Ling, Wing-Kuen and Tam, Kwong-Shum (2003) Some new trajectory patterns and periodic behaviors of unstable second-order digital filter with two’s complement arithmetic. International Journal of Bifurcation and Chaos, 13 (8). pp. 2361-2368. ISSN 0218-1274

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Abstract

This letter shows some counter-intuitive simulation results that for some filter parameters in the extended boundaries of the stability triangle, the state vector will converge to a periodic orbit after some iterations, no matter what the initial conditions are. Also, a new pattern, which looks like a rotated letter ‘X’, is found. The center of the rotated letter is located at the origin and the slopes of the ‘straight lines’ of the rotated letter are equal to the values of the pole locations.

Item Type:	Article
Additional Information:	This letter shows some counter-intuitive simulation results that for some filter parameters in the extended boundaries of the stability triangle, the state vector will converge to a periodic orbit after some iterations, no matter what the initial conditions are. Also, a new pattern, which looks like a rotated letter ‘X’, is found. The center of the rotated letter is located at the origin and the slopes of the ‘straight lines’ of the rotated letter are equal to the values of the pole locations.
Keywords:	digital filters with two's complement arithmetic, unstable, second order, periodic
Subjects:	H Engineering > H310 Dynamics
Divisions:	College of Sciences > Faculty of Science > Lincoln School of Engineering
Depositing User:	Wing-Kuen Ling
Date Deposited:	29 Jul 2010 10:08
Last Modified:	13 Mar 2013 08:43
URI:	http://eprints.lincoln.ac.uk/id/eprint/3065

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