000 02442nam a2200289 a 4500
001 vtls000060729
003 KUKTEM
005 20251117144501.0
008 120531t2011 enka f b 001 0 eng d
020 _a9780521192644 (hardback)
020 _a0521192641 (hardback)
039 9 _a201208101455
_bfauzi
_y201205311129
_zsafura
040 _aUMP
090 _aTA347.D4 H56 2011
100 1 _aHjørungnes, Are
245 1 0 _aComplex-valued matrix derivatives :
_bwith applications in signal processing and communications /
_cAre Hjørungnes
260 _aCambridge :
_bCambridge University Press,
_cc2011
300 _axxi, 247 p. :
_bill. ;
_c26 cm.
504 _aIncludes bibliographical references and index
505 8 _aMachine generated contents note: Preface; Nomenclature; List of abbreviations; 1. Introduction; 2. Background material; 3. Theory of complex-valued matrix derivatives; 4. Development of complex-valued derivative formulas; 5. Complex Hessian matrices for scalar, vector, and matrix functions; 6. Generalized complex-valued matrix derivatives; 7. Applications in signal processing and communications; References; Index
520 _a"In this complete introduction to the theory of finding derivatives of scalar-, vector- and matrix-valued functions with respect to complex matrix variables, Hjørungnes describes an essential set of mathematical tools for solving research problems where unknown parameters are contained in complex-valued matrices. The first book examining complex-valued matrix derivatives from an engineering perspective, it uses numerous practical examples from signal processing and communications to demonstrate how these tools can be used to analyze and optimize the performance of engineering systems. Covering un-patterned and certain patterned matrices, this self-contained and easy-to-follow reference deals with applications in a range of areas including wireless communications, control theory, adaptive filtering, resource management and digital signal processing. Over 80 end-of-chapter exercises are provided, with a complete solutions manual available online"-- Provided by publisher
650 0 _aMatrix derivatives
650 0 _aSystems engineering
650 0 _aSignal processing
_xMathematical models
650 0 _aTelecommunication
_xMathematical models
999 _aVIRTUA40
_c37243
_d37249
999 _aVTLSSORT0080*0200*0201*0400*0900*1000*2450*2600*3000*5040*5050*5200*6500*6501*6502*6503*9992