03527nam 22007332 450 991081925810332120151005020623.01-107-21406-81-283-05218-097866130521861-139-04173-81-139-04250-51-139-04514-81-139-03859-10-511-92149-71-139-04096-0(CKB)2670000000077427(EBL)674656(OCoLC)710974870(SSID)ssj0000517637(PQKBManifestationID)11332286(PQKBTitleCode)TC0000517637(PQKBWorkID)10487885(PQKB)11118240(UkCbUP)CR9780511921490(MiAaPQ)EBC674656(Au-PeEL)EBL674656(CaPaEBR)ebr10460547(CaONFJC)MIL305218(PPN)261340433(EXLCZ)99267000000007742720100927d2011|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierComplex-valued matrix derivatives with applications in signal processing and communications /Are Hjørungnes1st ed.Cambridge :Cambridge University Press,2011.1 online resource (xxi, 247 pages) digital, PDF file(s)Title from publisher's bibliographic system (viewed on 05 Oct 2015).1-139-03704-8 0-521-19264-1 Includes bibliographical references and index.Background 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.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.Matrix derivativesSystems engineeringSignal processingMathematical modelsTelecommunicationMathematical modelsMatrix derivatives.Systems engineering.Signal processingMathematical models.TelecommunicationMathematical models.621.382/2TEC000000bisacshHjørungnes Are479925UkCbUPUkCbUPBOOK9910819258103321Complex-valued matrix derivatives257975UNINA