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Fast Algorithms for Signal Reconstruction without Phase
Frames mutually unbiased bases equiangular frames projective 2-designs discrete chirps
2015/9/29
We derive fast algorithms for doing signal reconstruction without phase. This type of problem is important insignal processing, especially speech recognition technology, and has relevance for state to...
On signal reconstruction without phase
Frame Signal reconstruction Phase Speech recognition
2015/9/29
We will construct new classes of Parseval frames for a Hilbert space which allow signal reconstruction from theabsolute value of the frame coefficients. As a consequence, signal reconstruction can be ...
Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information
Random matrices free probability sparsity trigonometric expansions uncertainty principle convex optimization duality in optimization total-variation minimization image reconstruction linear programming
2015/6/17
This paper considers the model problem of reconstructing an object from incomplete frequency samples. Consider a discrete-time signal f ∈ CN and a randomly chosen set of frequencies Ω. Is it pos...