Average error rate of NCFSK with multi-branch post-detection switched diversity

Hong Chuan Yang*, Mohamed Slim Alouini, Marvin K. Simon

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We investigate the performance of non-coherent frequency shift keying (NCFSK) with multi-branch post-detection switched diversity systems. After an appropriate statistical description of the square-law detector output, we derive generic formulas for the symbol/bit error probability of NCFSK for both switch and stay combining (SSC) and switch and examine combining (SEC) schemes. We show that while the SSC scheme does not benefit from more than two diversity paths when the paths are identically distributed, the error performance of SEC improves as the number of antenna paths increases. We consider two detection schemes for NCFSK, one for M-ary FSK and another limited to only BFSK. We show that the second scheme leads to lower error probability performance when both are used to detect binary signals. The mathematical formalism is illustrated with a number of selected numerical examples.

Original languageEnglish (US)
Pages (from-to)351-367
Number of pages17
JournalWireless Communications and Mobile Computing
Issue number4
StatePublished - Jun 2004
Externally publishedYes

Bibliographical note

Funding Information:
The work was performed with the financial support of applied scientific research by the Ministry of Education of the Russian Federation in the framework of the Federal Target Program “Research and development on priority directions of scientific-technological complex of Russia for 2014-2020” under the grant agreement No. 14.577.21.0205 of October 27, 2015. Unique identifier PNIER RFMEF157715X0205.


  • Diversity techniques
  • Error rate analysis
  • Frequency shift keying
  • Post-detection combining
  • Switched diversity

ASJC Scopus subject areas

  • Information Systems
  • Computer Networks and Communications
  • Electrical and Electronic Engineering


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