Nonlinear Volterra-Weyl transforms / 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. 92-103.

ISSN:

0277786X

Type:

Conference Paper

Abstract:

It is well known that nonlinear time-invariant filtering may be viewed as a nonlinear superposition of time-shifted versions of the input signal, that is described as a time invariant Volterra convolution. Nonlinear superposition of time- and frequency shifted versions of the input signal is called Volterra-Weyl convolution. In the present paper, we associate with each orthogonal transform (Legandre, Hermite, Laguerre, Walsh, Haar, Gabor, fractional Fourier, wavelet etc) a family of generalized shift operators. Using them we construct a nonlinear superposition of generalized time-shifted versions of the input signal. We call such a superposition a generalized Volterra-Weyl convolution (VWC). Particular cases of the VWC are nonlinear Gabor and Zak transformations, generalized higher-order Wigner distribution and ambiguity functions.

Author keywords:

Index keywords:

Image analysis; Mathematical models; Mathematical operators; Mathematical transformations; Nonlinear filtering; Generalized shift operators; Volterra operators; Volterra-Weyl transforms; Volterra-Wign

DOI:

нет данных

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0033877810&partnerID=40&md5=37c367e5a2383261f043595fd4ecb5ac

Соавторы в МНС:

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Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-0033877810&partnerID=40&md5=37c367e5a2383261f043595fd4ecb5ac
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