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J

J.W. Cooley

Researcher at IBM

Publications -  36
Citations -  16372

J.W. Cooley is an academic researcher from IBM. The author has contributed to research in topics: Fourier transform & Harmonic wavelet transform. The author has an hindex of 20, co-authored 36 publications receiving 15293 citations. Previous affiliations of J.W. Cooley include University of Rhode Island.

Papers
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The fast Fourier transform algorithm: Programming considerations in the calculation of sine, cosine and Laplace transforms☆

TL;DR: The problem of establishing the correspondence between the discrete transforms and the continuous functions with which one is usually dealing is described and formulas and empirical results displaying the effect of optimal parameters on computational efficiency and accuracy are given.
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What is the fast Fourier transform

TL;DR: The discrete Fourier transform of a time series is defined, some of its properties are discussed, the associated fast method for computing this transform is derived, and some of the computational aspects of the method are presented.
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Application of the fast Fourier transform to computation of Fourier integrals, Fourier series, and convolution integrals

TL;DR: In this article, the properties of the fast Fourier transform are related to commonly used integral transforms including the Fourier Transform and convolution integrals, and the relationship between the Fast Fourier Transformer and Fourier series is discussed.
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Historical notes on the fast Fourier transform

TL;DR: The fast Fourier transform algorithm has a long and interesting history that has only recently been appreciated as discussed by the authors, and the contributions of many investigators are described and placed in historical perspective in this paper.
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The finite Fourier transform

TL;DR: In this paper, the finite Fourier transform of a finite sequence is defined and its elementary properties are developed, and the convolution and term-by-term product operations are defined and their equivalent operations in transform space.