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
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Physical Description:xxi, 247 p. :; ill.
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spelling Hjrungnes, Are.
Complex-valued matrix derivatives [electronic resource] : with applications in signal processing and communications / Are Hjrungnes.
Cambridge ; New York : Cambridge University Press, 2011.
xxi, 247 p. : ill.
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, 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"-- Provided by publisher.
Electronic reproduction. Ann Arbor, MI : ProQuest, 2015. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
Matrix derivatives.
Systems engineering.
Signal processing Mathematical models.
Telecommunication Mathematical models.
Electronic books.
ProQuest (Firm)
https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=674656 Click to View
language English
format Electronic
eBook
author Hjrungnes, Are.
spellingShingle Hjrungnes, Are.
Complex-valued matrix derivatives with applications in signal processing and communications /
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.
author_facet Hjrungnes, Are.
ProQuest (Firm)
ProQuest (Firm)
author_variant a h ah
author2 ProQuest (Firm)
author2_role TeilnehmendeR
author_corporate ProQuest (Firm)
author_sort Hjrungnes, Are.
title Complex-valued matrix derivatives with applications in signal processing and communications /
title_sub with applications in signal processing and communications /
title_full Complex-valued matrix derivatives [electronic resource] : with applications in signal processing and communications / Are Hjrungnes.
title_fullStr Complex-valued matrix derivatives [electronic resource] : with applications in signal processing and communications / Are Hjrungnes.
title_full_unstemmed Complex-valued matrix derivatives [electronic resource] : with applications in signal processing and communications / Are Hjrungnes.
title_auth Complex-valued matrix derivatives with applications in signal processing and communications /
title_new Complex-valued matrix derivatives
title_sort complex-valued matrix derivatives with applications in signal processing and communications /
publisher Cambridge University Press,
publishDate 2011
physical xxi, 247 p. : ill.
contents 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.
isbn 9781139045148 (electronic bk.)
callnumber-first T - Technology
callnumber-subject TA - General and Civil Engineering
callnumber-label TA347
callnumber-sort TA 3347 D4 H56 42011
genre Electronic books.
genre_facet Electronic books.
url https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=674656
illustrated Illustrated
dewey-hundreds 600 - Technology
dewey-tens 620 - Engineering
dewey-ones 621 - Applied physics
dewey-full 621.382/2
dewey-sort 3621.382 12
dewey-raw 621.382/2
dewey-search 621.382/2
oclc_num 710974870
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is_hierarchy_title Complex-valued matrix derivatives with applications in signal processing and communications /
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