Noise reduction in signal processing using binary couplings

Abstract

We report a simple extension of a model for noise reduction in signal processing, already introduced by Mourik et al., in the presence of binary coupling vectors, which turns to be more useful for practical and engineering implementations. We also compute annealed approximation which gives an upper bound of the correct critical number of noise-sources. Finally, we also find that the full RSB Parisi solution just above the AT line is an universal function for any symmetric distribution of the coupling vectors.