Improving autocorrelation and RFM autocorrelation performance of TD-ERCS sequence

Chaotic sequences have been widely used as pseudorandom sequences. But some well known chaotic sequence has poor autocorrelation, or after modulation, autocorrelation performance become poor, and their applications are limited. Such as TD-ERCS sequence, not only has poor autocorrelation performance, but also its RFM signal has poor autocorrelation, too. Based on recently presented APAS theorem, we modified TD-ERCS map to DS-TD-ERCS map, and DS-TD-ERCS sequence has excellent autocorrelation and RFM autocorrelation performance and has simple structure, whereas its other performances are remained invariant or become better, and can be used more widely.