Journal ArticleDOI
The fast Fourier transform for experimentalists. Part I. Concepts
D. Donnelle,B. Rust +1 more
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The first two parts of this article will discuss concepts associated with the fast Fourier transform (FFT), an implementation of the DFT, and two applications are analyzed: a bat chirp and atmospheric sea-level pressure differences in the Pacific Ocean.Abstract:
The discrete Fourier transform (DFT) provides a means for transforming data sampled in the time domain to an expression of this data in the frequency domain. The inverse transform reverses the process, converting frequency data into time-domain data. Such transformations can be applied in a wide variety of fields, from geophysics to astronomy, from the analysis of sound signals to CO/sub 2/ concentrations in the atmosphere. Over the course of three articles, our goal is to provide a convenient summary that the experimental practitioner will find useful. In the first two parts of this article, we'll discuss concepts associated with the fast Fourier transform (FFT), an implementation of the DFT. In the third part, we'll analyze two applications: a bat chirp and atmospheric sea-level pressure differences in the Pacific Ocean.read more
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Air circulation and its impact on microclimatic variables in the Císařská Cave (Moravian Karst, Czech Republic)
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The Fast Fourier and Hilbert-Huang Transforms: A Comparison
TL;DR: The conversion of time domain data via the fast Fourier (FFT) and Hilbert-Huang (HHT) transforms is compared and the behavior and flexibility of these two transforms are examined for a number of different time domain signal types.
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Journal ArticleDOI
An algorithm for the machine calculation of complex Fourier series
J.W. Cooley,John W. Tukey +1 more
TL;DR: Good generalized these methods and gave elegant algorithms for which one class of applications is the calculation of Fourier series, applicable to certain problems in which one must multiply an N-vector by an N X N matrix which can be factored into m sparse matrices.
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Numerical Recipes in FORTRAN
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The Fourier Transform and Its Applications
TL;DR: In this paper, the authors provide a broad overview of Fourier Transform and its relation with the FFT and the Hartley Transform, as well as the Laplace Transform and the Laplacian Transform.
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Matrix Analysis and Applied Linear Algebra
TL;DR: The author presents Perron-Frobenius theory of nonnegative matrices Index, a theory of matrices that combines linear equations, vector spaces, and matrix algebra with insights into eigenvalues and Eigenvectors.