On the performance of peaky capacity-achieving signaling on multipath fading channels

Desmond S. Lun, Muriel Médard, Ibrahim C. Abou-Faycal

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We analyze the error probability of peaky signaling on bandlimited multipath fading channels, the signaling strategy that achieves the capacity of such channels in the limit of infinite bandwidth under an average power constraint. We first derive an upper bound for general fading, then specialize to the case of Rayleigh fading, where we obtain upper and lower bounds that are exponentially tight and, therefore, yield the reliability function. These bounds constitute a strong coding theorem for the channel, as they not only delimit the range of achievable rates, but also give us a relationship among the error probability, data rate, bandwidth, peakiness, and fading parameters, such as the coherence time. They can be used to compare peaky signaling systems to other large bandwidth systems over fading channels, such as ultra-wideband radio and wideband code-division multiple access. We find that the error probability decreases slowly with the bandwidth W; under Rayleigh fading, the error probability varies roughly as W , where α > 0. With parameters typical of indoor wireless situations, we study the behavior of the upper and lower bounds on the error probability and the reliability function numerically.

Original languageEnglish (US)
Pages (from-to)931-938
Number of pages8
JournalIEEE Transactions on Communications
Volume52
Issue number6
DOIs
StatePublished - Jun 1 2004
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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