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@ARTICLE{Taghizadeh_SIGPRO-2_2014,
         author = {Taghizadeh, Mohammad J. and Parhizkar, Reza and Garner, Philip N. and Bourlard, Herv{\'{e}} and Asaei, Afsaneh},
       projects = {Idiap, IM2},
          month = feb,
          title = {Ad Hoc Microphone Array Calibration: Euclidean Distance Matrix Completion Algorithm and Theoretical Guarantees},
        journal = {Signal Processing},
         volume = {107},
           year = {2015},
          pages = {123–140},
            doi = {10.1016/j.sigpro.2014.07.016},
       abstract = {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.},
            pdf = {https://publications.idiap.ch/attachments/papers/2014/Taghizadeh_SIGPRO-2_2014.pdf}
}