Analytical computation of fast frequency warping

Author

Caporale, Salvatore ; De Marchi, Luca ; Speciale, Nicolò

Author_Institution

ARCES/DEIS, Univ. of Bologna, Bologna

fYear

2008

fDate

March 31 2008-April 4 2008

Firstpage

3793

Lastpage

3796

Abstract

In this work we introduce an analytical characterization of the frequency warping operator of arbitrary shaped non-smooth warping maps. 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. The first transformation is known to be analytically characterized and fast computable by an interpolation approach. For the second transformation an analytical representation is introduced which allows a fast computation and a simple design. Finally, an example of a potential application is shown.

Keywords

Fourier transforms; approximation theory; interpolation; matrix decomposition; signal processing; aliasing suppression; analytical computation; arbitrary shaped nonsmooth warping maps; fast frequency warping; interpolation approach; nonuniform Fourier transform approximation; transformation matrix decomposition; Amplitude modulation; Analytical models; Discrete Fourier transforms; Fourier transforms; Frequency modulation; Interpolation; Matrix decomposition; Signal processing; Signal processing algorithms; Time frequency analysis; Frequency warping; fast transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech and Signal Processing, 2008. ICASSP 2008. IEEE International Conference on

Conference_Location

Las Vegas, NV

ISSN

1520-6149

Print_ISBN

978-1-4244-1483-3

Electronic_ISBN

1520-6149

Type

conf

DOI

10.1109/ICASSP.2008.4518479

Filename

4518479