Fast Transforms Algorithms, Analyses, Applications

Fast Transforms Algorithms, Analyses, Applications, 1st Edition

Fast Transforms Algorithms, Analyses, Applications, 1st Edition,Douglas Elliott,K. Rao,ISBN9780122370809


Academic Press




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This book has grown from notes used by the authors to instruct fast transform classes. One class was sponsored by the Training Department of Rockwell International, and another was sponsored by the Department of Electrical Engineering of The University of Texas at Arlington. Some of the material was also used in a short course sponsored by the University of Southern California. The authors are indebted to their students for motivating the writing of this book and for suggestions to improve it.


For advanced undergraduate or beginning graduate students and for practicing engineers and scientists.

Douglas Elliott

Affiliations and Expertise

Rockwell International Corporation

K. Rao

Affiliations and Expertise

Dept. of Electrical Engineering, The University of Texas at Arlington

View additional works by K. Ramamohan Rao

Fast Transforms Algorithms, Analyses, Applications, 1st Edition

Preface. Acknowledgments. List of Acronyms. Notation. Introduction. Fourier Series and Fourier Transform. Discrete Fourier Transforms. Fast Fourier Transform Algorithms. FFT Algorithms That Reduce Multiplications. DFT Filter Shapes and Shaping. Spectral Analysis Using the FFT. Walsh-Hadamard Transforms. The Generalized Transform. Discrete Orthogonal Transforms. Number Theoretic Transforms. Appendix. References. Index.

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