Recently there has been intense research activity on the subject of
wavelet/subband theory and application. Experts in such diverse
fields as mathematics, physics, electrical engineering and image
processing have provided original and pioneering works and results.
But this diversity, while rich and productive, has lead to a sense
of fragmentation, especially to those new to the field, and
nonspecialists, trying to understand the connections between the
different aspects of wavelet and subband theory.
The book is designed to present an understanding of wavelets and
their development from a continuous-domain transformation to a
frame representation and finally to multiresolution analysis tools
such as subband decomposition. The book presents a theoretical
understanding of the subject that is intertwined with practical
examples and practical applications of wavelets in ultrasonic and
biomedical applications. There is special emphasis on applications
in communications and compression as well as image processing.
Topics and Features:
* Provides an understanding of the link between continuous
wavelet transform, the fast wavelet transform and subband
decomposition.
* Algorithms and numerical examples are implemented in
Matlab.
* The design of wavelet bases, and how to implement the
transform both in hardware and software is discussed in detail.
* Covers the fundamentals and the developments of the links
between areas such as time-frequency analysis, digital signal
processing, image processing and Fourier and wavelet transform,
both continuous and discrete.
Extended mathematical treatment and numerous examples, with
particular emphasis to the transition from thecontinuous domain to
multiresolution and subband. The book is an essential
text/reference for graduates, researchers, and professionals in
electrical engineering, communications engineering and computer
engineering. Practitioners and professionals engaged in signal
processing, wavelets and Fourier analysis will find the book a
useful resource and comprehensive guide.
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