Name
Abstract | ||
|---|---|---|
In this paper, we introduce an analytical approach for the frequency warping transform. Criteria for the design of operators based on arbitrary warping maps are provided and an algorithm carrying out a fast computation is defined. Such operators can be used to shape the tiling of time-frequency (TF) plane in a flexible way. Moreover, they are designed to be inverted by the application of their adjoint operator. According to the proposed model, the frequency warping transform is computed by considering two additive operators: the first one represents its nonuniform Fourier transform approximation and the second one suppresses aliasing. The first operator is fast computable by various interpolation approaches. A factorization of the second operator is found for arbitrary shaped nonsmooth warping maps. By properly truncating the operators involved in the factorization, the computation turns out to be fast without compromising accuracy. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1109/TSP.2009.2034323 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
Fourier transforms,signal processing,arbitrary shaped nonsmooth warping maps,arbitrary warping maps,frequency warping transforms,nonuniform Fourier transform approximation,time-frequency plane,Fast transforms,frequency warping | Mathematical optimization,Image warping,Interpolation,Fourier transform,Aliasing,Time–frequency analysis,Operator (computer programming),Mathematics,Wavelet transform,Computation | Journal |
Volume | Issue | ISSN |
58 | 3 | 1053-587X |
Citations | PageRank | References |
4 | 0.54 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| S. Caporale | 1 | 16 | 4.68 |
| Luca De Marchi | 2 | 37 | 13.21 |
| Nicolo Speciale | 3 | 22 | 6.35 |