**1.A hierarchical design of high performance 8×8 bit multiplier based on Vedic mathematics,Sumit R. Vaidya,Deepak R. Dandekar**

In this paper, low power and high speed 8×8 Bit Vedic Multiplier is presented. A Novel technique for digit multiplication is produced that is quite different from the conventional method of multiplication like Add and Shift [1]. This paper presents a systematic design methodology for fast and delay efficient Vedic Multiplier based on Vedic Mathematics [2]. The multiplier architecture based on the Vertical and Crosswise algorithm of Ancient Indian Vedic Mathematics. In this paper, general technique for NxN multiplication is proposed and implemented; this gives less delay for calculating the multiplication results for 8×8 Bit Vedic Multiplier. In this paper, less delay and high speed 8×8 Bit Vedic Multiplier is presented. The multiplier cell of the adder is designed by using Pass Transistor (n-transistor), p-transistor used as cross coupled devices. The 8×8 Bit Vedic Multiplier circuit has been simulated using Microwind 3.1 VLSI Layout CAD tools. Simulated results for proposed 8×8 bit Vedic Multiplier circuit shows a great reduction in delay for 0.18 μm.

https://portal.acm.org/citation.cfm?id=1948020

**2. Performance Evaluation and Synthesis of Multiplier Used in FFT Operation Using Conventional and Vedic Algorithms Laxman P. Thakre, Suresh Balpande, Umesh Akare, Sudhir Lande**

New telecommunication systems are based more than ever before on digital signal processing. High speed digital telecommunication systems such as OFDM and DSL need real-time high-speed computation of the Fast Fourier Transform. Thus there is a need of innovative algorithms to improve the speed. In this paper, we propose vedic algorithm for the implementation of multipliers to be used in the FFT. Vedic mathematics (VM) comes with the simplest and effective algorithm for solving any typical engineering problem standing on the pillars of the “Vedic” principles. The conventional multiplication method requires more time & area on silicon than vedic algorithms. More importantly processing speed increases with the bit length. This will help ultimately to speed up the signal processing task, as it is well known that the multiplier is the basic building block of FFT. The VM has been synthesized for the target device 5vlx30ff324-3.

Dear Sir

i am starting my phd and want to work in the field of vedic mathematics

Can you suggest in which area of vedic mathematics i can start working

it will be a great help

You can consider looking into Vedic Maths and IT. Check some research papers in the field by Mr.Himanshu Thapliyal.