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Fast Fourier Transform and Its Applications

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The Fast Fourier Transform (FFT) is a mathematical method widely used in signal processing. This book focuses on the application of the FFT in a variety of areas: Biomedical engineering, mechanical analysis, analysis of stock market data, geophysical analysis, and the conventional radar communications field.

Author(s): Sergej Rjasanow; Olaf Steinbach
Series: Mathematical and Analytical Techniques with Applications to Engineering
Publisher: Prentice Hall
Year: 1988

Language: English
Pages: 463

cover......Page 1
THE FAST FOURIER TRANSFORM AND ITS APPLICATIONS......Page 2
CONTENTS......Page 6
PREFACE......Page 12
1 INTRODUCTION......Page 16
2 THE FOURIER TRANSFORM......Page 24
3 FOURIER TRANSFORM PROPERTIES......Page 45
4 CONVOLUTION AND CORRELATION......Page 65
5 FOURIER SERIES AND SAMPLED WAVEFORMS......Page 89
6 THE DISCRETE FOURIER TRANSFORM......Page 104
7 DISCRETE CONVOLUTION AND CORRELATION......Page 133
8 THE FAST FOURIER TRANSFORM (FFT)......Page 146
9 FFT TRANSFORM APPLICATIONS......Page 182
10 FFT CONVOLUTIONAND CORRELATION......Page 219
11 TWO-DIMENSIONAL FFT ANALYSIS......Page 247
12 FFT DIGITAL FILTER DESIGN......Page 287
13 FFT MULTICHANNEL BAND-PASS FILTERING......Page 306
14 FFT SIGNAL PROCESSING AND SYSTEM APPLICATIONS......Page 335
A THE IMPULSE FUNCTION: A DISTRIBUTION......Page 401
BIBLIOGRAPHY......Page 409
INDEX......Page 461