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- 2Compressed sensing
- 2Random matrix
- 1Concentration of measure
- 1Convex geometry
- 1Multidimensional signal processing
- 1Permutation
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Parallel Sampling and Reconstruction with Permutation in Multidimensional Compressed Sensing
DownloadFall 2013
The advent of compressed sensing provides a new way to sample and compress signals. In this thesis, a parallel compressed sensing architecture is proposed, which samples a two-dimensional reshaped multidimensional signal column by column using the same sensing matrix. Compared to architectures...
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The Strong Restricted Isometry Property of Sub-Gaussian Matrices and the Erasure Robustness Property of Gaussian Random Frames
DownloadSpring 2016
In this thesis we will study the robustness property of sub-gaussian random matrices. We first show that the nearly isometry property will still hold with high probability if we erase a certain portion of rows from a sub-gaussian matrix, and we will estimate the erasure ratio with a given small...
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