TY - GEN
T1 - Signal concentration on unit sphere
T2 - 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010
AU - Wei, Liying
AU - Kennedy, Rodney A.
AU - Lamahewa, Tharaka A.
PY - 2010
Y1 - 2010
N2 - Signals defined on the unit sphere cannot be simultaneously concentrated in a spatial region and in the spherical harmonic spectrum. In this paper we develop a unique spatial concentration measure, a kth moment azimuthal measure, for real-valued spectral-limited signals defined on the unit sphere. The optimal functions with the 2nd and 4th minimum azimuthally moment weighting are obtained and simulation results show: 1) the waveforms tend to be even as k increases, 2) have good energy concentration in the spatial region, and 3) have better decaying tails than spherical Slepian functions, which form the benchmark set of basis functions for spherical filter design.
AB - Signals defined on the unit sphere cannot be simultaneously concentrated in a spatial region and in the spherical harmonic spectrum. In this paper we develop a unique spatial concentration measure, a kth moment azimuthal measure, for real-valued spectral-limited signals defined on the unit sphere. The optimal functions with the 2nd and 4th minimum azimuthally moment weighting are obtained and simulation results show: 1) the waveforms tend to be even as k increases, 2) have good energy concentration in the spatial region, and 3) have better decaying tails than spherical Slepian functions, which form the benchmark set of basis functions for spherical filter design.
KW - Azimuthally moment measure
KW - Cosmic microwave background (CMB)
KW - Out-of-band energy (FOBE)
KW - Spherical filter
KW - Spherical wavelet
UR - http://www.scopus.com/inward/record.url?scp=78049404462&partnerID=8YFLogxK
U2 - 10.1109/ICASSP.2010.5495878
DO - 10.1109/ICASSP.2010.5495878
M3 - Conference contribution
SN - 9781424442966
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 3698
EP - 3701
BT - 2010 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2010 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 14 March 2010 through 19 March 2010
ER -