DocumentCode
463858
Title
Unified Theory of Complex-Valued Matrix Differentiation
Author
Hjorungnes, A. ; Gesbert, David ; Palomar, Daniel P.
Author_Institution
UniK-Graduate Center Univ., Oslo Univ., Norway
Volume
3
fYear
2007
fDate
15-20 April 2007
Abstract
A systematic theory is introduced for finding the derivatives of complex-valued matrix functions with respect to a complex-valued matrix variable and the complex conjugate of this variable. In the framework introduced, the differential of the complex-valued matrix function is used to identify the derivatives of this function. Matrix differentiation results are developed for use in signal processing and communications applications. Several other examples are given.
Keywords
differentiation; matrix algebra; signal processing; telecommunication; communications; complex conjugate; complex-valued matrix differentiation unified theory; complex-valued matrix function derivatives; signal processing; Covariance matrix; Design engineering; Design optimization; Equalizers; Filters; MIMO; Mobile communication; Optimization methods; Signal processing; Vectors; Adaptive filters; Gradient methods; Linear algebra; Optimization methods;
fLanguage
English
Publisher
ieee
Conference_Titel
Acoustics, Speech and Signal Processing, 2007. ICASSP 2007. IEEE International Conference on
Conference_Location
Honolulu, HI
ISSN
1520-6149
Print_ISBN
1-4244-0727-3
Type
conf
DOI
10.1109/ICASSP.2007.366543
Filename
4217717
Link To Document