Ad Hoc Microphone Array Calibration: Euclidean Distance Matrix Completion Algorithm and Theoretical Guarantees
| Autor: | Philip N. Garner, Reza Parhizkar, Afsaneh Asaei, Hervé Bourlard, Mohammad J. Taghizadeh |
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| Rok vydání: | 2014 |
| Předmět: |
FOS: Computer and information sciences
Mathematical optimization Microphone array Sound (cs.SD) Calibration (statistics) Euclidean distance matrix Computer Science - Sound Ad hoc microphone array calibration Machine Learning (cs.LG) Matrix (mathematics) Projection (mathematics) Diffuse noise coherence model Electrical and Electronic Engineering EDM cone Mathematics Matrix completion Euclidean distance matrix completion Euclidean distance Noise Computer Science - Learning Control and Systems Engineering Signal Processing Computer Vision and Pattern Recognition Cadzow algorithm Algorithm Software |
| ISSN: | 0165-1684 |
| DOI: | 10.48550/arxiv.1409.0203 |
| Popis: | This paper addresses the problem of ad hoc microphone array calibration where only partial information about the distances between microphones is available. We construct a matrix consisting of the pairwise distances and propose to estimate the missing entries based on a novel Euclidean distance matrix completion algorithm by alternative low-rank matrix completion and projection onto the Euclidean distance space. This approach confines the recovered matrix to the EDM cone at each iteration of the matrix completion algorithm. The theoretical guarantees of the calibration performance are obtained considering the random and locally structured missing entries as well as the measurement noise on the known distances. This study elucidates the links between the calibration error and the number of microphones along with the noise level and the ratio of missing distances. Thorough experiments on real data recordings and simulated setups are conducted to demonstrate these theoretical insights. A significant improvement is achieved by the proposed Euclidean distance matrix completion algorithm over the state-of-the-art techniques for ad hoc microphone array calibration. Comment: In Press, available online, August 1, 2014. http://www.sciencedirect.com/science/article/pii/S0165168414003508, Signal Processing, 2014 |
| Databáze: | OpenAIRE |
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