Vedic Mathematics

Topics: Mathematics, Digital signal processing, Jagadguru Swami Sri Bharati Krishna Tirthaji Maharaja Pages: 11 (2514 words) Published: January 28, 2008
Global J. of Engng. Educ., Vol.8, No.2 © 2004 UICEE
Published in Australia
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 implementations on 8085 and 8086 microprocessors, resulting in appreciable savings in processing time. The exploration of Vedic algorithms in the DSP domain may prove to be extremely advantageous. Engineering institutions now seek to incorporate research-based studies in Vedic mathematics for its applications in various engineering processes. Further research prospects may include the design and development of a Vedic DSP chip using VLSI technology.

*A revised and expanded version of a keynote address
paper presented at the 4th Global Congress on Engineering
Education, held in Bangkok, Thailand, from 5 to 9 July
2004. This paper was awarded the UICEE diamond award
(joint first grade with one other paper) by popular vote of
Conference participants for the most significant contribution to the field of engineering education.
history and philosophy [1]. He studied these ancient
texts for years and, after careful investigation, was
able to reconstruct a series of mathematical formulae
called sutras.
Bharati Krishna Tirthaji, who was also the former
Shankaracharya (major religious leader) of Puri,
India, delved into the ancient Vedic texts and established
the techniques of this system in his pioneering
work, Vedic Mathematics (1965), which is considered
the starting point for all work on Vedic mathematics.
Vedic mathematics was immediately hailed as a new
alternative system of mathematics when a copy of
the book reached London in the late 1960s.
Some British mathematicians, including Kenneth
Williams, Andrew Nicholas and Jeremy Pickles, took
interest in this new system. They extended the
introductory material of Bharati Krishna's book, and
delivered lectures on it in London. In 1981, this was
collated into a book entitled Introductory Lectures
on Vedic Mathematics [2]. A few successive trips to
India by Andrew Nicholas between 1981 and 1987
154 P.D. Chidgupkar & M.T. Karad
renewed interest in Vedic mathematics, and scholars
and teachers in India started...
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