A phase space method to assess and improve autocorrelation and RFM autocorrelation performances of chaotic sequences

Some chaotic sequences have poor autocorrelation performance or modulated autocorrelation performance, but previously we didn´t know the rule and couldn´t improve their performances effectively. Using recently presented Autocorrelation and modulated Autocorrelation theorems based on a Phase Space method, we can find and mend the structure defects of chaotic sequences and improve their autocorrelation or modulated autocorrelation performance. Using well known Bernoulli and Skew Tent sequences as examples, we have assessed and improved their autocorrelation and RFM autocorrelation performances through the phase space method to validate that the method is simple yet effective.