Artyom M. Grigoryan, Merughan Grigoryan "Brief Notes in Advanced DSP: Fourier Analysis with MATLAB"
CRC | English | 2009-02-20 | ISBN: 1439801371 | 354 pages | PDF | 14 MB
Based on the
authors’ research in Fourier analysis, Brief Notes in Advanced DSP:
Fourier Analysis with MATLAB® addresses many concepts and applications
of digital signal processing (DSP). The included MATLAB® 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 1-D signal by so-called section basis signals as
well as new forms of 2-D 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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