Series approximations for Rayleigh distributions of arbitrary dimensions and covariance matrices

Research output: Contribution to journalArticlepeer-review

  • Authors:
  • Martin Wiegand
  • Saraleesan Nadarajah


The multivariate Rayleigh distribution is of crucial importance to many applied problems of engineering, such as in the analysis of multi-antenna wireless systems. Due to the lack of a generalised closed form of the distribution, the dependence on effective approximation methods for evaluation has created numerous numerical approaches with considerable restrictions in both dimensionality, as well as the structure of covariance matrices. In this paper we extend a previously introduced method [1] without either of these limitations. We then compare the performance of the new algorithms to recent integration methods of fixed dimension, presented by Beaulie and Zhang [2] and highlight the advantages of the new method.

Bibliographical metadata

Original languageEnglish
Pages (from-to)20-29
Number of pages10
JournalSignal Processing
Early online date26 Jun 2019
Publication statusPublished - Dec 2019