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Analysis and Synthesis of Control Systems
A method for constructing a frequecy analyzer of quasi-stationary signals
A. S. Kolokolov, I. A. Lyubinskii, V. P. Yahno V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
Abstract:
A method for frequency analysis of polyharmonic signals based on the time-frequency processing of the spectral pattern is proposed. The amplitude spectrum is determined in two steps in the proposed method. The amplitude spectrum of the analyzed signal is estimated by a comb of digital bandpass filters with highly overlapping frequency characteristics at the first stage.In order to find the amplitude spectrum, the output signals of the bandpass filters are rectified and smoothed by lowpass filters. At the second stage, the obtained spectrum is processed using a single-layer network of neural-like elements with delayed lateral inhibitory connections. The use of such a network allows to improve the characteristics of the frequency analyzer, namely, for a given accuracy and frequency resolution, to significantly reduce both the spectral envelope pulsations and the analysis time, which makes it possible to analyze shorter signals. The performance of the proposed method was tested with examples of harmonic and speech signal analysis for the case of using a comb of second-order digital bandpass filters with equal relative bandwidths and central frequencies evenly spaced on a logarithmic frequency scale. Such a choice of filter parameters of a frequency analyzer ensured equal accuracy of the analysis of the harmonic components of the signal under study.
Keywords:
signal processing, spectrum analyzer, harmonic and speech signal, level of pulsation.
Received: June 8, 2018 Published: March 31, 2019
Citation:
A. S. Kolokolov, I. A. Lyubinskii, V. P. Yahno, “A method for constructing a frequecy analyzer of quasi-stationary signals”, UBS, 78 (2019), 106–121
Linking options:
https://www.mathnet.ru/eng/ubs994 https://www.mathnet.ru/eng/ubs/v78/p106
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Statistics & downloads: |
Abstract page: | 171 | Full-text PDF : | 148 | References: | 37 |
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