Polynomial Signal Processing

by V. John Mathews, Giovanni L. Sicuranza

Despite our growing understanding of the properties and capabilities of nonlinear filters, there persists the belief among engineers that these filters are too complex to implement. This book debunks the myth that all nonlinear filters are complex with its coverage of the polynomial filter. It examines all major aspects of the technology, including system modeling, speed analysis, image processing, communications, biological signal processing, semiconductor modeling, neutral sets, and more.

472 pages, Hardcover

First published May 1, 2000

Reviews

[Kyu · Rating 4 out of 5]

To my knowledge at the time writing this review, this is the most recent book on Volterra series for nonlinear modeling.
The introduction into Volterra series is rather short and a look into Schetzen 1980 is highly encouraged, maybe even necessary to completely grasp the topic. The focus of the book lies on polynomial filters and therefore discrete Volterra series. It provides lots of insight into identification and design of those filters as well as visual examples along the way. Examples are mainly picked from image processing with some audio processing examples.
After each chapter (excluding chapter 1 and 11) there are some exercises included. For people studying on their own it has to be added, that no solution is provided in this book.
The book includes an exhaustive list of references to further details and non-covered aspects.

I took a lot from the book, and I really like the more practical orientated approach as well as the more modern style of the book.