Sensing Matrix Design and Sparse Recovery on the Sphere and the Rotation Group

@article{Bangun2020SensingMD,
  title={Sensing Matrix Design and Sparse Recovery on the Sphere and the Rotation Group},
  author={Arya Bangun and Arash Behboodi and Rudolf Mathar},
  journal={IEEE Transactions on Signal Processing},
  year={2020},
  volume={68},
  pages={1439-1454}
}
In this article, the goal is to design deterministic sampling patterns on the sphere and the rotation group and, thereby, construct sensing matrices for sparse recovery of band-limited functions. It is first shown that random sensing matrices, which consists of random samples of Wigner D-functions, satisfy the Restricted Isometry Property (RIP) with proper preconditioning and can be used for sparse recovery on the rotation group. The mutual coherence, however, is used to assess the performance… 
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