Complex-Valued Matrix Derivatives
eBook - PDF

Complex-Valued Matrix Derivatives

With Applications in Signal Processing and Communications

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Complex-Valued Matrix Derivatives

With Applications in Signal Processing and Communications

About this book

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.

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Yes, you can access Complex-Valued Matrix Derivatives by Are Hjørungnes in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Signals & Signal Processing. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Title
  4. Copyright
  5. Dedication
  6. Contents
  7. Preface
  8. Acknowledgments
  9. Abbreviations
  10. Nomenclature
  11. 1 Introduction
  12. 2 Background Material
  13. 3 Theory of Complex-Valued Matrix Derivatives
  14. 4 Development of Complex-Valued Derivative Formulas
  15. 5 Complex Hessian Matrices for Scalar, Vector, and Matrix Functions
  16. 6 Generalized Complex-Valued Matrix Derivatives
  17. 7 Applications in Signal Processing and Communications
  18. References
  19. Index