Class of Optimal Polynomial Window Functions for Spectral Analysis of Signals

The problem of synthesis of low-order polynomial window functions with an arbitrarily specified decay rate of spectral lobes (optimal with respect to minimization of the maximum side lobe on a specified segment of the frequency axis) is solved. A method for the synthesis of optimal functions with ve...

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Bibliographic Details
Published inJournal of communications technology & electronics Vol. 66; no. 5; pp. 567 - 580
Main Authors Zaitsev, G. V., Khzmalyan, A. D.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.05.2021
Springer
Springer Nature B.V
Subjects
Algorithms
Communications Engineering
Decay rate
Engineering
Mathematical analysis
Networks
Optimization
Polynomials
Sidelobes
Spectrum analysis
Synthesis
Theory and Methods of Signal Processing
Window functions
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Summary:The problem of synthesis of low-order polynomial window functions with an arbitrarily specified decay rate of spectral lobes (optimal with respect to minimization of the maximum side lobe on a specified segment of the frequency axis) is solved. A method for the synthesis of optimal functions with verification of the solution is developed. The window functions of orders 1–12 with side-lobe decay rates of 6, 12, 18, 24, and 30 dB/oct are synthesized and tables of the parameters are presented. The characteristics of the functions are analyzed and compared with the known ones. A simple algorithm for calculation of the synthesized functions is proposed.
ISSN:1064-2269
1555-6557
DOI:10.1134/S1064226921050107