Noncommutative Algebra to Signal Processing

被引：0

作者：

Glazunov, Nikolaj ^{[1
]}

Yanovsky, Felix ^{[1
]}

机构：

[1] Natl Aviat Univ, Dept Elect, Kiev, Ukraine

来源：

2014 15TH INTERNATIONAL RADAR SYMPOSIUM (IRS) | 2014年

关键词：

digital signal processing; commutative group; character of the group; Pontryagin duality; convolution; discrite Fourier transform; noncommutative group; linear representation;

D O I：

暂无

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：

In this paper we review mathematical models and methods to digital signal processing and investigate some new problems which are connected with noncommutativity of corresponding algebraic structures. Most considerations relate to the theory of digital signal processing from group theoretic perspective.

引用

页数：4

共 9 条

[1] Borel A., 1991, LINEAR ALGEBRAIC GRO, V2nd ed.
[2] Clausen M., 1993, Fast Fourier Transforms
[3] Glazunov N. M., 2012, RAD METH SYST WORKSH, V2
[4] Categorification of Fourier transforms, efficient computation and computing intelligence
Glazunov, NM
[J]. NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 2004, 534 (1-2) : 324 - 328
[5] Moran W., 2001, 20 CENTURY HARMONIC, P93
[6] Morgan W., 2003, COMPUTATIONAL NONCOM, P339
[7] Pontryagin L.S., 1973, Continuous Groups
[8] Tolimieri R, 1997, MATH MULTIDIMENSIONA
[9] Yanovsky F., 2011, P 2011 MICR RAD REM

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