A computer-implemented method for decompression in data compression systems with decoder side-information including a plurality of signals each of which is correlated to a source, includes determining a conditional probability function of the source conditioned upon a subset of decoder side-information signals, wherein the decoder side-information signals include pre-stored and received statistical information, estimating an a-posteriori probability function based on the conditional probability function and extrinsic information, evaluating a stopping criterion for decompression, generating the extrinsic information based on the a-posteriori probability function, and determining a likelihood threshold for determining a most probable value of a quantized source signal based on the a-posteriori probability function and outputting the quantized source upon determining to stop decompression.