The application discloses a
sky wave over-the-
horizon radar clutter suppression method based on low rank group sparse representation, comprising the following steps: S1, according to the characteristic analysis of echo signals, the regularization constraint is carried out on each component of the echo signals, and the equality constraint is carried out through a discrete Fourier matrix, so as to construct a target function; S2, the equality constraint of the target function is eliminated through an augmented Lagrange function; S3, the regularization parameter of the target function is initialized and set, and the iteration convergence condition of an
algorithm is set; S4, for an unconstrained convex
optimization problem, all variables to be solved are updated alternately until the iteration converges, and the result after the
clutter component is eliminated is obtained, so that the
clutter suppression is realized. The application distinguishes each component of the echo signals by using the low rank, column sparsity and group sparsity, and carries out the constraint by using the nuclear norm, the norm, the group
sparse regularization term and the Frobenius norm, and the solution is carried out through a convex optimization
algorithm framework, so that the ground sea clutter can be effectively suppressed, and the
target signal-to-
noise ratio is improved.