Trigonometric splines in spectral problems
V. P. Denysiuk
TL;DR
This paper explores the application of trigonometric splines in spectral analysis, examining effects in frequency and time domains, and establishing relations between Fourier coefficients to improve signal analysis accuracy.
Contribution
It introduces the deployment effects of trigonometric splines in spectral analysis and relates discrete Fourier coefficients to spline Fourier coefficients, emphasizing differential properties of signals.
Findings
Relation between discrete Fourier coefficients and spline Fourier coefficients established
Deployment effects in frequency and time domains analyzed
Significance of differential properties in signal sampling highlighted
Abstract
Some questions of application of trigonometric splines in problems of spectral analysis are considered. The known effects of overlay in the frequency and time domains are discussed; deployment effects in these areas are firstly considered. The relation between discrete Fourier coefficients and Fourier coefficients of trigonometric splines was obtained. The expediency of taking into account the differential properties of the investigated signals that are losing during the primary sampling is shown.
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Taxonomy
TopicsHeat Transfer and Mathematical Modeling · Advanced Computational Techniques in Science and Engineering · Technology and Human Factors in Education and Health