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On Grid Compressive Sampling for Spherical Field Measurements in Acoustics
We derive a compressive sampling method for acoustic field reconstruction using field measurements on a predefined spherical grid that has theoretically guaranteed relations between signal sparsity, measurement number, and reconstruction accuracy.
Compressive Sensing with Wigner $D$-functions on Subsets of the Sphere
In this paper, we prove a compressive sensing guarantee for restricted measurement domains on the rotation group, $\mathrm{SO}(3)$.
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