Acoustical source reconstruction from non-synchronous sequential measurements

Abstract : A fundamental limitation of the inverse acoustic problem is determined by the size of the array and the microphone density. A solution to achieve large array and/or high microphone density is to scan the object of interest by moving sequentially a small prototype array, which is referred to as sequential measurements. In comparison to a large array and/or high microphone density array that can acquire simultaneously all the information of the spectral matrix, in particular all cross-spectra, sequential measurements can only acquire a block diagonal spectral matrix, while the cross-spectra between the sequential measurements remain unknown due to the missing phase relationships between consecutive positions. Nevertheless, these unknown cross-spectra are necessary for acoustic reconstruction. The object of this thesis is to recover the missing elements of the spectral matrix in the case that the acoustical field is highly coherent so as to implement the sequential measurements. Sparse eigenvalue spectrum are assumed to solve this problem, which lead to a structured low rank model and a weakly sparse eigenvalue spectrum model.
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Liang Yu. Acoustical source reconstruction from non-synchronous sequential measurements. Acoustics [physics.class-ph]. INSA de Lyon, 2015. English. ⟨NNT : 2015ISAL0023⟩. ⟨tel-01278482⟩

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