Enhancing error localization of DFT codes by weighted ℓ1-norm minimization

We consider the problem of decoding of real BCH discrete Fourier transform codes (RDFT) which are considered for joint source channel codes to provide robustness against errors in communication channels. In this paper, we propose to combine the subspace based algorithm like MUSIC algorithm with ℓ₁-norm minimization algorithm, which is promoted as a sparsity solution functional, to enhance the error localization of RDFT codes. Simulation results show that the combined algorithm performs better over the performances of these individual algorithms.