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Vedic Mathematics

153
Global J. of Engng. Educ., Vol.8, No.2 © 2004 UICEE
Published in Australia
INTRODUCTION
Vedic mathematics is the name given to the ancient
system of mathematics, or, to be precise, a unique
technique of calculations based on simple rules and
principles with which any mathematical problem can
be solved – be it arithmetic, algebra, geometry or
trigonometry. The system is based on 16 Vedic sutras
or aphorisms, which are actually word formulae
describing natural ways of solving a whole range of
mathematical problems. Vedic mathematics was
rediscovered from the ancient Indian scriptures
between 1911 and 1918 by Sri Bharati Krishna Tirthaji
(1884-1960), a scholar of Sanskrit, mathematics,
The Implementation of Vedic Algorithms in Digital
Signal Processing*
Purushottam D. Chidgupkar
Mangesh T. Karad
MIT Women Engineering College, Maharashtra Academy of Engineering and Educational Research
S. No. 124, MIT Eng. College Campus, Ex-Serviceman Colony, Paud Road, Pune - 411038, India
Digital signal processing (DSP) is the technology that is omnipresent in almost every engineering
discipline. It is also the fastest growing technology this century and, therefore, it poses tremendous
challenges to the engineering community. Faster additions and multiplications are of extreme
importance in DSP for convolution, discrete Fourier transforms, digital filters, etc. The core
computing process is always a multiplication routine; therefore, DSP engineers are constantly
looking for new algorithms and hardware to implement them. Vedic mathematics is the name given
to the ancient system of mathematics, which was rediscovered, from the Vedas between 1911 and
1918 by Sri Bharati Krishna Tirthaji. The whole of Vedic mathematics is based on 16 sutras (word
formulae) and manifests a unified structure of mathematics. As such, the methods are complementary,
direct and easy. The authors highlight the use of multiplication process based on Vedic algorithms
and its...