The hard thresholding pursuit algorithm in compressive sensing theory is widely used to recover sparse signal because of its good convergence. In this paper, combined with the conjugate gradient method, a modified conjugate gradient hard thresholding pursuit algorithm is proposed to accelerate the convergence speed of the traditional hard thresholding algorithm, and the theoretical proof of the convergence of the algorithm is given. Finally, numerical experiments such as signal recovery and image reconstruction demonstrate the validity of the proposed algorithm.

中文翻译：

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稀疏信号恢复的新共轭梯度硬阈值跟踪算法

压缩感知理论中的硬阈值追踪算法由于其良好的收敛性而被广泛用于恢复稀疏信号。结合共轭梯度法，提出了一种改进的共轭梯度硬阈值追踪算法，以提高传统硬阈值算法的收敛速度，并给出了算法收敛的理论证明。最后，数值实验如信号恢复和图像重建证明了该算法的有效性。