In this work we describe a mathematical operator for the fast calculation of frequency warping. Such invertible transformation can be used to reshape the tiling of time- frequency analysis in a flexible way. In our approach the warping is computed by splitting the transformation operator in two additive terms: the first term represents its Nonuniform Fourier Transform approximation while the second term is imposed for aliasing suppression. The first transformation is known to be analytically characterized and rapidly computable by interpolation approaches. An analytical characterization of the second transformation operator is proposed for arbitrary shaped non-smooth warping maps commonly used for signal processing applications.
Fast Operators for Arbitrary Warping Maps / S. Caporale; L. De Marchi; N. Speciale. - ELETTRONICO. - (2008), pp. 1168-1171. (Intervento presentato al convegno IEEE International Symposium on Circuits and Systems 2008 (ISCAS 2008) tenutosi a Seattle, WA (USA) nel 18-21 May 2008) [10.1109/ISCAS.2008.4541631].
Fast Operators for Arbitrary Warping Maps
CAPORALE, SALVATORE;DE MARCHI, LUCA;SPECIALE, NICOLO'ATTILIO
2008
Abstract
In this work we describe a mathematical operator for the fast calculation of frequency warping. Such invertible transformation can be used to reshape the tiling of time- frequency analysis in a flexible way. In our approach the warping is computed by splitting the transformation operator in two additive terms: the first term represents its Nonuniform Fourier Transform approximation while the second term is imposed for aliasing suppression. The first transformation is known to be analytically characterized and rapidly computable by interpolation approaches. An analytical characterization of the second transformation operator is proposed for arbitrary shaped non-smooth warping maps commonly used for signal processing applications.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
