Brief Notes in Advanced DSP

Fourier Analysis with MATLAB

Artyom M. Grigoryan (San Antonio, Texas, USA), Merughan Grigoryan

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English

CRC Press
15 November 2017

Environmental science, engineering & technology

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 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.

By: Artyom M. Grigoryan (San Antonio Texas USA), Merughan Grigoryan
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 453g
ISBN: 9781138117747
ISBN 10: 1138117749
Pages: 354
Publication Date: 15 November 2017
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Paperback
Publisher's Status: Active

Discrete Fourier Transform. Integer Fourier Transform. Cosine Transform. Hadamard Transform. Paired Transform-Based Decomposition. Fourier Transform and Multiresolution. References. Index.

Artyom M. Grigoryan, Merughan Grigoryan