DocumentCode
2001198
Title
On the log determinant of noncentral Wishart matrices
Author
Kim, Young-Han ; Lapidoth, Amos
Author_Institution
Inf. Syst. Lab., Stanford Univ., CA, USA
fYear
2003
fDate
29 June-4 July 2003
Firstpage
54
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory, 2003. Proceedings. IEEE International Symposium on
Print_ISBN
0-7803-7728-1
Type
conf
DOI
10.1109/ISIT.2003.1228068
Filename
1228068
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