@inproceedings{9fa675365c27438d93a7a0e6af21e45c,
title = "Sparse recovery of spherical harmonic expansions from uniform distribution on sphere",
abstract = "We analyse the characteristics of spherical harmonics to derive a tighter bound on the minimum number of required measurements to accurately recover a sparse signal in spherical harmonic domain. We numerically show the coherence of spherical harmonic matrix can be reduced from a polynomial order of N 1/4 or N1/6 (both achieved by preconditioning) to a logarithmic order, i.e., log2(L) with respect to the degree of spherical harmonics L. Hence,{"} one can, with high probability, recover s-sparse spherical harmonic expansions from M ≥ s log3 N measurements ra.ndomly sampled from the uniform sin θ dθ d φ measure on sphere.",
author = "Alem, {Yibeltal F.} and {Akramus Salehin}, {S. M.} and Chae, {Daniel H.} and Kennedy, {Rodney A.}",
year = "2013",
doi = "10.1109/ICSPCS.2013.6723949",
language = "English",
isbn = "9781479913190",
series = "2013, 7th International Conference on Signal Processing and Communication Systems, ICSPCS 2013 - Proceedings",
publisher = "IEEE Computer Society",
booktitle = "2013, 7th International Conference on Signal Processing and Communication Systems, ICSPCS 2013 - Proceedings",
address = "United States",
note = "2013 7th International Conference on Signal Processing and Communication Systems, ICSPCS 2013 ; Conference date: 16-12-2013 Through 18-12-2013",
}