The SL0 algorithm for compressed sensing (CS) is a convex programming iterative reconstruction algorithm, which construct a smooth function to approximate the L0 norm and transform the NP-hard problem of minimization of the L0 norm into a convex optimization problem of the smooth function. Aiming at its shortcomings, this paper proposes a faster and more efficient reconstruction algorithm (CG-SL0), which uses the inverse trigonometric fraction function to approximate the L0 norm and uses the conjugate gradient method to achieve optimization. Experimental results show that, the CG-SL0 algorithm has significant advantages in reconstruction quality and performance under the same test conditions.
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