Abstract:In countless applications, we need to reconstruct a K-sparse signal x ∈ R n from noisy measurements y = Φx + v, where Φ ∈ R m×n is a sensing matrix and v ∈ R m is a noise vector. Orthogonal least squares (OLS), which selects at each step the column that results in the most significant decrease in the residual power, is one of the most popular sparse recovery algorithms. In this paper, we investigate the number of iterations required for recovering x with the OLS algorithm. We show that OLS provides a stable re… Show more
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