Digital Frequency-Selective Filters Based on Spectra of Atomic Functions

被引：6

作者：

Budunova, K. A. ^{[1
]}

Kravchenko, V. F. ^{[1
,2
,3
]}

Pustovoit, V. I. ^{[2
,3
]}

机构：

[1] Russian Acad Sci, Kotelnikov Inst Radio Engn & Elect, Moscow 125009, Russia

[2] Bauman State Tech Univ, Moscow 105005, Russia

[3] Russian Acad Sci, Sci & Technol Ctr Unique Instrumentat, Moscow 117342, Russia

来源：

JOURNAL OF COMMUNICATIONS TECHNOLOGY AND ELECTRONICS | 2019年 / 64卷 / 10期

关键词：

10;

D O I：

10.1134/S1064226919100036

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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

引用

页码：1095 / 1100

页数：6

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