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Compressed-Sensing

This repository will be focussed on some codes for deterministic construction of compressed sensing matrices and possibly some random matrices for comparison.

Devore's Matrix

The first code is the construction of DeVore's matrix using finite fields. There exists a better (circulant) version of this matrix but I still need to figure that out in an optimal way.

PV Expander Matrix

This is a great breakthrough in deterministic compressed sensing because s = O(m^{1-a}) for any a>0. And there is a lot of freedom in choice of m and N. For the linear order, however, large N is required. The code provides s = M^{2/3} / 5 which is not quite bad.

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