LEADER 03463nam 22006972 450 001 9910459709303321 005 20151005020623.0 010 $a1-107-21406-8 010 $a1-283-05218-0 010 $a9786613052186 010 $a1-139-04173-8 010 $a1-139-04250-5 010 $a1-139-04514-8 010 $a1-139-03859-1 010 $a0-511-92149-7 010 $a1-139-04096-0 035 $a(CKB)2670000000077427 035 $a(EBL)674656 035 $a(OCoLC)710974870 035 $a(SSID)ssj0000517637 035 $a(PQKBManifestationID)11332286 035 $a(PQKBTitleCode)TC0000517637 035 $a(PQKBWorkID)10487885 035 $a(PQKB)11118240 035 $a(UkCbUP)CR9780511921490 035 $a(MiAaPQ)EBC674656 035 $a(Au-PeEL)EBL674656 035 $a(CaPaEBR)ebr10460547 035 $a(CaONFJC)MIL305218 035 $a(EXLCZ)992670000000077427 100 $a20100927d2011|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aComplex-valued matrix derivatives $ewith applications in signal processing and communications /$fAre Hjørungnes$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2011. 215 $a1 online resource (xxi, 247 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a1-139-03704-8 311 $a0-521-19264-1 320 $aIncludes bibliographical references and index. 327 $aBackground material -- Theory of complex-valued matrix derivatives -- Development of complex-valued derivative formulas -- Complex Hessian matrices for scalar, vector, and matrix functions -- Generalized complex-valued matrix derivatives -- Applications in signal processing and communications. 330 $aIn 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. 606 $aMatrix derivatives 606 $aSystems engineering 606 $aSignal processing$xMathematical models 606 $aTelecommunication$xMathematical models 615 0$aMatrix derivatives. 615 0$aSystems engineering. 615 0$aSignal processing$xMathematical models. 615 0$aTelecommunication$xMathematical models. 676 $a621.382/2 700 $aHjørungnes$b Are$0479925 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910459709303321 996 $aComplex-valued matrix derivatives$9257975 997 $aUNINA