On moments of complex Wishart and complex inverse Wishart distributed matrices

This paper addresses the calculation of moments of complex Wishart and complex inverse Wishart distributed random matrices. Complex Wishart and complex inverse Wishart distributed random matrices are used in applications like radar, sonar, or seismology in order to model the statistical properties o...

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description This paper addresses the calculation of moments of complex Wishart and complex inverse Wishart distributed random matrices. Complex Wishart and complex inverse Wishart distributed random matrices are used in applications like radar, sonar, or seismology in order to model the statistical properties of complex sample covariance matrices and complex inverse sample covariance matrices, respectively. The moments of these random matrices are often needed e.g. in studies of asymptotic properties of parameter estimates. This paper gives a derivation of the probability density function of complex inverse Wishart distributed random matrices. Furthermore, strategies are outlined for the calculation of the moments of complex Wishart and complex inverse Wishart distributed matrices.
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subjects Applied sciences
Array signal processing
Covariance matrix
Exact sciences and technology
Information, signal and communications theory
Mathematical methods
Position measurement
Probability density function
Radar applications
Radar signal processing
Seismic measurements
Sensor arrays
Signal processing
Sonar applications
Telecommunications and information theory
title On moments of complex Wishart and complex inverse Wishart distributed matrices
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