TY - GEN
T1 - Spherical harmonic analysis and model-limited extrapolation on the sphere
T2 - 2nd International Conference on Signal Processing and Communication Systems, ICSPCS 2008
AU - Kennedy, Rodney A.
AU - Zhang, Wen
AU - Abhayapala, Thushara D.
PY - 2008
Y1 - 2008
N2 - The classical problem of extrapolation of a bandlimited signal from limited time domain data is revisited for signals defined on the sphere. That is, given limited or incomplete measurements of a low pass signal on the unit sphere, find the unique extrapolation to the complete unit sphere. Signals defined on the unit sphere arise in a number of applications, such as beampatterns in azimuth and elevation and head related transfer functions. Our investigations explore the role of integral equation operators in characterizing the extrapolation problem which leads to an iterative algorithm analogous to that obtained in the time-frequency case.
AB - The classical problem of extrapolation of a bandlimited signal from limited time domain data is revisited for signals defined on the sphere. That is, given limited or incomplete measurements of a low pass signal on the unit sphere, find the unique extrapolation to the complete unit sphere. Signals defined on the unit sphere arise in a number of applications, such as beampatterns in azimuth and elevation and head related transfer functions. Our investigations explore the role of integral equation operators in characterizing the extrapolation problem which leads to an iterative algorithm analogous to that obtained in the time-frequency case.
KW - Extrapolation
KW - Integral equations
KW - Isotropic low pass signals
KW - Iterative algorithms
KW - Spherical harmonic analysis
UR - http://www.scopus.com/inward/record.url?scp=67649641334&partnerID=8YFLogxK
U2 - 10.1109/ICSPCS.2008.4813702
DO - 10.1109/ICSPCS.2008.4813702
M3 - 会议稿件
AN - SCOPUS:67649641334
SN - 9781424442423
T3 - 2nd International Conference on Signal Processing and Communication Systems, ICSPCS 2008 - Proceedings
BT - 2nd International Conference on Signal Processing and Communication Systems, ICSPCS 2008 - Proceedings
Y2 - 15 December 2008 through 17 December 2008
ER -