Bounds for multihop relayed communications in Nakagami-m fading

George K. Karagiannidis, Theodore A. Tsiftsis, Ranjan K. Mallik

Research output: Contribution to journalArticle

325 Citations (Scopus)

Abstract

We present closed-form lower bounds for the performance of multihop transmissions with nonregenerative relays over not necessarily identically distributed Nakagami-m fading channels. The end-to-end signal-to-noise ratio is formulated and upper bounded by using an inequality between harmonic and geometric means of positive random variables (RVs). Novel closed-form expressions are derived for the moment generating function, the probability density function, and the cumulative distribution function of the product of rational powers of statistically independent Gamma RVs. These statistical results are then applied to studying the outage probability and the average bit-error probability for phase- and frequency-modulated signaling. Numerical examples compare analytical and simulation results, verifying the tightness of the proposed bounds.

Original languageEnglish
Pages (from-to)18-22
Number of pages5
JournalIEEE Transactions on Communications
Volume54
Issue number1
DOIs
Publication statusPublished - Jan 2006
Externally publishedYes

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Random variables
Communication
Outages
Fading channels
Probability density function
Distribution functions
Signal to noise ratio
Error probability

Keywords

  • Average bit-error probability (ABEP)
  • Gamma random variables (RVs)
  • Multihop relayed communications
  • Nakagami-m fading
  • Outage probability

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Networks and Communications

Cite this

Bounds for multihop relayed communications in Nakagami-m fading. / Karagiannidis, George K.; Tsiftsis, Theodore A.; Mallik, Ranjan K.

In: IEEE Transactions on Communications, Vol. 54, No. 1, 01.2006, p. 18-22.

Research output: Contribution to journalArticle

Karagiannidis, George K. ; Tsiftsis, Theodore A. ; Mallik, Ranjan K. / Bounds for multihop relayed communications in Nakagami-m fading. In: IEEE Transactions on Communications. 2006 ; Vol. 54, No. 1. pp. 18-22.
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