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Conference Papers Year : 2021

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

Abstract

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.
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Dates and versions

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

Identifiers

  • HAL Id : hal-03298695 , version 1

Cite

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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