Joint sparsity models for wideband array processing

Petros T. Boufounos; Paris Smaragdis; Bhiksha Raj

doi:10.1117/12.893870

27 September 2011 Joint sparsity models for wideband array processing

Petros T. Boufounos, Paris Smaragdis, Bhiksha Raj

Proceedings Volume 8138, Wavelets and Sparsity XIV; 81380K (2011) https://doi.org/10.1117/12.893870
Event: SPIE Optical Engineering + Applications, 2011, San Diego, California, United States

Abstract

Recent work has demonstrated the power of sparse models and representations in signal processing applications and has provided the community with computational tools to use it. In this paper we explore the use of sparsity in localization and beamforming when capturing multiple broadband sources using a sensor array. Specifically, we reformulate the wideband signal acquisition as a joint/group sparsity problem in a combined frequency-space domain. Under this formulation the signal is sparse in the spatial domain but has common support in all frequencies. Using techniques from the model-based compressive sensing literature we demonstrate that it is possible to robustly capture, localize and often reconstruct multiple signals present in the scene.

Citation Download Citation

Petros T. Boufounos, Paris Smaragdis, and Bhiksha Raj "Joint sparsity models for wideband array processing", Proc. SPIE 8138, Wavelets and Sparsity XIV, 81380K (27 September 2011); https://doi.org/10.1117/12.893870

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