Nonlinear Circuits and Systems
Dr. Damon A. Miller
Chaotic systems are deterministic; that is, their behavior is completely described by mathematical equations. In spite of this deterministic nature, the exact state of a chaotic system rapidly becomes unpredictable after it is "turned on." Thus chaotic systems provide a source of "deterministic randomness" that can be utilized in practical applications. A properly designed observer can be synchronized with a chaotic system for use in communication systems.
In collaboration with Dr. Giuseppe Grassi of the Department of Engineering for Innovation at the University of Salento and Drs. Bazuin and Severance and students at WMU, Dr. Miller is exploring novel chaotic systems and their electronic implementations.
Research is conducted primarily in the Nonlinear Circuits and Systems Laboratory located in room A-209 of the WMU Collge of Engineering and Applied Sciences.
Example Projects
| A linear observer of a continuous time hyperchaotic oscillator via a single scalar signal as described in D. A. Miller and G. Grassi, "Experimental realization of observer-based hyperchaos synchronization," IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, vol. 48, pp. 366-374, March 2001. |
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| A discrete-time nonlinear observer of a hyperchaotic discrete-time oscillator via a single scalar signal as described in G. Grassi and D. A. Miller, "Theory and experimental realization of observer-based discrete-time hyperchaos synchronization," IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, vol. 49, pp. 373-378, March 2002. |
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| A noise source for communication system bit error rate testing as desribed in D. A. Miller, B. Bazuin, J. Lillrose, P. Tamayo, and G. Grassi, "Experimental and simulated generation of bandlimited noise for communication system bit error rate evaluation," in Proceedings of the 2005 IEEE International Midwest Symposium on Circuits and Systems, (Cincinnati, OH), August 7-10, 2005. Supported by the NASA Michigan Space Grant Consortium through an undergraduate research fellowship. |
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