White, ergodic, and jointly Gaussian signals generated by a simple chaotic system

Bing-Fei Wu

doi:10.1109/ACC.1994.752314

White, ergodic, and jointly Gaussian signals generated by a simple chaotic system

Bing-Fei Wu^*

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

Abstract

A piecewise chaotic map, which has uniform invariant measure, can be used to generate a white noise and, by Perron-Frobenius equation, the invariant measure can be transformed to any kind of invariant measure by homeomorphism. Therefore, a Gaussian-like white noise can be implemented easily by famous chaotic piecewise maps as a white noise random number generator in computer. Moreover, given a correlation coefficient, white, ergodic and jointly Gaussian signals can be generated by computer. An approach to create these signals is also presented.

Original language	English
Pages (from-to)	1492-1496
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	2
DOIs	https://doi.org/10.1109/ACC.1994.752314
State	Published - 1 Dec 1994
Event	Proceedings of the 1994 American Control Conference. Part 1 (of 3) - Baltimore, MD, USA Duration: 29 Jun 1994 → 1 Jul 1994

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abstract = "A piecewise chaotic map, which has uniform invariant measure, can be used to generate a white noise and, by Perron-Frobenius equation, the invariant measure can be transformed to any kind of invariant measure by homeomorphism. Therefore, a Gaussian-like white noise can be implemented easily by famous chaotic piecewise maps as a white noise random number generator in computer. Moreover, given a correlation coefficient, white, ergodic and jointly Gaussian signals can be generated by computer. An approach to create these signals is also presented.",

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year = "1994",

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AB - A piecewise chaotic map, which has uniform invariant measure, can be used to generate a white noise and, by Perron-Frobenius equation, the invariant measure can be transformed to any kind of invariant measure by homeomorphism. Therefore, a Gaussian-like white noise can be implemented easily by famous chaotic piecewise maps as a white noise random number generator in computer. Moreover, given a correlation coefficient, white, ergodic and jointly Gaussian signals can be generated by computer. An approach to create these signals is also presented.

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M3 - Conference article

AN - SCOPUS:0028565832

SN - 0743-1619

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JF - Proceedings of the American Control Conference

T2 - Proceedings of the 1994 American Control Conference. Part 1 (of 3)

Y2 - 29 June 1994 through 1 July 1994

ER -

White, ergodic, and jointly Gaussian signals generated by a simple chaotic system

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