CONF Taghizadeh_ICASSP15_2015/IDIAP Robust Microphone Placement for Source Localization from Noisy Distance Measurements Taghizadeh, Mohammad J. Haghighatshoar, Saeid Asaei, Afsaneh Garner, Philip N. Bourlard, Hervé Generalized Trust Region Subproblem (GTRS). Robust microphone placement Source localization EXTERNAL https://publications.idiap.ch/attachments/papers/2015/Taghizadeh_ICASSP15_2015.pdf PUBLIC IEEE 40th International Conference on Acoustics, Speech and Signal Processing (ICASSP) 2015 IEEE 2579-2583 1520-6149 10.1109/ICASSP.2015.7178437 doi We propose a novel algorithm to design an optimum array geometry for source localization inside an enclosure. We assume a square-law decay propagation model for the sound acquisition so that the additive noise on the measured source-microphone distances is proportional to the distances regardless of the noise distribution. We formulate the source localization as an instance of the ``Generalized Trust Region Subproblem'' (GTRS) whose solution gives the location of the source. We show that by suitable selection of the microphone locations, one can tremendously decrease the noise-sensitivity of the resulting solution. In particular, by minimizing the noise-sensitivity of the source location in terms of sensor positions, we find the optimal noise-robust array geometry for the enclosure. Simulation results are provided to show the efficiency of the proposed algorithm.