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Anharmonic frequency analysis

Published:1972 Issue:118 Volume:26 Page:437-447
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Paul A. K.

Abstract

A new numerical method of frequency analysis is described, designed mainly to search for discrete frequencies in a time series. An integral transform is applied twice to the data for different reference times. A complex amplitude within a selected narrow frequency band is obtained for each transform. The frequency is then determined from the phase change of the complex amplitude over the difference of the two reference times. Very high precision is obtained, which is demonstrated in two examples.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1972-26-118/S0025-5718-1972-0371483-1/S0025-5718-1972-0371483-1.pdf

Reference5 articles.

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2. An algorithm for the machine calculation of complex Fourier series;Cooley, James W.;Math. Comp.,1965

3. P. Schureman, Manual of Harmonic Analysis and Prediction of Tides, U.S. Government Printing Office, Washington, D. C., 1941.

4. Tables of Functions and Zeros of Functions, Nat. Bur. Standards Appl. Math. Series 37, U. S. Government Printing Office, Washington, D. C., 1954.

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