Mathematical Methods and Algorithms for Signal Processing

Mathematical Methods and Algorithms for Signal Processing tackles the challenge of providing readers and practitioners with the broad tools of mathematics employed in modern signal processing. Building from an assumed background in signals and stochastic processes, the book provides a solid foundation in analysis, linear algebra, optimization, and statistical signal processing.

FEATURES/BENEFITS

• Many MATLAB algorithms and examples.

• Allow the reader to understand more deeply by seeing the implementation and to learn by doing.

• A strong foundation which motivates the development of advanced concepts, removing the "mysteries" frequently encountered by users—Geometric insight is presented wherever possible.

• Readers develop maturity to read literature, and develop confidence in their abilities. Ex. Ch. 2, 3

• Solid introduction to wavelets in the context of vector spaces—Including transform algorithms and basic theory.

• Presents this important and modern topic in a context that should help the readers understanding. Ex. Ch. 3

• Interesting modern topics not available in many other signal processing texts—Such as the EM algorithm, blind source separation, projection on convex sets, etc., in addition to many more conventional topics such as spectrum estimation, adaptive filtering, etc.

• Motivate reader interest by presenting the field as dynamic, with an enormous number of useful applications.

• Review of many signal models, in time domain, frequency domain, and state space domain, showing relationships between them, and issues related to theirapplications.

• Readers can learn to move among the various forms, and understand how they relate. Also, come to understand the importance of a good signal model in approaching new problems. Ex. Ch. 1

• Presents path algorithms (dynamic programming and Viterbi) with many applications.
• Coverage of detection and estimation theory.

• Learning to employ the tools they have gained in the first part, overcoming some of the algebraic difficulties frequently encountered in this area. Ex. Ch. 10

• More than one approach to some problems.

• In QR factorization and the Kalman filter, for example, multiple approaches are presented so the reader can gain insight and approach the realization that there is more than one way to solve the most interesting problems. Ex. Ch. 5, 14

Mathematical Methods and Algorithms for Signal Processing tackles the challenge of providing readers and practitioners with the broad tools of mathematics employed in modern signal processing. Building from an assumed background in signals and stochastic processes, the book provides a solid foundation in analysis, linear algebra, optimization, and statistical signal processing.

FEATURES/BENEFITS

• Many MATLAB algorithms and examples.

• Allow the reader to understand more deeply by seeing the implementation and to learn by doing.

• A strong foundation which motivates the development of advanced concepts, removing the "mysteries" frequently encountered by users—Geometric insight is presented wherever possible.

• Readers develop maturity to read literature, and develop confidence in their abilities. Ex. Ch. 2, 3

• Solid introduction to wavelets in the context of vector spaces—Including transform algorithms and basic theory.

• Presents this important and modern topic in a context that should help the readers understanding. Ex. Ch. 3

• Interesting modern topics not available in many other signal processing texts—Such as the EM algorithm, blind source separation, projection on convex sets, etc., in addition to many more conventional topics such as spectrum estimation, adaptive filtering, etc.

• Motivate reader interest by presenting the field as dynamic, with an enormous number of useful applications.

• Review of many signal models, in time domain, frequency domain, and state space domain, showing relationships between them, and issues related to theirapplications.

• Readers can learn to move among the various forms, and understand how they relate. Also, come to understand the importance of a good signal model in approaching new problems. Ex. Ch. 1

• Presents path algorithms (dynamic programming and Viterbi) with many applications.
• Coverage of detection and estimation theory.

• Learning to employ the tools they have gained in the first part, overcoming some of the algebraic difficulties frequently encountered in this area. Ex. Ch. 10

• More than one approach to some problems.

• In QR factorization and the Kalman filter, for example, multiple approaches are presented so the reader can gain insight and approach the realization that there is more than one way to solve the most interesting problems. Ex. Ch. 5, 14

Booknews

This textbook bridges the gap between introductory signal processing classes and the mathematics prevalent in contemporary signal processing research and practice. Moon (Utah State University) and Stirling (Brigham Young) treat linear algebra, statistical signal processing, iterative algorithms, and optimization. The CD-ROM contains algorithms and exercises written in MATLAB. Annotation c. Book News, Inc., Portland, OR (booknews.com)

TODD K. MOON is currently with the Electrical and Computer Engineering department at Utah State University, where he has taught widely in the area of signals and systems, including signal processing, communications, controls, and information theory. His research interests have included signal separation, spread-spectrum communication, wavelet modulation, speech processing, and signal reconstruction.

WYNN C. STIRLING is a professor of electrical engineering at Brigham Young University, where he has served on the faculty since 1984. He received his Ph.D. in electrical engineering from Stanford University, and has worked as a research engineer for Rockwell International Corporation, ESL, Inc. (now TRW), and Autonetics. His research interests include decision theory, control theory, estimation theory, and stochastic processes. Dr. Stirling has contributed numerous articles to professional journals, and is a member of IEEE and Phi Beta Kappa.