Quantitative analyses on the finite precision effect of computerized logistic map

Author

Zhang, Bo ; Wang, Guangyi ; Han, Chunyan

Author_Institution

Sch. of Electron. Inf., Hangzhou Dianzi Univ., Hangzhou, China

fYear

2009

fDate

13-15 Nov. 2009

Firstpage

1

Lastpage

4

Abstract

The aperiodic chaotic signals turn out to be periodic signals in the computerizing realization due to the finite precision effect. Currently there doesn´t exist quantitative analyses in this field. Inspired by the AD/DA method this paper simulates the fixed-point algorithm in floating-point environment, and then employs curve-fitting method to get the quantitative relation between the maximum cycle of the chaotic orbit and the digital precision in computerizing chaotic logistic map.

Keywords

chaotic communication; cryptography; curve fitting; telecommunication security; AD-DA method; aperiodic chaotic signals; computerized logistic map; curve-fitting method; finite precision effect; fixed-point algorithm; floating-point environment; quantitative analyses; Algorithm design and analysis; Chaotic communication; Computational modeling; Computer simulation; Cryptography; Curve fitting; Equations; Information analysis; Logistics; Signal analysis; Logistic map; chaos; finite precision effect; fixed-point algorithm;

fLanguage

English

Publisher

ieee

Conference_Titel

Wireless Communications & Signal Processing, 2009. WCSP 2009. International Conference on

Conference_Location

Nanjing

Print_ISBN

978-1-4244-4856-2

Electronic_ISBN

978-1-4244-5668-0

Type

conf

DOI

10.1109/WCSP.2009.5371647

Filename

5371647