Bounds for multihop relayed communications in Nakagami-m fading

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

Research output: Contribution to journalArticlepeer-review

329 Citations (Scopus)


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
Issue number1
Publication statusPublished - Jan 1 2006


  • 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

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