Overlap resolution: arithmetic with continuous valued digits in hybrid architectures

Overlap resolution signal processing opens up a powerful approach to parallel analog computations with digital accuracy. This new redundant representation of signals, with continuous valued digits, carries the accuracy of analog signal processing beyond the accuracy of the analog circuitry itself. The proposed processing methodology can also be applied to an all digital system. Due to the residue nature of the analog digits, addition is residue-like and resembles carry save structures, yet it is implemented with analog circuitry. Familiar array multiplying structures are applied for multiplication when the multiplicand is overlap resolution and the multiplier is a positional number.