NORMALIZED HISTOGRAM OF THE STATE VARIABLE OF FIRST-ORDER DIGITAL FILTERS WITH TWO'S COMPLEMENT ARITHMETIC-Reference-Cited by-同舟云学术

NORMALIZED HISTOGRAM OF THE STATE VARIABLE OF FIRST-ORDER DIGITAL FILTERS WITH TWO'S COMPLEMENT ARITHMETIC

Published:2005-08 Issue:08 Volume:15 Page:2583-2586
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

LING BINGO WING-KUEN¹,HO CHARLOTTE YUK-FAN²,TAM PETER KWONG-SHUN³

Affiliation:

1. Department of Electronic Engineering, Division of Engineering, The King's College London, Strand, London, WC2R 2LS, UK

2. Department of Electronic Engineering, Queen Mary, University of London, Mile End Road, London, E1 4NS, UK

3. Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, P. R. China

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 state variable in certain regions is close to zero no matter what is the initial condition. Some analytic results are given to account for this phenomenon.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127405013514

Reference12 articles.

1. Chaos in digital filters

2. Fractal pattern of second-order non-linear digital filters: A new symbolic analysis

3. Chaos and fractals from third-order digital filters

4. Bifurcation phenomena in second-order digital filter with saturation-type adder overflow characteristic

5. On symbolic dynamics of a chaotic second-order digital filter

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