Autonomous response of a third-order digital filter with two’s complement arithmetic realized in parallel form

Ling, Wing-Kuen and Chan, Albert Yick-Po and Wong, Thomas Pak-Lin and Tam, Peter Kwong-Shun (2002) Autonomous response of a third-order digital filter with two’s complement arithmetic realized in parallel form. Communications in Information and Systems, 2 (4). pp. 435-454. ISSN 1526-7555

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Abstract

This paper investigates the output and state trajectories of a third-order digital filter with two’s complement arithmetic realized in parallel form. Although the output of the third-order digital filter seems to behave randomly, some regular patterns can be displayed on the plot of versus , where those regular patterns are similar to the second-order case. When the first-order subsystem is operated at the marginally stable points, the output of the third-order system is still mainly dependent on the behaviors of the corresponding second-order digital filter, even though overflow occurs. Explicit equations relating the trajectories of the system to the filter parameters and the initial conditions provide further insights into the behaviors of the system.

Item Type:Article
Additional Information:This paper investigates the output and state trajectories of a third-order digital filter with two’s complement arithmetic realized in parallel form. Although the output of the third-order digital filter seems to behave randomly, some regular patterns can be displayed on the plot of versus , where those regular patterns are similar to the second-order case. When the first-order subsystem is operated at the marginally stable points, the output of the third-order system is still mainly dependent on the behaviors of the corresponding second-order digital filter, even though overflow occurs. Explicit equations relating the trajectories of the system to the filter parameters and the initial conditions provide further insights into the behaviors of the system.
Keywords:digital filters with two's complement arithmetic, parallel, third order
Subjects:H Engineering > H310 Dynamics
Divisions:College of Science > School of Engineering
ID Code:3186
Deposited By: Bev Jones
Deposited On:06 Aug 2010 13:56
Last Modified:13 Mar 2013 08:44

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