Title :
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
fDate :
10/1/2008 12:00:00 AM
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;
Journal_Title :
Communications Letters, IEEE
Conference_Location :
10/1/2008 12:00:00 AM
DOI :
10.1109/LCOMM.2008.081025
