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Diagonal distribution of a complex non-central Wishart matrix: A new trivariate non-central chi-squared density

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  • Dharmawansa, Prathapasinghe
  • McKay, Matthew R.

Abstract

This paper derives the joint density of a particular trivariate non-central [chi]2 distribution corresponding to the diagonal elements of a 3x3 complex non-central Wishart matrix. This distribution is important for a number of practical statistical signal processing applications, including synthetic aperture radar, extra-solar planet detection, and multi-antenna wireless communications. The density expression is in the form of an infinite series representation which converges rapidly and is easy to compute. The joint density of the diagonal elements of a 2x2 complex non-central Wishart matrix is also derived by simple reduction of the trivariate result.

Suggested Citation

  • Dharmawansa, Prathapasinghe & McKay, Matthew R., 2009. "Diagonal distribution of a complex non-central Wishart matrix: A new trivariate non-central chi-squared density," Journal of Multivariate Analysis, Elsevier, vol. 100(4), pages 561-580, April.
    • Handle: RePEc:eee:jmvana:v:100:y:2009:i:4:p:561-580
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    References listed on IDEAS

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    1. Royen, T., 1991. "Expansions for the multivariate chi-square distribution," Journal of Multivariate Analysis, Elsevier, vol. 38(2), pages 213-232, August.
    2. Hagedorn, M. & Smith, P.J. & Bones, P.J. & Millane, R.P. & Pairman, D., 2006. "A trivariate chi-squared distribution derived from the complex Wishart distribution," Journal of Multivariate Analysis, Elsevier, vol. 97(3), pages 655-674, March.
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