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Brief Notes in Advanced DSP - Fourier Analysis with MATLAB (Paperback)
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Brief Notes in Advanced DSP - Fourier Analysis with MATLAB (Paperback)
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Based on the authors' research in Fourier analysis, Brief Notes in
Advanced DSP: Fourier Analysis with MATLAB (R) addresses many
concepts and applications of digital signal processing (DSP). The
included MATLAB (R) codes illustrate how to apply the ideas in
practice. The book begins with the basic concept of the discrete
Fourier transformation and its properties. It then describes
lifting schemes, integer transformations, the discrete cosine
transform, and the paired transform method for calculating the
discrete Hadamard transform. The text also examines the
decomposition of the 1D signal by so-called section basis signals
as well as new forms of 2D signal/image representation and
decomposition by direction signals/images. Focusing on Fourier
transform wavelets and Givens-Haar transforms, the last chapter
discusses the problem of signal multiresolution. This book presents
numerous interesting problems and concepts of unitary
transformations, such as the Fourier, Hadamard, Hartley, Haar,
paired, cosine, and new signal-induced transformations. It aids
readers in using new forms and methods of signals and images in the
frequency and frequency-and-time domains.
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