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Stable Signal Recovery from Incomplete and Inaccurate Measurements
`1-minimization basis pursuit restricted orthonormality sparsity singular values of random matrices
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2015/6/17
Suppose we wish to recover a vector x0 ∈ Rm (e.g. a digital signal or image) from incomplete and contaminated observations y = Ax0 + e; A is a n by m matrix with far fewer rows than columns (n m) an...
PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming
Exact and Stable Signal Recovery Magnitude Measurements Convex Programming
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2015/6/17
Suppose we wish to recover a signal x ∈ Cn from m intensity measurements of the form |hx, zii|2, i = 1, 2, . . . , m; that is, from data in which phase information is missing. We prove that if the vec...