Signal recovery processing method based on analytic sparse model

The invention discloses a signal recovery processing method based on an analytic sparse model, and belongs to the field of signal processing. The method comprises the following steps of firstly, building a signal sparse representation optimization model based on the analytic sparse model; then using a Lagrangian multiplier method to convert the signal sparse representation optimization model intoan unconstrained optimization model; then using an approximate first order method and removing constant terms to acquire a final optimization model; and at last performing optimized iteration in two layers until circulation ends to acquire the optimal approximate solution xt of an unknown signal x, and thus completing signal recovery. The innovative signal recovery processing method based on the analytic sparse model provided by the invention adopts the two-layer optimized iteration algorithm to achieve the signal recovery effect, can achieve signal denoising, deblurring and compressed sensing, and can be applied to t