Abstract:

In the case of blind signal sparsity, in order to solve the problem of over-fitting which is caused by the termination conditions of OMP(Orthogonal Matching Pursuit) algorithm, an AOMP(Adptive Orthogonal Matching Pursuit) algorithm is proposed. It estimates reconstruction error of the original signal through additional observations in the iteration process. It adaptively determines the iteration corresponding to the best spectrum reconstruction by finding the minimum error point. Simulation results show that the proposed adaptive OMP algorithm can effectively improve signal reconstruction performance under low SNR and the reconstruction effect is as good as the case of known signal sparsity.

Key words: cognitive radio, wideband spectrum sensing, compressed sensing, adaptive orthogonal matching pursuit(AOMP) algorithm