Source localization in reverberant environments using sparse optimization

In this paper, we demonstrate that recently-developed sparse recovery algorithms can be used to improve source localization in reverberant environments. By formulating the localization problem in the frequency domain, we are able to efficiently incorporate information that exploits the reverberation instead of considering it a nuisance to be eliminated. In this formulation, localization becomes a joint-sparsity support recovery problem which can be solved using model-based methods. We also develop a location model which further improves performance. Using our approach, we are able to recover more sources that the number of sensors. In contrast to conventional wisdom, we demonstrate that reverberation is beneficial in source localization, as long as it known and properly accounted for.