Discrete and Continuous Fourier Transforms
Analysis, Applications and Fast Algorithms
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ISBN-13:
9780367452698
Veröffentl:
2019
Erscheinungsdatum:
02.12.2019
Seiten:
422
Autor:
Eleanor Chu
Gewicht:
753 g
Format:
246x189x22 mm
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
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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