An improved smoothed L0 norm block sparse signal recovery algorithm

In this paper, a smoothed LO norm (SLO) block sparse signal reconstruction algorithm based on negative exponential function is proposed. Firstly, the negative exponential function is constructed as the cost function, and the optimal value of the cost function is solved by constructing the sequence of control parameters. Secondly, add a comparison correction step to ensure that the search direction follows the fastest descent direction. Finally, the gradient projection method is applied to solve the optimal solution. The simulation results show that the proposed algorithm has the better reconstruction effect.