Nonlinear signal solitaire / Rundblad-Labunets E., Astola L., Labunets V., Astola J., Egiazarian K. // Proceedings of SPIE - The International Society for Optical Engineering. - 2000. - V. 3961, l. . - P. 104-105.

ISSN:

0277786X

Type:

Conference Paper

Abstract:

Integral transforms and the signal representations associated with them are important tools in applied mathematics and signal theory. The Fourier transform and the Laplace transform are certainly the best known and most commonly used integral transforms. However, the Fourier transform is just one of many ways of signal representation and there are many other transforms of interest. In the past 20 years, other analytical methods have been proposed and applied, for example, wavelet, Walsh, Legandre, Hermite, Gabor, fractional Fourier analysis, etc. Regardless of their particular merits they are not as useful as the classical Fourier representation that is closely connected to such powerful concepts of signal theory as linear and nonlinear convolutions, classical and high-order correlations, invariance with respect to shift, ambiguity and Wigner distributions, etc. To obtain the general properties and important tools of the classical Fourier transform for an arbitrary orthogonal transform we associate to it generalized shift operators and develop the theory of abstract harmonic analysis of signals and linear and nonlinear systems that are invariant with respect to these generalized shift operators.

Author keywords:

Index keywords:

Fourier transforms; Harmonic analysis; Mathematical operators; Generalized shift operators; Volterra operators; Signal processing

DOI:

нет данных

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0033903758&partnerID=40&md5=6ac555ac308e5105a640f480d357353a

Соавторы в МНС:

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Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-0033903758&partnerID=40&md5=6ac555ac308e5105a640f480d357353a
Affiliations	Tampere Univ of Technology, Tampere, Finland
Correspondence Address	Rundblad-Labunets, E.; Tampere Univ of Technology, Tampere, Finland
Sponsors	Is and T;SPIE
Publisher	Society of Photo-Optical Instrumentation Engineers, Bellingham, WA, United States
Conference name	Nonlinear Image Processing XI
Conference date	24 January 2000 through 25 January 2000
Conference location	San Jose, CA, USA
Conference code	56680
CODEN	PSISD
Language of Original Document	English
Abbreviated Source Title	Proc SPIE Int Soc Opt Eng
Source	Scopus