Paper Info
Title
Source localization and signal reconstruction in a reverberant field using the FDTD method
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.
Year
Venue
Keywords
2014
Signal Processing Conference
finite difference time-domain analysis,inverse problems,matrix algebra,optimisation,signal reconstruction,FDTD method,convex optimization problem,finite difference time domain method,inverse problem,linear equations,matrix formulation,microphones,reverberant field,signal reconstruction,source localization,source signal,spatial sparsity,two dimensional square room,two step method,FDTD,Room acoustics,source localization,source reconstruction,sparse approximation
Field
DocType
ISSN
Sound pressure,Mathematical optimization,Overdetermined system,Point source,Finite-difference time-domain method,Inverse problem,Room acoustics,Acoustics,Numerical analysis,Signal reconstruction,Mathematics
Conference
2076-1465
Citations 
PageRank 
References 
5
0.48
1
Authors
4
Name
Order
Citations
PageRank
Niccolo Antonello1172.12
Toon van Waterschoot215714.29
Marc Moonen33673326.91
Patrick A. Naylor41023117.31