A unified approach to the probability of error for noncoherent and differentially coherent modulations over generalized fading channels

Marvin K. Simon*, Mohamed Slim Alouini

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

167 Scopus citations

Abstract

We present a unified approach to determine the exact bit error rate (BER) of noncoherent and differentially coherent modulations with single and multichannel reception over additive white Gaussian noise and generalized fading channels. The multichannel reception results assume independent fading in the channels and are applicable to systems that employ postdetection equal gain combining. Our approach relies on an alternate form of the Marcum Q-function and leads to expressions of the BER involving a single finite-range integral which can be readily evaluated numerically. Aside from unifying the past results, the new approach also allows for a more general solution to the problem in that it includes many situations that in the past defied a simple solution. The best example of this occurs for multichannel reception where the fading on each channel need not be identically distributed nor even distributed according to the same family of distributions.

Original languageEnglish (US)
Pages (from-to)1625-1638
Number of pages14
JournalIEEE Transactions on Communications
Volume46
Issue number12
DOIs
StatePublished - 1998

Keywords

  • Multichannel reception
  • Nakagami fading
  • Noncoherent and differentially coherent communications
  • Postdetection diversity

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Fingerprint

Dive into the research topics of 'A unified approach to the probability of error for noncoherent and differentially coherent modulations over generalized fading channels'. Together they form a unique fingerprint.

Cite this