Title :
A method for optimizing matrix valued functions and its applications to capacity of MIMO systems
Author_Institution :
Dept. of Electr. & Electron. Eng., Bahcesehir Univ., Istanbul, Turkey
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;
Conference_Titel :
Telecommunications Forum (TELFOR), 2011 19th
Conference_Location :
Belgrade
Print_ISBN :
978-1-4577-1499-3
DOI :
10.1109/TELFOR.2011.6143546
