High-Performance FIR Filter Implementation Using Anurupye Vedic Multiplier

In this, today’s world immeasurable analysis goes within the field of communication and signal processing applications. The FIR filter is mostly employed in filtering applications to enhance the quality of the signal. In any processor, the performance of the system is based on the speed of the multiplier unit involved in its operation. Since multiplier forms the indispensable building blocks of the FIR filter system. Its performance has contributed in determining the execution of the FIR filter system. Also, due to the tremendous development in the technology, many approaches such as an array, Vedic methods are made to speed up the multiplier computations. The problem in speed-up operation and resource utilization of hardware with all the conventional methods due to the critical path found in partial products has to be optimized using proposed method. This paper presents the implementation and execution of a FIR Filter design using Anurupye multiplier. Here the FIR filter is examined by using various multiplier algorithms such as Anurupye, Urdhava Tiryagbhyam, and array multipliers. The FIR filter is simulated for analyzing delay;area and power are meted out and lessened by utilizing proposed Anurupye multiplier. The FIR filter design utilizing proposed multiplier offers delay around 18.99 and only 4% of LUT slice utilization compared to existing methods. This architecture is coded in VHDL, simulated using the ModelSim and synthesized with Xilinx.

Optimization of Quantum Cost for Low Energy Reversible Signed/Unsigned Multiplier Using Urdhva-Tiryakbhyam Sutra

One of the elementary operations in computing systems is multiplication.Therefore,high-speed and low-power multipliers design is mandatory for efficient computing systems.In designing low-energy dissipation circuits,reversible logic is more efficient than irreversible logic circuits but at the cost of higher complexity.This paper introduces an efficient signed/unsigned 4×4 reversible Vedic multiplier with minimum quantum cost.The Vedic multiplier is considered fast as it generates all partial product and their sum in one step.This paper proposes two reversible Vedic multipliers with optimized quantum cost and garbage output.First,the unsigned Vedic multiplier is designed based on the Urdhava Tiryakbhyam(UT)Sutra.This multiplier consists of bitwise multiplication and adder compressors.Compared with Vedic multipliers in the literature,the proposed design has a quantum cost of 111 with a reduction of 94%compared to the previous design.It has a garbage output of 30 with optimization of the best-compared design.Second,the proposed unsigned multiplier is expanded to allow the multiplication of signed numbers as well as unsigned numbers.Two signed Vedic multipliers are presented with the aim of obtaining more optimization in performance parameters.DesignI has separate binary two’s complement(B2C)and MUX circuits,while DesignII combines binary two’s complement and MUX circuits in one circuit.DesignI shows the lowest quantum cost,231,regarding state-ofthe-art.DesignII has a quantum cost of 199,reducing to 86.14%of DesignI.The functionality of the proposed multiplier is simulated and verified using XILINX ISE 14.2.

Implementation of N-Bit Binary Multiplication Using N - 1 Bit Multiplication Based on Nikhilam Sutra and Karatsuba Principles Using Complement Method

This paper is designed to introduce new hybrid Vedic algorithm to increase the speed of the multiplier. This work combines the principles of Nikhilam sutra and Karatsuba algorithm. Vedic Mathematics is the mathematical system to solve the complex computations in an easier manner. There are specific sutras to perform multiplication. Nikhilam sutra is one of the sutra. But this has some limitations. To overcome the limitations, this sutra is combined with Karatsuba algorithm. High speed devices are required for high speed applications with compact size. Normally multipliers require more power for its computation. In this paper, new multiplication algorithm for the multiplication of binary numbers is proposed based on Vedic Mathematics. The novel portion in the algorithm is found to be in the calculation of remainder using complement method. The size of the remainder is always set as N - 1 bit for any combination of input. The multiplier structure is designed based on Karatsuba algorithm. Therefore, N × N bit multiplication is done by (N - 1) bit multiplication. Numerical strength reduction is done through Karatsuba algorithm. The results show that the reduction in hardware leads to reduction in the delay.

Design and Implementation of Efficient Reversible Arithmetic and Logic Unit

In computing architecture, ALU plays a major role. Many promising applications are possible with ATMEGA microcontroller. ALU is a part of these microcontrollers. The performance of these microcontrollers can be improved by applying Reversible Logic and Vedic Mathematics. In this paper, an efficient reversible Arithmetic and Logic Unit with reversible Vedic Multiplier is proposed and the simulation results show its effectiveness in reducing quantum cost, number of gates, and the total number of logical calculations.