Title :
Noncommutative algebra to signal processing
Author :
Glazunov, Nikolaj ; Yanovsky, Felix
Author_Institution :
Dept. of Electron., Nat. Aviation Univ., Kiev, Ukraine
Abstract :
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.
Keywords :
group theory; mathematical analysis; signal processing; algebraic structure noncommutativity; digital signal processing theory; group theoretic perspective; mathematical methods; mathematical models; Algebra; Convolution; Digital signal processing; Filtering theory; Finite element analysis; Fourier transforms; Radar; Pontryagin duality; character of the group; commutative group; convolution; digital signal processing; discrite Fourier transform; linear representation; noncommutative group;
Conference_Titel :
Radar Symposium (IRS), 2014 15th International
Conference_Location :
Gdansk
Print_ISBN :
978-617-607-552-3
DOI :
10.1109/IRS.2014.6869289
