Abstract
In this paper, the densities of non-central quadratic forms on complex random matrices and their joint eigenvalue densities are derived for applications to information theory. These densities are represented by complex hypergeometric functions of matrix arguments, which can be expressed in terms of complex zonal polynomials and invariant polynomials. One of the special cases of studied quadratic forms is complex non-central Wishart matrices. We also show that the joint eigenvalue density of a complex non-central Wishart matrix can be expressed by an easily computable bounded density function. The derived densities are used to evaluate the capacity of multiple-input multiple-output (MIMO) Rician distributed channels
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
