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cs.IT2012★ 30 cited
Sparse Signal Recovery from Quadratic Measurements via Convex Programming
Xiaodong Li, Vladislav Voroninski
In this paper we consider a system of quadratic equations |<z_j, x>|^2 = b_j, j = 1, ..., m, where x in R^n is unknown while normal random vectors z_j in R_n and quadratic measurem…
cs.IT2012★ 20 cited
Solving Quadratic Equations via PhaseLift when There Are About As Many Equations As Unknowns
Emmanuel J. Candes, Xiaodong Li
This note shows that we can recover a complex vector x in C^n exactly from on the order of n quadratic equations of the form |<a_i, x>|^2 = b_i, i = 1, ..., m, by using a semidefin…