The Peak to Average Power Ratio (PAPR) of transmitting optical signal is often limited for the free space optical communication system with spatial modulation since the weight and volume of the system is restricted by scenarios. In order to increase the averaging transmitting optical power and the Signal Noise Ratio (SNR) of receiving signal so that improving the error performance and the sensitivity of the system, combing the Spatial Shift Keying (SSK) and Expurgated Pulse Position Modulation (EPPM), a Spatial Expurgated Pulse Position Modulation (SEPPM) scheme is proposed, the method of detection and demodulation at the receiver is given, and the union bound on the Bit Error Ratio (BER) of SEPPM is derived. By performing the Monte Carlo simulation, the error performance of SEPPM is compared with that of Spatial Pulse Position Modulation (SPPM). And results show that the SNR required by SEPPM is 4.6 dB lower than SPPM when BER=10-6 under weak turbulence channel, while the SNR required by SEPPM is 4.3 dB lower than SPPM when BER=10-3 under strong turbulence channel. Therefore, the SEPPM can keep the low computation complexity as well as the resistance of the atmospheric turbulence influence, and it can improve the peak power and error performance of the free space optical communication systems.
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