A Multilevel Code Shifted Differential Chaos Shift Keying System With $M$ -ary Modulation

Abstract

In this brief, a multilevel code shifted differential chaos shift keying system with <inline-formula> <tex-math notation= LaTeX >${M}$ </tex-math></inline-formula>-ary modulation (MCS-MDCSK) is proposed, which is a hybrid of the <inline-formula> <tex-math notation= LaTeX >${M}$ </tex-math></inline-formula>-ary modulation and multilevel code shifted differential chaos shift keying. In the proposed system, since the reference signal and a number of different information bearing signals which can carry <inline-formula> <tex-math notation= LaTeX >${M}$ </tex-math></inline-formula>-ary constellation symbols are transmitted in the same slot, the spectral efficiency of MCS-MDCSK system is enhanced significantly. By combining with <inline-formula> <tex-math notation= LaTeX >${M}$ </tex-math></inline-formula>-ary modulation, MCS-MDCSK system makes great progress in pursuit of higher data rate. Moreover, we derive the analytical bit-error-rate (BER) for the proposed system over the additive white Gaussian noise and multipath Rayleigh fading channels, and we verify our theoretical derivations by simulations. Finally, the BER performance of the proposed system is compared with other non-coherent chaotic modulation systems and MCS-MDCSK system is found to be superior and competitive.