Performance Analysis of Vedic Multiplier with Different Square Root BK Adders

Multiplication is the main basic operation used by many of the digital signal processor (DSP) and vector processors. DSP application repeatedly performs the operations like signal processing, filtering, processing of discrete signal data, and radar signal processing and use intensive fast Fourier transform (FFT) operations. FFT computation uses butterfly structures, where multiplication is the basic operation. DSPs have to execute a large number of instructions per second, which in turn uses so many FFT computations, and hence, the multiplication operation decides the performance of DSP. Designing a high-performance multiplier improves the overall performance of the processor. Many multiplier architectures have been proposed in the past few decades with the attractive performance, power consumption, delay, area, throughput, etc., and the most acceptable multiplier among them is the Vedic multiplier. When high performance is necessary, Vedic multiplier will be the best choice. Operation of Vedic multiplier is based on ancient Vedic mathematics. This earlier multiplier has been modified to improve the performance. There are 16 sutras for the multiplication operation in this method. These sutras are used to solve large range of multiplication problems in a natural way. This method of multiplication is based on Urdhva Triyagbhyam sutra, which means horizontal and cross-wire technique of multiplication operation. This method uses partial product generation in parallel and eliminates the unwanted steps with zero. Urdhva Triyagbhyam sutra is an efficient sutra which enhances the execution speed of the multiplier by minimizing the delay. This work describes the overall performance of the Vedic multiplier with different high-speed adders like regular square root BK adder (RSRBKA), Modified square root BK adder (MSRBKA) and proposed optimized square root BK adder (OSR-BK-A). The proposed designs are simulated and synthesized in Xilinx ISE 14.7, and the results are tabulated.