Autocorrelation Properties of One Class of Chaotic Sequences

From the context of statistics,this paper derives theoretically the autocorrelation function and autocorrelation coeffcient of one class of chaotic sequences generated via an one-dimensional(1 -D) discrete dynamic system driven by function iterations.The resulting autocorrelations are identical with those of a stochastic first-order autoregressive process.Both have nearly ideal autocorrelation structures which denote that a plenty of PN sequences for communication and radar systems can be applied.Some numerical simulation results are in agreement with those of theoretic analysis.