Moduli Set Selection and Cost Estimation for RNS-Based FIR Filter and Filter Bank Design

Moduli selection is one of the most important issues in the implementation of systems that make use of residue number systems. In this paper, we describe a software tool that assists system designers in moduli selection for the design of RNS-based FIR filters and filter banks. According to some filter specification parameters, the software tool constructs valid moduli sets and calculates their estimated implementations cost in terms of delay, area and power consumption based on results obtained in logic synthesis. Moduli set that is most suitable for the user requirements is selected, together with the estimated cost, to be the output. Outputs of the software tool also indicate that certain level of trade-off among delay, area and power consumption exists for the RNS-based filter and filter bank implementation by using different moduli sets.