The performance of a space downlink chaotic laser communication system based on PAM4 modulation under the influence of atmospheric turbulence is studied. Due to the optical intensity scintillation caused by atmospheric turbulence, additional mismatch noise is generated in this communication system. The ensemble average symbol error rate (SER) formula for PAM4 modulation is derived, based on which the performance is studied by numerical simulation. The results show that the ensemble average mismatch noise caused by delay time mismatch is approximately two orders of magnitude larger than that caused by high-frequency cutoff time mismatch and modulator phase mismatch. For PAM4 communication systems under atmospheric turbulence, the communication performance deterioration caused by internal mismatch dominates. Then, the communication performance at higher data baud rates is investigated. As the data baud rate increases, the impact of internal and external mismatch compensation on system performance improvement gradually decreases. At last, the communication performance with PAM8 modulation is discussed as well, and the SER is lower than 10-4 when transmit power is 10 W. This paper has certain reference significance for the parameter design of multi-level modulation space chaos communication system.
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