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Signal Analysis: Wavelets, Filter Banks, Time-Frequency Transforms and Applications




Signal Analysis: Wavelets, Filter Banks, Time-Frequency Transforms and Applications

Alfred Mertins

ISBN: 978-0-471-98626-3 January 1999 330 Pages


Signal analysis gives an insight into the properties of signals and stochastic processes by methodology. Linear transforms are integral to the continuing growth of signal processes as they characterize and classify signals. In particular, those transforms that provide time-frequency signal analysis are attracting greater numbers of researchers and are becoming an area of considerable importance. The key characteristic of these transforms, along with a certain time-frequency localization called the wavelet transform and various types of multirate filter banks, is their high computational efficiency. It is this computational efficiently which accounts for their increased application. This book provides a complete overview and introduction to signal analysis. It presents classical and modern signal analysis methods in a sequential structure starting with the background to signal theory. Progressing through the book the author introduces more advanced topics in an easy to understand style. Including recent and emerging topics such as filter banks with perfect reconstruction, time frequency and wavelets. With great accuracy and technical merit, this book makes a useful and original contribution to the current literature.
Signals and Signal Spaces.

Integral Signal Representations.

Discrete Signal Representations.

Examples of Discrete Transforms.

Transforms and Filters for Stochastic Processes.

Filter Banks.

Short-Time Fourier Analysis.

Wavelet Transform.

Non-Linear Time-Frequency Distributions.


"...excellent and interesting reading for digital signal processing engineers and designers and for postgraduate students in electrical and computer faculties." (Mathematical Reviews, 2002d)