| Paper: | SPTM-P3.7 | ||
| Session: | Time-Frequency Distributions | ||
| Time: | Wednesday, May 19, 09:30 - 11:30 | ||
| Presentation: | Poster | ||
| Topic: | Signal Processing Theory and Methods: Non-stationary Signals & Time-Frequency Analysis | ||
| Title: | DIFFUSION EQUATIONS FOR ADAPTIVE AFFINE DISTRIBUTIONS | ||
| Authors: | Julien Gosme; Université de technologie de Troyes | ||
| Cédric Richard; Université de technologie de Troyes | |||
| Paulo Gonçalvès; INRIA Rhône-Alpes | |||
| Abstract: | In this paper, we propose an extension of the adaptive diffusion technique for time-frequency representations proposed by Payot and Gonçalvès in 1998. Instead of processing time-frequency representations and keeping the covariance with respect to time and frequency shifts untouched, our adaptive filtering technique processes time-scale representations of the affine class while preserving the covariance properties of such representations. In order to obtain representations with improved readability, we aim at removing cumbersome interference terms while not blurring the signal terms. We show that the association of a conductance function to our diffusion scheme can make significant improvement toward reaching this goal. Indeed a conductance function provides a way to adapt locally the amount of smoothing to the representation. Note that the adaptivity of this affine technique is not based on any waveform dictionary as matching pursuit algorithms. | ||
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