Autocorrelation performance improvement of Kawakami Hyperchaos sequence based on APAS theorem

Hyperchaos sequences, as a kind of complex pseudorandom sequences, have been widely used. But some well known Hyperchaos sequences, such as Kawakami sequence, have poor autocorrelation performance, and their applications are limited. Based on recently presented APAS theorem, we modified Kawakami map to S-Kawakami map, and S-Kawakami sequence has excellent autocorrelation performance, whereas its other performances are remained invariant or become better, and can be used more widely.