Title :
On the log determinant of noncentral Wishart matrices
Author :
Kim, Young-Han ; Lapidoth, Amos
Author_Institution :
Inf. Syst. Lab., Stanford Univ., CA, USA
fDate :
29 June-4 July 2003
Abstract :
In this paper, we show that the expected log determinant of a complex noncentral Wishart matrix is an increasing function of the noncentrality parameter. This demonstrates that the mutual information corresponding to an isotropically distributed Gaussian input to a multiantenna Ricean fading channel is nondecreasing in the line-of-sight component.
Keywords :
Gaussian distribution; Hadamard matrices; Rician channels; antenna arrays; channel capacity; log normal distribution; Gaussian distribution; Ricean fading channel; line-of-sight component; log determinant; multiantenna; noncentral Wishart matrix; noncentrality parameter; Channel capacity; Eigenvalues and eigenfunctions; Fading; Information analysis; Information systems; Matrix decomposition; Mutual information; Receiving antennas; Symmetric matrices; Transmitting antennas;
Conference_Titel :
Information Theory, 2003. Proceedings. IEEE International Symposium on
Print_ISBN :
0-7803-7728-1
DOI :
10.1109/ISIT.2003.1228068
