Plenary talks

Prof. P. P. Vaidyanathan, California Institute of Technology, USA

The Mathematician Ramanujan and Digital Signal Processing - pdf

Abstract:

The great Indian mathematician Ramanujan introduced a summation in 1918, called the Ramanujan- sum. For many years this summation was used by mathematicians to prove important results in number theory. In recent years, some researchers have found applications of this sum in digital signal processing, especially in identifying periodic components of signals buried in noise. In our recent work we have generalized the Ramanujan- sum decomposition in several directions, and this has opened up some new theory as well as application in representation and identification of structured signals such as periodic signals. Many beautiful theoretical properties are enjoyed by such representations, thanks to the genius and vision of Ramanujan many years ago. In this talk we will given an overview of this theory and show some of its applications.

Biography:

Prof. P. P. Vaidyanathan has been with the California Institute of Technology since 1983. His main research interests are in digital signal processing, multirate systems, wavelet transforms, digital communications, genomic signal processing, radar signal processing, and sparse array signal processing. He has authored many papers in journals and conferences, and is the author of the four books Multirate systems and filter banks (Prentice Hall, 1993), Linear Prediction Theory (Morgan and Claypool, 2008), (with Phoong and Lin) Signal Processing and Optimization for Transceiver Systems (Cambridge University Press, 2010), and (with Phoong and Lin) Filter bank transceivers for OFDM and DMT systems (Cambridge University Press, 2010). He was recipient of the award for excellence in teaching at the California Institute of Technology multiple times. His papers have received awards from IEEE and from the IETE (Institute of Electronics and Telecommunications Engineers, India). Dr. Vaidyanathan is a Fellow of the IEEE, recipient of the F. E. Terman Award of the American Society for Engineering Education, and a past distinguished lecturer for the IEEE Signal Processing Society. He is also a recipient of the IEEE CAS Society Golden Jubilee Medal, the IEEE Signal Processing Society Technical Achievement Award, the IEEE Signal Processing Society Education Award, and the IEEE Gustav Robert Kirchhoff Award (a Technical Field Award) for fundamental contributions to digital signal processing.