Optimization Using Braun Multiplier and Ripple Carry Adder (RCA)

Abstract

This project presents the design and implementation of a Finite Impulse Response (FIR) filter using a Braun Multiplier and Ripple Carry Adder (RCA) for efficient digital signal processing applications. FIR filters are widely used in communication, audio processing, biomedical systems, and image enhancement because of their stability and linear phase characteristics. In this work, the Braun multiplier is used for multiplication operations due to its regular structure and area efficiency, while the RCA is utilized for accumulation because of its simplicity and low hardware complexity. The complete architecture is modeled using Verilog HDL and simulated using Xilinx ISE for functional verification and synthesis. The proposed design achieves reliable filtering performance with acceptable area utilization and moderate speed. Although the RCA introduces propagation delay, the architecture remains suitable for low-cost and low-power applications. Simulation results confirm correct signal processing behavior with stable output characteristics. The design provides a strong foundation for future optimization using advanced high-speed arithmetic units. Overall, the project demonstrates a balanced trade-off between hardware efficiency, simplicity, and computational accuracy in FIR filter implementation.