Abstract
We propose a modified sequential quadratic programming method for solving the sparse signal recovery problem. We start by going through the well-known smoothed-ℓ0 technique and provide a smooth approximation of the objective function. Then, a variant of the sequential quadratic programming method equipped with a new approach for solving subproblems is proposed. We investigate the global convergence of the method in detail. In comparison to several well-known algorithms, simulation results demonstrate the promising performance of the proposed method.
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