MIT Department of Electrical Engineering & Computer Science

E E C S

Signal Processing and Communication with Soliton Signals

Andrew C. Singer
Massachusetts Institute of Technology

Thursday, April 11, 1996
4:15 PM (4:00 refreshments)
Grier Room, 34-401B
EECS Special Seminar

Abstract

Traditional signal processing algorithms rely heavily on models that are inherently linear. Such models are attractive both for their mathematical tractability and their applicability to the rich class of signals that can be represented with Fourier methods. Nonlinear systems that support soliton solutions share many of the properties that make linear systems attractive from an engineering standpoint. Although nonlinear, these systems are solvable through inverse scattering, a technique analogous to the Fourier transform for linear systems. Solitons are eigenfunctions of these systems which satisfy a nonlinear form of superposition and display rich signal dynamics as they interact. By using solitons for signal synthesis, the corresponding nonlinear systems become specialized signal processors which are naturally suited to a number of complex signal processing tasks. Analog circuits can generate soliton signals and can be used as natural multiplexers and demultiplexers in a number of potential soliton communication applications. These circuit models play an important role in investigating the effects of noise on soliton behavior. Finally, the soliton signal dynamics also provide a mechanism for decreasing signal energy while enhancing detection and estimation performance.


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Created: Mar 7, 1996  | Modified: Jun 25, 1997
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