Anharmonic frequency analysis
HTML articles powered by AMS MathViewer
- by A. K. Paul PDF
- Math. Comp. 26 (1972), 437-447 Request permission
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.References
-
E. Whittaker & G. Robinson, The Calculus of Observations, Blackie and Son, London and Glasgow, 1948, pp. 369 ff.
- Fr. A. Willers, Practical Analysis. Graphical and Numerical Methods, Dover Publications, Inc., New York, 1948. Translated by Robert T. Beyer. MR 0028094
- James W. Cooley and John W. Tukey, An algorithm for the machine calculation of complex Fourier series, Math. Comp. 19 (1965), 297–301. MR 178586, DOI 10.1090/S0025-5718-1965-0178586-1 P. Schureman, Manual of Harmonic Analysis and Prediction of Tides, U.S. Government Printing Office, Washington, D. C., 1941. Tables of Functions and Zeros of Functions, Nat. Bur. Standards Appl. Math. Series 37, U. S. Government Printing Office, Washington, D. C., 1954.
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Math. Comp. 26 (1972), 437-447
- MSC: Primary 94A05
- DOI: https://doi.org/10.1090/S0025-5718-1972-0371483-1
- MathSciNet review: 0371483