PERIODIC COMPONENT OF FINITE SIGNAL IN THE LEBESGUE SPACE
Abstract
Spectral analysis of signals is An important applied problem, in particular the allocation of the periodic component. The classical approach to this task solution - Fourier Analysis and its various modifications (such as wavelet analysis). Fourier analysis is best suited for the study of signals under consideration for the entire time axis. The finite signals are defined on a finite interval with the "artificial" must be replaced at no limited. In this paper, a direct variational method for studying finite signals in Lebesgue spaces L2 [a, b] and more generally in the Sobolev spaces Wp[a,b] . Located in the best sense of the norms of these spaces, the periodic component. For finite digital signals, the algorithm is implemented in the MatLab.
Keywords
514.7
About the Authors
Marina Sergeevna Kozachenko
Ugra State University
Russian Federation
Russian Federation
Victor Vladimirovich Slavsky
Altai State Pedagogical Academy
Russian Federation
Russian Federation
References
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Review
For citations:
Kozachenko M.S., Slavsky V.V. PERIODIC COMPONENT OF FINITE SIGNAL IN THE LEBESGUE SPACE. The Bulletin of Kemerovo State University. 2011;(3-1):258-263. (In Russ.)
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