Article 5317

Title of the article

A METHOD OF SPECTRAL ANALYSIS OF SIGNALS USING PIECEWISE CONSTANT FUNCTIONS AND AN APPROACH 
TO HARDWARE IMPLEMENTATION OF THIS METHOD

Authors

Bashkov Aleksey Aleksandrovich, Lead engineer, Research and Production Enterprise “Gamma” (building 4, 78 Profsoyuznaya street, Moscow, Russia), a-a-bashkov@yandex.ru 

Index UDK

53.08

DOI

10.21685/2072-3059-2017-3-5

Abstract

Background. Methods of spectral analysis of signals with lower computational complexity than the discrete Fourier transform (DFT) are the object of the study. The subject of the study is a method of spectral analysis of signals using piecewise constant functions. The purpose of this work is to compare the results of spectral analysis of harmonic signals using the proposed method and the discrete Fourier transform, and to introduce a hardware implementation method for main blocks of the algorithm.
Results. The method was simulated with 16, 32 and 64 piecewise constant segments for a period. We determined the proposed method’s error distribution with respect to the DFT result. The method’s error appears to be dependent on the analyzed frequency. The article outlines implementation of the main blocks of the algorithm.
Conclusions. A comparison of the accuracy characteristics of the method for a different number of piecewise constant regions and the discrete Fourier transform led to a conclusion that the method can be used for spectral analysis of signals.

Key words

frequency analysis, discrete Fourier transform, fast Fourier transform, hardware implementation

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Дата создания: 06.02.2018 10:35
Дата обновления: 26.02.2018 15:13