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Discrete and Continuous Fourier Transforms
ISBN-13:
9781000687576
Veröffentl:
2008
Seiten:
424
Autor:
Eleanor Chu
eBook Typ:
EPUB
eBook Format:
EPUB
Kopierschutz:
0 - No protection
Sprache:
Englisch
Beschreibung:
This accessible, self-contained book presents the fundamentals of Fourier analysis and their deployment in signal processing using DFT and FFT algorithms. It provides meaningful interpretations of essential formulas in the context of applications. The text comprehensively covers the DFT of windowed sequences, various discrete convolution algorithms and their applications in digital filtering and filters, and many FFT algorithms unified under the frameworks of mixed-radix FFTs and prime factor FFTs. A large number of graphical illustrations and worked examples, supported by numerical results using MATLAB, help explain the concepts and relationships.
Preface. Analytical and Graphical Representation of Function Contents. Sampling and Reconstruction of Functions-Part I. The Fourier Series. DFT and Sampled Signals. Sampling and Reconstruction of Functions-Part II. Sampling and Reconstruction of Functions-Part III. The Fourier Transform of a Sequence. The Discrete Fourier Transform of a Windowed Sequence. Discrete Convolution and the DFT. Applications of the DFT in Digital Filtering and Filters. Index Mapping and Mixed-Radix FFTs. Kronecker Product Factorization and FFTs. The Family of Prime Factor FFT Algorithms. On Computing the DFT of Large Prime Length. Bibliography. Index.
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