Sampling spherical finite rate of innovation signals

Ivan Dokmanic; Yue M. Lu

ICASSP 2015accepted0 citations

Sampling spherical finite rate of innovation signals

Abstract

We propose a sampling scheme that can perfectly reconstruct a collection of spikes on the sphere from samples of their low-pass filtered observations. The proposed algorithm can reconstruct K spikes from (K + √K) <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> spatial samples, thus improving over previously known FRI sampling schemes on the sphere by a factor of up to 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.

BibTeX

@inproceedings{icassp2015_samplingspherica,
  title = {Sampling spherical finite rate of innovation signals},
  author = {Ivan Dokmanic and Yue M. Lu},
  booktitle = {ICASSP 2015},
  year = {2015}
}