Title :
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
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;
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
DOI :
10.1109/WCSP.2009.5371647
