On the topic of frequency dependent exponential decay matrices and Lie groups

This document is an annex of the paper [1], providing mathematical proofs of theorems that we use in the paper. More specifically, we will prove that the set P, of which we recall the definition in Section 1, is a matrix Lie group in Section 2 and that we can swap matrices of P with lower triangular Toeplitz matrices in Section 3.

Mots clés

Reverberation room impulse response probabilistic modeling expectation-maximization algorithm artificial reverberation

Domaines

Traitement du signal et de l'image [eess.SP]

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Waspaa_2021.pdf (663.28 Ko)

P-Lie-group.pdf (197.46 Ko)

Origine	Fichiers produits par l'(les) auteur(s)

Achille Aknin : Connectez-vous pour contacter le contributeur

https://hal.science/hal-03298695

Soumis le : mercredi 28 juillet 2021-20:40:29

Dernière modification le : mercredi 23 octobre 2024-10:30:04

Archivage à long terme le : vendredi 29 octobre 2021-18:05:36

Dates et versions

hal-03298695 , version 1 (28-07-2021)

Identifiants

HAL Id : hal-03298695 , version 1

Citer

Achille Aknin, Roland Badeau. On the topic of frequency dependent exponential decay matrices and Lie groups. IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, Oct 2021, New Paltz, NY, United States. ⟨hal-03298695⟩

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