Kennedy, Rodney; Zhang, Wen; Abhayapala, Thushara
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...[Show more]
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