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Complex-Valued Matrix Derivatives : With Applications in Signal Processing and Communications

Complex-Valued Matrix Derivatives : With Applications in Signal Processing and Communications (5회 대출)

자료유형
단행본
개인저자
Hjørungnes, Are.
서명 / 저자사항
Complex-Valued Matrix Derivatives : With Applications in Signal Processing and Communications / Are Hjørungnes.
발행사항
Cambridge ;   New York :   Cambridge University Press,   2011.  
형태사항
xxi, 247 p. ; 26 cm.
ISBN
9780521192644 (hardback)
요약
"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"--
내용주기
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.
서지주기
Includes bibliographical references and index.
일반주제명
Matrix derivatives. Systems engineering. Signal processing -- Mathematical models. Telecommunication -- Mathematical models.
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020 ▼a 9780521192644 (hardback)
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040 ▼a DLC ▼b eng ▼c DLC ▼e rda ▼d 211009
050 0 0 ▼a TA347.D4 ▼b H56 2011
082 0 0 ▼a 621.382/2 ▼2 22
084 ▼a 621.3822 ▼2 DDCK
090 ▼a 621.3822 ▼b H677c
100 1 ▼a Hjørungnes, Are.
245 1 0 ▼a Complex-Valued Matrix Derivatives : ▼b With Applications in Signal Processing and Communications / ▼c Are Hjørungnes.
260 ▼a Cambridge ; ▼a New York : ▼b Cambridge University Press, ▼c 2011.
300 ▼a xxi, 247 p. ; ▼c 26 cm.
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, 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"-- ▼c Provided by publisher.
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.
900 1 0 ▼a Hjorungnes, Are.
945 ▼a KLPA

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 621.3822 H677c 등록번호 121211989 (5회 대출) 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

책소개

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.

Introduces a powerful set of mathematical tools that can be used to analyze and optimize the performance of engineering systems.


정보제공 : Aladin

목차

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.


정보제공 : Aladin

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