Discrete phase-locked loop systems and spreadsheets

Abramovich, Sergei, Kudryashova, Elena, Leonov, Gennady, & Sugden, Stephen John (2011) Discrete phase-locked loop systems and spreadsheets. In Zeraoulia, Elhadj (Ed.) Models and Applications of Chaos Theory in Modern Sciences. CRC Press (Taylor and Francis Group), New Hampshire, pp. 405-428.

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Abstract

This paper demonstrates the use of a spreadsheet in exploring non-linear difference equations that describe digital control systems used in radio engineering, communication and computer architecture. These systems, being the focus of intensive studies of mathematicians and engineers over the last 40 years, may exhibit extremely complicated behaviour interpreted in contemporary terms as transition from global asymptotic stability to chaos through period-doubling bifurcations. The authors argue that embedding advanced mathematical ideas in the technological tool enables one to introduce fundamentals of discrete control systems in tertiary curricula without learners having to deal with complex machinery that rigorous mathematical methods of investigation require. In particular, in the appropriately designed spreadsheet environment, one can effectively visualize a qualitative difference in the behviour of systems with different types of non-linear characteristic.

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ID Code: 73247
Item Type: Book Chapter
ISBN: 9781439883402
Divisions: Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 08 Jul 2014 22:36
Last Modified: 02 Sep 2014 00:27

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