Brief Notes in Advanced DSP: Fourier Analysis with MATLAB

Artyom M. Grigoryan, Merughan Grigoryan

November 15, 2017 by CRC Press
Reference - 354 Pages - 17 Color & 205 B/W Illustrations
ISBN 9781138117747 - CAT# K35544

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Features

  • Covers the Fourier, Hadamard, Hartley, Haar, and cosine transformations
  • Includes many MATLAB codes to show how to implement the transforms in practice and help readers compose their own programs
  • Reflects the authors’ own work on Fourier transforms
  • Contains problems in each chapter

Solutions manual available for qualifying instructors

Summary

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.

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