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2016

Sampling Sparse Signals on the Sphere: Algorithms and Applications

3 years 7 months ago
Sampling Sparse Signals on the Sphere: Algorithms and Applications
Abstract—We propose a sampling scheme that can perfectly reconstruct a collection of spikes on the sphere from samples of their lowpass-filtered observations. Central to our algorithm is a generalization of the annihilating filter method, a tool widely used in array signal processing and finite-rate-of-innovation (FRI) sampling. The proposed algorithm can reconstruct spikes from spatial samples. For large , this sampling requirement improves over previously known FRI sampling schemes on the sphere by a factor of four. We showcase the versatility of the proposed algorithm by applying it to three problems: 1) sampling diffusion processes induced by localized sources on the sphere, 2) shot noise removal, and 3) sound source localization (SSL) by a spherical microphone array. In particular, we show how SSL can be reformulated as a spherical sparse sampling problem.
Ivan Dokmanic, Yue M. Lu
Added 11 Apr 2016
Updated 11 Apr 2016
Type Journal
Year 2016
Where TSP
Authors Ivan Dokmanic, Yue M. Lu
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