IEEE Wireless Communications and Networking Conference, WCNC 2014 - Istanbul, United Kingdom
Duration: 6 Apr 20149 Apr 2014

Conference

Conference2014 IEEE Wireless Communications and Networking Conference, WCNC 2014
CountryUnited Kingdom
CityIstanbul
Period6/04/149/04/14

Keywords

  • Cutoff rate
  • expurgated error exponent
  • random coding error exponent
  • η-μ fading

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