Abstract: 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.