In this work we present a fast and accurate algorithm to compute frequency warping of arbitrary shaped maps. In contrast to the common Laguerre approach, frequency warping is represented by a matrix of truncated finite dimensions. The transformation matrix is decomposed in two additive terms: the first term represents its nonuniform Fourier transform approximation while the second term is imposed for aliasing suppression. Both matrices are approximated with a least square approach according to a suitable set of vectors. The cardinality of this set is shown to be nearly proportional to the logarithm of the matrix dimension. Finally, trade-off aspects between algorithm complexity and performance are discussed.

An Accurate Algorithm for Fast Frequency Warping

CAPORALE, SALVATORE;DE MARCHI, LUCA;SPECIALE, NICOLO'ATTILIO
2007

Abstract

In this work we present a fast and accurate algorithm to compute frequency warping of arbitrary shaped maps. In contrast to the common Laguerre approach, frequency warping is represented by a matrix of truncated finite dimensions. The transformation matrix is decomposed in two additive terms: the first term represents its nonuniform Fourier transform approximation while the second term is imposed for aliasing suppression. Both matrices are approximated with a least square approach according to a suitable set of vectors. The cardinality of this set is shown to be nearly proportional to the logarithm of the matrix dimension. Finally, trade-off aspects between algorithm complexity and performance are discussed.
Proc. of IEEE International Symposium on Circuits and Systems, 2007 (ISCAS 2007)
1811
1814
S. Caporale; L. De Marchi; N. Speciale
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/48907
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