Periodicity criterion for adaptive algorithm of determining the signal’s period

Authors

  • I. I. Klyuchnik Kharkiv National University, Ukraine
  • M. A. Lodygin Kharkiv National University, Ukraine

DOI:

https://doi.org/10.3103/S0735272708110022

Abstract

Analytical substantiation of the suggested by the authors periodicity criterion obtained using the Fourier series in discrete and continuous forms is given. The estimation of the calculations’ complexity is performed according to the obtained formulas for the considered criterion and the results of comparison with the corresponding estimation on fast Fourier transform.

References

I. I. Kluchnik and M. A. Lodygin, UA Patent No. 78773 (15 December 2006).

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G. Bi and Y. Zeng, Transforms and Fast Algorithms for Signal Analysis and Representations (Springer, New York, 2004).

M. Frigo and S. G. Johnson, Comments on “Split Manageable Efficient Algorithm for Fourier and Hadamard Transforms,” IEEE Trans. Signal Process. 5, No. 4, 1545 (2007).

Published

2008-11-02

Issue

Section

Research Articles