Tourneret, Jean-Yves Statistical properties of line spectrum pairs. (1998) Signal Processing, 6 (2). 239-255. ISSN 0165-1684
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(Document in English)
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Official URL: http://dx.doi.org/10.1016/S0165-1684(97)00221-1
Abstract
An original method for computing the Probability Density Function (PDF) of the Line Spectrum Pair (LSP) coefficient vector as a function of the PDF of the AutoRegressive (AR) parameter vector is derived. Being linked by non-linear relations, AR parameters and LSP coefficients cannot both be Gaussian. This strict theoretical result could hide an approximately Gaussian distribution for the LSP parameters. Some distances between the LSP parameter PDF and its asymptotic Gaussian PDF are then studied. In a pattern recognition application, the LSP parameter statistics allow us to study the convexity of LSP point clusters, conditioned to each class: the LSP parameters seem to be attractive for pattern recognition when used with the centroid distance rule.
| Item Type: | Article |
|---|---|
| Additional Information: | This publication is available at http://www.sciencedirect.com/science/journal/01651684 |
| HAL Id: | hal-03485289 |
| Audience (journal): | International peer-reviewed journal |
| Uncontrolled Keywords: | |
| Institution: | Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE) Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE) French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE) |
| Laboratory name: | Institut de Recherche en Informatique de Toulouse - IRIT (Toulouse, France) - Signal et Communication - SC |
| Statistics: | download |
| Deposited On: | 05 Jan 2010 08:22 |
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