Error rate performance of differential multi-pulse position modulation

Abstract

In order to improve the efficiency of the normal pulse position modulation, differential multi-pulse position modulation (DMPPM) scheme is proposed. It has made full use of the advantages of multi-pulse position modulation (MPPM) and differential pulse position modulation (DPPM), and has become one of the most efficient modulation schemes in wireless laser communication. Based on the atmospheric channel affected only by transmission path attenuation and additive Gauss white noise, by analyzing the symbol length, the bandwidth requirement and the peak power of L-level pulse position modulation, MPPM, DPPM and DMPPM, the calculation formula of error rate for various modulation schemes is derived under the optimal demodulation conditions. The simulation results show that DMPPM has advantages on symbol length, bandwidth requirement and peak power. Under the condition of the same signal-to-noise ratio, the error rate of DMPPM is larger. Nevertheless, the error rate performance can be effectively improved by increasing the modulation order or reducing the pulse number.