Journal of Computations & Modelling

An Efficient Nonconvex Regularization Method for Wavelet Frame Based Compressed Sensing Recovery

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  • Abstract

    In this paper, we propose a variation model which takes advantage of the wavelet tight frame and nonconvex shrinkage penalties for compressed sensing recovery. We address the proposed optimization problem by introducing a adjustable parameter and a firm thresholding operations. Numerical experiment results show that the proposed method outperforms some existing methods in terms of the convergence speed and reconstruction errors.

    JEL classification numbers: 68U10, 65K10, 90C25, 62H35.

    Keywords: Compressed Sensing, Nonconvex, Firm thresholding, Wavelet tight frame.