Design of FIR filter with Fast Adders and Fast Multipliers using RNS Algorithm
M. Balaji, N. Padmaja, P Gitanjali, Saif Ali Shaik, Siva Kumar P, Sai Geetesh R · 2023
The primary driving force behind the creation of this work was to provide the design and implementation of a 4-tap, 8-tap, 16-tap, 32-tap, and 64-tap RNS (Residue Number System) based on efficient and excessive-overall performance FIR filter. RNS mathematics is a prized tool for theoretical investigation of the speed limitations of rapid mathematics. Some suggested solutions also include a few addition operations; however, using conventional adders will slow down operation and add to the amount of logic gates. So, to address the aforementioned concerns, Kogge-Stone Adder and Brent Kung Adder are being used to reduce delay and area and enhance performance as a whole. First, the multiplier is created using the RNS methodology. In which the Vedic multiplier's power dissipation is also minimized while the latency is shortened from 70% to 90%. In order to assess the findings, we are also using a simple adder and a simple multiplier. Using the Quartus 9.0 Simulation Tool, the combination of those methods results in a completely new structure with an excessively high speed and a small implementation area for the FIR filter.