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Article Dans Une Revue Signal & Image Processing : An International Journal Année : 2023

Spectral Estimate for Stable Signals with P-Adic Time and Optimal Selection of Smoothing Parameter

Rachid Sabre
Walid Horrigue
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Résumé

The spectral density of stable signals with p-adic times is already estimated under various conditions. The estimate is made by constructing a periodogram that is subsequently smoothed by a spectral window. It is clear that the convergence rate of this estimator depends on the bandwidth of the spectral window (called the smoothing parameter). This work gives a method to select the smoothing parameter in an optimal way, i.e. the estimator converges to the spectral density with the bestrate. The method is inspired by the cross-validation method, which consists in minimizing the estimate of the integrated square error.
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Dates et versions

hal-04158343 , version 1 (11-07-2023)

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Rachid Sabre, Walid Horrigue. Spectral Estimate for Stable Signals with P-Adic Time and Optimal Selection of Smoothing Parameter. Signal & Image Processing : An International Journal, 2023, 14 (2/3), pp.1-9. ⟨10.5121/sipij.2023.14301⟩. ⟨hal-04158343⟩
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