Liner Prediction and DCT based De-noising of Speech Signal

The proposed algorithm adopts LP residual as one of the sparse representation of speech, considering it is feasible and advantageous, as analyzed in the previous section. To make full use of the sparsity of speech, DCT coefficients are also included to contribute as a measurement. The proposed algorithm aims to recover the clean speech, whose LP residual and DCT coefficients are both sparse, via solving an optimization problem under a series of constraints.