02442nam a2200289 a 4500 vtls000060729 KUKTEM 20251117144501.0 120531t2011 enka f b 001 0 eng d 9780521192644 (hardback) 0521192641 (hardback) 201208101455 fauzi 201205311129 safura UMP TA347.D4 H56 2011 Hjørungnes, Are Complex-valued matrix derivatives : with applications in signal processing and communications / Are Hjørungnes Cambridge : Cambridge University Press, c2011 xxi, 247 p. : ill. ; 26 cm. Includes bibliographical references and index Machine 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 "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 Matrix derivatives Systems engineering Signal processing Mathematical models Telecommunication Mathematical models 0 0 0 0 20000 20000 2019-09-04 319.70 0 TA347.D4 H56 2011 0000066080 2019-09-04 00:00:00 1 319.70 2019-09-04 OPEN VIRTUA40 37243 37249 VTLSSORT0080*0200*0201*0400*0900*1000*2450*2600*3000*5040*5050*5200*6500*6501*6502*6503*9992