Detection and characterization of a class of discrete time chaotic signals

Document Type

Conference Proceeding

Date of Original Version



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



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