Computationally tractable model of energy detection performance over slow fading channels

Hongjian Sun, David I. Laurenson, Cheng Xiang Wang

Research output: Contribution to journalArticlepeer-review

85 Citations (Scopus)


Energy detection (ED) has been widely used for detecting unknown deterministic signals in many wireless communication applications, e.g., cognitive radio, and ultra-wideband (UWB). However, the performance analysis of ED over slow fading channels is cumbersome, because it is difficult to derive closed-form expressions for the average probability of detection involving the generalised Marcum Q-function and the log-normal distribution. In this letter, we derive an approximation of the average probability of detection over a slow fading channel by replacing the log-normal distribution with a Wald distribution. In addition, we analyze the detection performance of the ED using a square-law combining scheme over multiple independent and identically distributed slow fading channels. © 2006 IEEE.

Original languageEnglish
Article number5581186
Pages (from-to)924-926
Number of pages3
JournalIEEE Communications Letters
Issue number10
Publication statusPublished - Oct 2010


  • cognitive radio
  • Energy detection
  • slow fading
  • UWB
  • Wald distribution


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