Detection and characterization of a class of discrete time chaotic signals

Authors

Olufemi A. Adeyemi, Nokia Bell Labs
Shubha Kadambe, Nokia Bell Labs
G. Faye Boudreaux-Bartels, Nokia Bell LabsFollow

Document Type

Conference Proceeding

Date of Original Version

12-1-1993

Abstract

This paper describes a simple method for detecting a class of first order or low dimensional discrete-time signals whose dynamical properties have the form of the logistic map. We have developed a Maximum Likelihood Estimation (MLE) technique for the tuning parameter a and the initial condition of a logistic map embedded in zero-mean white Gaussian noise. We use the estimated values to determine the chaotic behavior of class of first order discrete time signals. We have also derived the recursive Cramer-Rao Lower Bound (CRLB) for the tuning parameter a and the initial condition to characterize the performance of developed estimators.

Publication Title, e.g., Journal

Conference Record of the Asilomar Conference on Signals, Systems & Computers

Volume

1

Citation/Publisher Attribution

Adeyemi, Olufemi A., Shubha Kadambe, and G. F. Boudreaux-Bartels. "Detection and characterization of a class of discrete time chaotic signals." Conference Record of the Asilomar Conference on Signals, Systems & Computers 1, (1993): 233-237. https://digitalcommons.uri.edu/ele_facpubs/157