Polynomial PDF of the Smallest Eigenvalue of Complex Central Wishart Matrix with Correlation at the Side with the Smallest Number of Antennas

Author

Zhang, Haochuan ; Niu, Fangfang ; Yang, Hongwen ; Yang, Dacheng

Author_Institution

Wireless Theor. & Technol. Lab., Beijing Univ. of Posts & Telecommun., Beijing

Volume

12

Issue

10

fYear

2008

fDate

10/1/2008 12:00:00 AM

Firstpage

749

Lastpage

751

Abstract

In the literature, the marginal probability density function (pdf) of the smallest eigenvalue of Wishart matrix has been known in the form of determinants having elements with special functions. In this letter, a polynomial expression is derived on the pdf of the smallest eigenvalue of complex central Wishart matrix with correlation at the side with the smallest number of antennas.

Keywords

MIMO communication; antenna arrays; eigenvalues and eigenfunctions; matrix algebra; probability; MIMO channel; complex central Wishart matrix; eigenvalue matrix; polynomial marginal probability density function; receive antennas; transmit antennas; Eigenvalues and eigenfunctions; Euclidean distance; Fading; Gaussian channels; MIMO; Performance analysis; Polynomials; Probability density function; Receiving antennas; Telecommunication computing; Wishart matrix; distribution; smallest eigenvalue;

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

Conference_Location

10/1/2008 12:00:00 AM

ISSN

1089-7798

Type

jour

DOI

10.1109/LCOMM.2008.081025

Filename

4640942