Design of residue multipliers-accumulators using periodicity

The design of multiplier-accumulators (MACs) that could be used to build digital filters using the residue number system (RNS) is considered. The generalized architectures of residue MACs modulo A built using carry-save adders (CSAs) are proposed. Unlike some earlier designs, the MACs are not limited to the moduli A of the form (2degplusmn1) and 2deg, which hence provides a designer with more choices of moduli A that could be used to form an RNS with the required dynamic range.