Description

Book Synopsis

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 GivensHaar transforms, the last chapter discusses the problem of signal multiresolution.

This book presents numerous interesting problems and concepts of unitary tr

Table of Contents

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

Brief Notes in Advanced DSP

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A Hardback by Artyom M. Grigoryan, Merughan Grigoryan

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    View other formats and editions of Brief Notes in Advanced DSP by Artyom M. Grigoryan

    Publisher: Taylor & Francis Inc
    Publication Date: 20/02/2009
    ISBN13: 9781439801376, 978-1439801376
    ISBN10: 1439801371

    Description

    Book Synopsis

    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 GivensHaar transforms, the last chapter discusses the problem of signal multiresolution.

    This book presents numerous interesting problems and concepts of unitary tr

    Table of Contents

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

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