Mathematics of Multidimensional Fourier Transform Algorithms

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The main emphasis of this book is the development of algorithms for processing multi-dimensional digital signals, and particularly algorithms for multi-dimensional Fourier transforms, in a form that is convenient for writing highly efficient code on a variety of vector and parallel computers.
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More About This Book

Overview

The main emphasis of this book is the development of algorithms for processing multi-dimensional digital signals, and particularly algorithms for multi-dimensional Fourier transforms, in a form that is convenient for writing highly efficient code on a variety of vector and parallel computers.
Read More Show Less

Product Details

  • ISBN-13: 9781468402070
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 7/31/2012
  • Series: Signal Processing and Digital Filtering Series
  • Edition description: Softcover reprint of the original 1st ed
  • Edition number: 1
  • Pages: 247
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.52 (d)

Table of Contents

Preface
1 Tensor Product 1
2 Multidimensional Tensor Product and FFT 25
3 Finite Abelian Groups 37
4 Fourier Transform of Finite Abelian Groups 51
5 Cooley-Tukey and Good-Thomas 63
6 Lines 71
7 Duality of Lines and Planes 91
8 Reduced Transform Algorithms 105
9 Field Algorithm 125
10 Implementation on RISC Architectures 141
11 Implementation on Parallel Architectures 161
Index 185
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