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Discrete and Continuous Fourier Transforms Analysis
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General Information
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Type.................: Ebook
Part Size............: 7,975,133 bytes
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Posted by............: ~tqw~
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Release Notes
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This self-contained book presents the fundamentals of Fourier analysis and their
deployment in signal processing by way of the discrete Fourier transform (DFT)
and the fast Fourier transform (FFT) algorithms. It provides meaningful
interpretations of essential formulas in the context of applications, building a
solid foundation for the application of Fourier analysis in the many diverging
and continuously evolving areas in digital signal processing enterprises. The
text comprehensively covers the DFT of windowed sequences, various discrete
convolution algorithms and their applications in digital filtering and filters,
and FFT algorithms unified under the frame works of mixed-radix FFTs and prime
factor FFTs. A large number of graphical illustrations and worked examples help
explain the concepts and relationships from the very beginning of the text.
Table Of Contents
List of Figures xi
List of Tables xv
Preface xvii
Acknowledgments xxi
About the Author xxiii
I Fundamentals, Analysis and Applications 1
1 Analyticaland Graphical Representation of Function Contents 3
2 Sampling and Reconstruction of Functions–Part I 27
3 TheFourier Series 45
4 DFTandSampled Signals 109
5 Sampling and Reconstruction of Functions–Part II 157
6 Sampling and Reconstruction of Functions–Part III 185
7 Fourier Transform of a Sequence 211
8 The Discrete Fourier Transform of a Windowed Sequence 239
9 DiscreteConvolution and the DFT 267
10 Applications of the DFT in Digital Filtering and Filters 291
II Fast Algorithms 303
11 Index Mapping and Mixed-Radix FFTs 305
12 Kronecker Product Factorization and FFTs 321
13 The Family of Prime Factor FFT Algorithms 341
14 Computing the DFT of Large Prime Length 375
Bibliography 389
Index 393
Product Details
* ISBN: 1420063634
* ISBN-13: 9781420063639
* Format: Hardcover, 424pp
* Publisher: CRC Press
* Pub. Date: March 2008
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Discrete and Continuous Fourier Transforms Analysis
*******************************************************************************
-------------------------------------------------------------------------------
General Information
-------------------------------------------------------------------------------
Type.................: Ebook
Part Size............: 7,975,133 bytes
-------------------------------------------------------------------------------
Post Information
-------------------------------------------------------------------------------
Posted by............: ~tqw~
-------------------------------------------------------------------------------
Release Notes
-------------------------------------------------------------------------------
This self-contained book presents the fundamentals of Fourier analysis and their
deployment in signal processing by way of the discrete Fourier transform (DFT)
and the fast Fourier transform (FFT) algorithms. It provides meaningful
interpretations of essential formulas in the context of applications, building a
solid foundation for the application of Fourier analysis in the many diverging
and continuously evolving areas in digital signal processing enterprises. The
text comprehensively covers the DFT of windowed sequences, various discrete
convolution algorithms and their applications in digital filtering and filters,
and FFT algorithms unified under the frame works of mixed-radix FFTs and prime
factor FFTs. A large number of graphical illustrations and worked examples help
explain the concepts and relationships from the very beginning of the text.
Table Of Contents
List of Figures xi
List of Tables xv
Preface xvii
Acknowledgments xxi
About the Author xxiii
I Fundamentals, Analysis and Applications 1
1 Analyticaland Graphical Representation of Function Contents 3
2 Sampling and Reconstruction of Functions–Part I 27
3 TheFourier Series 45
4 DFTandSampled Signals 109
5 Sampling and Reconstruction of Functions–Part II 157
6 Sampling and Reconstruction of Functions–Part III 185
7 Fourier Transform of a Sequence 211
8 The Discrete Fourier Transform of a Windowed Sequence 239
9 DiscreteConvolution and the DFT 267
10 Applications of the DFT in Digital Filtering and Filters 291
II Fast Algorithms 303
11 Index Mapping and Mixed-Radix FFTs 305
12 Kronecker Product Factorization and FFTs 321
13 The Family of Prime Factor FFT Algorithms 341
14 Computing the DFT of Large Prime Length 375
Bibliography 389
Index 393
Product Details
* ISBN: 1420063634
* ISBN-13: 9781420063639
* Format: Hardcover, 424pp
* Publisher: CRC Press
* Pub. Date: March 2008
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Install Notes
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PDF Reader
