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Communication Dans Un Congrès Année : 2023

Smoothing Parameter Selection and Alpha-Stable P-Adic Time Signals

Rachid Sabre

Résumé

The estimation of the spectral density of stable p-adic signals is already done. Such estimation is based on smoothing the periodogram by using a spectral window. The convergence rate of this estimator depends on bandwidth of spectral window (called the smoothing parameter). The aim of this work is to give a technique for selecting the optimal parameter, i.e. the parameter that achieves the estimation with the best convergence rate. For that purpose, we were inspired by the cross-validation method of finding the optimal parameter. This method minimizes the integrated square error estimate.
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Dates et versions

hal-04158361 , version 1 (11-07-2023)

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Rachid Sabre, Walid Horrigue. Smoothing Parameter Selection and Alpha-Stable P-Adic Time Signals. 11th International Conference on Signal Image Processing and Multimedia, May 2023, Vancouver, Canada. pp.1-9, ⟨10.5121/csit.2023.130902⟩. ⟨hal-04158361⟩
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