Designing RNS-based FIR filter with Optimal area, Delay, and Power via the use of Swift Adders and Swift Multipliers

Based on the Residue Number System (RNS), Finite Impulse Response filters have gained prominence in digital signal processing due to their efficiency in handling complex computations. This work presents a comprehensive analysis on optimizing area, delay, and power in the FIR filter by exploring different adders and multipliers. Three prominent adders, namely Ripple Carry Adder, Kogge Stone Adder, and Proposed Adder, are evaluated for their impact on area and delay. The choice of adder influences the overall performance of the FIR filter, and a careful selection is made based on the trade-offs between area and delay. Furthermore, various multipliers, including Booth, Baugh-Wooley, Braun, and Array, are compared in terms of their efficiency in power consumption. Multipliers contribute significantly to the overall power consumption, and the analysis involves selecting the most suitable multiplier for achieving the desired power optimization. The various arrangements of swift adders and swift multipliers were suggested and executed in the Finite Impulse Response (FIR) filter and then the RNS algorithm was applied to it. The comparison of 8-tap 8-bit of the proposed adder with the array multiplier shows that the area is reduced by 52.70% with other combinations and by comparing the RCA adder with the array multiplier, the critical path delay is reduced by 38.51% and the maximum frequency is produced by the KSA adder with Braun multiplier which is increased by 29.78% with other combinations.