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  4. Sampling Spherical Finite Rate of Innovation Signals
 
conference paper

Sampling Spherical Finite Rate of Innovation Signals

Dokmanic, Ivan  
•
Lu, Yue M.
2015
Proceedings of the 40th International Conference on Acoustics, Speech, and Signal Processing
International Conference on Acoustics, Speech, and Signal Processing (ICASSP)

Sampling schemes on the sphere require O(L^2) samples to perfectly sample and reconstruct a signal with bandwidth L. If the signal in question is a low-pass observation of a finite collection of spikes or rotations of a known function, we can use less samples. We propose an algorithm that improves over the best known finite rate of innovation (FRI) sampling scheme on the sphere by a factor of approximately four. Further, we show how multiple sound source localization (SSL) by a spherical microphone array can be transformed into a spherical FRI sampling problem. We certify the effectiveness of the proposed algorithm by using it to solve the SSL problem.

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DokmanicL14.pdf

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http://purl.org/coar/version/c_970fb48d4fbd8a85

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