Reducing power dissipation in complex digital filters by using the quadratic residue number system

Abstract

This paper compares in terms of performance, area and power dissipation, a complex FIR filter realized in the traditional two's complement system with a Quadratic Residue Number System (QRNS) based one. The resulting implementations, designed to work at the same clock rate, show that the QRNS filter is almost half the size of the traditional one, and dissipates about one third of the energy.