DocumentCode
3214955
Title
A method for optimizing matrix valued functions and its applications to capacity of MIMO systems
Author
Soysal, Alkan
Author_Institution
Dept. of Electr. & Electron. Eng., Bahcesehir Univ., Istanbul, Turkey
fYear
2011
fDate
22-24 Nov. 2011
Firstpage
285
Lastpage
288
Abstract
We present a method, that is based on differential matrix calculus, for optimizing matrix valued functions. This method can be applied to MIMO capacity optimization problems where a transmit covariance matrix has to be chosen optimally. We first state the necessary mathematical preliminaries regarding matrix differential calculus. Then, we apply the method to some of the already solved MIMO systems. This gives an insight on how the method works. Finally, we apply the method to some unsolved MIMO systems and find their optimum solutions.
Keywords
MIMO communication; channel capacity; covariance matrices; optimisation; MIMO capacity optimization problem; MIMO system capacity; covariance matrix; differential matrix calculus; mathematical preliminary; matrix valued function optimization; Calculus; Covariance matrix; Eigenvalues and eigenfunctions; MIMO; Receivers; Relays; Transmitters;
fLanguage
English
Publisher
ieee
Conference_Titel
Telecommunications Forum (TELFOR), 2011 19th
Conference_Location
Belgrade
Print_ISBN
978-1-4577-1499-3
Type
conf
DOI
10.1109/TELFOR.2011.6143546
Filename
6143546
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