Digital Frequency-Selective Filters Based on Spectra of Atomic Functions

A method for synthesis of digital low-pass filter (LPF) based on spectra of atomic functions is first proposed. Compactly supported function is a solution to the problem of partition of unity, which makes it possible to consider a sum of its shifts as a perfect frequency response of LPF. Truncation...

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Bibliographic Details
Published in:Journal of communications technology & electronics 2019-10, Vol.64 (10), p.1095-1100
Main Authors: Budunova, K. A., Kravchenko, V. F., Pustovoit, V. I.
Format: Article
Language:English
Subjects:
Communications Engineering
Digital filters
Engineering
Frequency response
Low pass filters
Networks
Signal processing
Theory and Methods of Signal Processing
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Summary:A method for synthesis of digital low-pass filter (LPF) based on spectra of atomic functions is first proposed. Compactly supported function is a solution to the problem of partition of unity, which makes it possible to consider a sum of its shifts as a perfect frequency response of LPF. Truncation of the spectrum of function is used to obtain digital filters with rapidly decaying coefficients. Formulas for estimation of deviations of frequency responses in the passband and stopband are derived. Application of new filters in multirate signal processing is considered.
ISSN:1064-2269
1555-6557
DOI:10.1134/S1064226919100036