Email this article Extraction of Pairs of Harmonics from Trigonometric Polynomials by Phase-Amplitude Operators
- Authors: Danchenko V.I.1, Danchenko D.Y.1
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Affiliations:
- A. G. and N. G. Stoletov Vladimir State University
- Issue: Vol 232, No 3 (2018)
- Pages: 322-337
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241302
- DOI: https://doi.org/10.1007/s10958-018-3875-0
- ID: 241302
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Abstract
We propose a method for extracting the sums of two harmonics from trigonometric polynomials Tn(t) by the method of amplitude-phase transformations. Such transformations send polynomials Tn(t) to similar polynomials by two simplest operations: multiplication by a real constant X and shift by a real phase λ, i.e., Tn(t) → X ・ Tn(t − λ). The harmonics are extracted by adding similar polynomials.
About the authors
V. I. Danchenko
A. G. and N. G. Stoletov Vladimir State University
Author for correspondence.
Email: vdanch2012@yandex.ru
Russian Federation, 87, Gor’kogo St., Vladimir, 600000
D. Ya. Danchenko
A. G. and N. G. Stoletov Vladimir State University
Email: vdanch2012@yandex.ru
Russian Federation, 87, Gor’kogo St., Vladimir, 600000
