Ling, Wing-Kuen and Ho , Charlotte Yuk-Fan and Tam, Peter Kwong-Shun (2005) Normalized histogram of the state variable of first-order digital filters with two’s complement arithmetic. International Journal of Bifurcation and Chaos, 15 (8). pp. 2583-2586. ISSN 0218-1274

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Abstract

In this letter, the normalized histogram of the state variable of first-order digital filters with two’s complement arithmetic is investigated. When the pole of the digital filter is between 1 and 2, it is found that the possibility of occurrence of the state variable in certain region is close to zero no matter what the initial condition is. Some analytic results are given to account for this phenomenon.

Item Type:	Article
Additional Information:	In this letter, the normalized histogram of the state variable of first-order digital filters with two’s complement arithmetic is investigated. When the pole of the digital filter is between 1 and 2, it is found that the possibility of occurrence of the state variable in certain region is close to zero no matter what the initial condition is. Some analytic results are given to account for this phenomenon.
Keywords:	Digital filters, two’s complement arithmetic, normalized histogram
Subjects:	H Engineering > H310 Dynamics
Divisions:	College of Sciences > Faculty of Science > Lincoln School of Engineering
Depositing User:	Wing-Kuen Ling
Date Deposited:	06 Aug 2010 13:06
Last Modified:	13 Mar 2013 08:43
URI:	http://eprints.lincoln.ac.uk/id/eprint/3063

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