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Record Nr. |
UNINA9910970915003321 |
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Autore |
Hjørungnes Are |
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Titolo |
Complex-valued matrix derivatives : with applications in signal processing and communications / / Are Hjørungnes |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2011 |
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ISBN |
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1-107-21406-8 |
1-283-05218-0 |
9786613052186 |
1-139-04173-8 |
1-139-04250-5 |
1-139-04514-8 |
1-139-03859-1 |
0-511-92149-7 |
1-139-04096-0 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (xxi, 247 pages) : digital, PDF file(s) |
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Classificazione |
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Disciplina |
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Soggetti |
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Matrix derivatives |
Systems engineering |
Signal processing - Mathematical models |
Telecommunication - Mathematical models |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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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. |
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