Sampling and Reconstruction of Spherical Signals for Applications in Cosmology, Acoustics and Beyond
The main focus of this thesis is using the existing spherical signal processing techniques to sample and reconstruct data under different application driven scenarios. The thesis consist of three major parts and the problems of sampling and reconstruction are discussed first. Then, the significance of signal processing techniques like spatial filtering are discussed in the field of acoustics. A sampling scheme is proposed for the representation of spin-$s$ band-limited functions on the sphere,...[Show more]
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