Complex-valued matrix derivatives : with applications in signal processing and communications / / Are Hjrungnes.
"In this complete introduction to the theory of finding derivatives of scalar-, vector- and matrix-valued functions with respect to complex matrix variables, Hjrungnes describes an essential set of mathematical tools for solving research problems where unknown parameters are contained in comple...
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| Year of Publication: | 2011 |
| Language: | English |
| Online Access: | |
| Physical Description: | xxi, 247 p. :; ill. |
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| 020 | |z 9780521192644 (hardback) | ||
| 020 | |a 9781139045148 (electronic bk.) | ||
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| 040 | |a MiAaPQ |c MiAaPQ |d MiAaPQ | ||
| 050 | 4 | |a TA347.D4 |b H56 2011 | |
| 082 | 0 | 4 | |a 621.382/2 |2 22 |
| 100 | 1 | |a Hjrungnes, Are. | |
| 245 | 1 | 0 | |a Complex-valued matrix derivatives |h [electronic resource] : |b with applications in signal processing and communications / |c Are Hjrungnes. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2011. | ||
| 300 | |a xxi, 247 p. : |b ill. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 8 | |a 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. | |
| 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, Hjrungnes 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"-- |c Provided by publisher. | ||
| 533 | |a Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. | ||
| 650 | 0 | |a Matrix derivatives. | |
| 650 | 0 | |a Systems engineering. | |
| 650 | 0 | |a Signal processing |x Mathematical models. | |
| 650 | 0 | |a Telecommunication |x Mathematical models. | |
| 655 | 4 | |a Electronic books. | |
| 710 | 2 | |a ProQuest (Firm) | |
| 856 | 4 | 0 | |u https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=674656 |z Click to View |