Fast n-D fourier-heisenberg transforms / Rundblad-Labunets E., Labunets V. // European Signal Processing Conference. - 2000. - V. 2015-March, l. March.

ISSN:
22195491
Type:
Conference Paper
Abstract:
We develop fast Fourier-Heisenberg number theoretical transforms on discrete 1-D and n-D Heisenberg groups (H[3, GF(p), GF(p)] and H[n + 2, GFn(p), GFn(p)]) and over an arbitrary commutative ring K, where GF(p) is the Galois field, p = qm and g is a prime. © 2000 EUSIPCO.
Author keywords:
Index keywords:
Discrete Fourier transforms; Fourier transforms; Signal processing; Commutative ring; Fast fourier; Fourier; Galois fields; Heisenberg; Heisenberg group; Fast Fourier transforms
DOI:
нет данных
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-84937054001&partnerID=40&md5=1a653ccebea12cd3b266119583776f7f
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Art. No. 7075770
Link https://www.scopus.com/inward/record.uri?eid=2-s2.0-84937054001&partnerID=40&md5=1a653ccebea12cd3b266119583776f7f
Affiliations Ural State Technical University, Department of Automation and Information Technologies, Ekaterinburg, Russian Federation
References Berman, S., Grushko, I., Theory of discrete signal processing (1984) Probl. Inf. Transm, 19, p. 284; Labunets, V.G., Fast Fourier transform for Generalized Dihedral groups (1985) Design Automatization Theory and Methods. Institute of Technical Cybernetics, , (in Russian).-In: BSSR SA Press: Minsk; Beth, T., (1984) Verfahren der Sehellen Fourier-Transformation, , Teubner: Stuttgart; Clausen, M., FFT for metabelian groups (1989) SI AM J. Gomp, 18, pp. 584-593; Clausen, M., Baum, U., (1993) Fast Fourier Transforms, , Wissen-schaftsverlag, Manheim; Maslen, D., Rockinore, D., Generalized FFT's-A survey of some recent results (1996) DIM AGS Ser. Discrete Math. Theoret. Comput. Sci., Groups and Computation, II, pp. 183-237. , L. Finkelstein and W. Kantor (eds); Curtis, C., Reiner, I., (1962) Representation Theory of Finite Groups and Associative Algebras, , Wiley: New York; Labunets, V.G., Superfast multidimensional Fourier-Radon transforms and multidimensional convolutions (1985) (In Russia). In: Statictical Methods of Signal Processing. IX All Union Siminar Information Theory, pp. 140-142. , Char'kov; Labunets, V.G., Fast mersereau-radon transform (1986) Numerical Methods in Control, Radar and Communication (in Russian), pp. 152-163. , Ural Polytechnical Institute Press: Sverdlovsk; Labunets, V.G., (1989) Algebraic Theory of Signals and Systems. Part II. Fast Multidimensional Fourier-Radon Transforms (In Russia), 196p. , Ural State University Press: Sverdlovsk; Labunets, V.G., Labunets, E.V., New fast algorithms of multidimensional fourier and radon transforms (1998) Proceedings of First Int. Workshop on Transforms and Filter Banks. Tampere, pp. 147-179. , Finland, June, TICSP N 1; Labunets, V.G., Labunets, E.V., Astola, L., Astola, J., Egiazarian, K., Fast algorithms of multidimensional discrete nonseparable /c-wave transforms and volterra filtering (1999) Transforms and Filter Banks. First Int. Workshop on Transforms and Filter Banks, p. 337366. , Brandenburg, Germany, March 5-7, TICSP N 4
Publisher European Signal Processing Conference, EUSIPCO
Conference name 2000 10th European Signal Processing Conference, EUSIPCO 2000
Conference date 4 September 2000 through 8 September 2000
Conference code 112800
Language of Original Document English
Abbreviated Source Title European Signal Proces. Conf.
Source Scopus