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
Full content URL: http://dx.doi.org/10.1142/S0218127403008016
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| Item Type: | Article |
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| Item Status: | Live Archive |
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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.
| 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. |
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| Keywords: | digital filters with two's complement arithmetic, unstable, second order, periodic |
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| Subjects: | H Engineering > H310 Dynamics |
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| Divisions: | College of Science > School of Engineering |
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| ID Code: | 3065 |
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| Deposited On: | 29 Jul 2010 10:08 |
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