Source localization and signal reconstruction in a reverberant field using the FDTD method. Antonello, N., Van Waterschoot, T., Moonen, M., & Naylor, P. A. In *2014 22nd European Signal Processing Conference (EUSIPCO)*, pages 301-305, Sep., 2014.

Paper abstract bibtex

Paper abstract bibtex

Numerical methods applied to room acoustics are usually employed to predict the sound pressure at certain positions generated by a known source. In this paper the inverse problem is studied: given a number of microphones placed in a room, the sound pressure is known at these positions and this information may be used to perform a localization and signal reconstruction of the sound source. The source is assumed to be spatially sparse meaning it can be modeled as a point source. The finite difference time domain method is used to model the acoustics of a simple two dimensional square room and its matrix formulation is presented. A two step method is proposed. First a convex optimization problem is solved to localize the source while exploiting its spatial sparsity. Once its position is known the source signal can be reconstructed by solving an overdetermined system of linear equations.

@InProceedings{6952059, author = {N. Antonello and T. {Van Waterschoot} and M. Moonen and P. A. Naylor}, booktitle = {2014 22nd European Signal Processing Conference (EUSIPCO)}, title = {Source localization and signal reconstruction in a reverberant field using the FDTD method}, year = {2014}, pages = {301-305}, abstract = {Numerical methods applied to room acoustics are usually employed to predict the sound pressure at certain positions generated by a known source. In this paper the inverse problem is studied: given a number of microphones placed in a room, the sound pressure is known at these positions and this information may be used to perform a localization and signal reconstruction of the sound source. The source is assumed to be spatially sparse meaning it can be modeled as a point source. The finite difference time domain method is used to model the acoustics of a simple two dimensional square room and its matrix formulation is presented. A two step method is proposed. First a convex optimization problem is solved to localize the source while exploiting its spatial sparsity. Once its position is known the source signal can be reconstructed by solving an overdetermined system of linear equations.}, keywords = {finite difference time-domain analysis;inverse problems;matrix algebra;optimisation;signal reconstruction;source localization;signal reconstruction;reverberant field;FDTD method;inverse problem;microphones;finite difference time domain method;two dimensional square room;matrix formulation;two step method;convex optimization problem;spatial sparsity;source signal;linear equations;Finite difference methods;Microphones;Time-domain analysis;Equations;Vectors;Mathematical model;Signal reconstruction;Room acoustics;FDTD;source localization;source reconstruction;sparse approximation}, issn = {2076-1465}, month = {Sep.}, url = {https://www.eurasip.org/proceedings/eusipco/eusipco2014/html/papers/1569922233.pdf}, }

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