A comparison of FIR filter implementations based on two´s complement and residue number arithmetic

Two FIR filter designs based on residue number arithmetic (RNA) are presented and compared with a conventional design based on two´s complement arithmetic (TCA). For the RNA based designs the arithmetic operations are implemented by means of small RAM and ROM look-up tables. The cascadeable and programmable ASICs, which can be configured as either 4-tap or 8-tap FIR filters, have been designed to the same functional specifications. The designs have been carried out using the MOSIS CMOSN 1.2 μm technology, standard cell library, and memory compilers. Simulation and layout results for the selected FIR filter architectures indicate that the design based on TCA has the highest throughput and smallest area