Statistical Theorems Involving the Complex Multivariate Gaussian and Wishart Densities

Abstract

The complex multivariate Gaussian and Wishart densities are often encountered in the analysis of statistical signal processing algorithms in frequency domain array processing. The derivation of the probability density function of forms involving complex Gaussian random vectors and complex Wishart matrices may be simplified by the use of standard theorems found in multivariate statistics for real Gaussian random vectors and real Wishart matrices. This memorandum contains the extensions to the complex case of a selection of these theorems.

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Document Details

Document Type
Technical Report
Publication Date
Sep 13, 1993
Accession Number
ADA640612

Entities

People

  • Douglas A. Abraham

Organizations

  • Naval Undersea Warfare Center

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Data Science
  • Eigenvalues
  • Equations
  • Frequency Domain
  • Information Processing
  • Information Science
  • Matrix Theory
  • Probability
  • Probability Density Functions
  • Random Variables
  • Signal Processing
  • Standards
  • Statistics
  • Theorems
  • Undersea Warfare
  • Wishart Matrices

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Analytical Mechanics
  • Mathematical Modeling and Probability Theory.