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分析了由星间并行M-ary激光链路分光引起的能量损耗和由此导致的信息损耗。采用Lagrange乘数法得到了量子噪声极限下的最佳分光比与各符号发送概率和发送能量的关系。当用先验等概率和等能量发送时,最佳分光功率比为1:1:…:1,与相同平均发送功率OOK相比,M-ary各支路接收功率下降到了OOK的(log2M)/M量级。基于分光能量损耗的分析结果,推导了链路接收误码率恶化和信息损失,并做了相应的数值分析和Monte-Carlo仿真。仿真结果表明:4-ary受分光影响最小;随着M-ary分组数的增加,链路性能恶化,当分组数从4增至32时,由分光损耗造成的信息损失与5dB的接收功率损耗相当。
The energy loss caused by the splitting of inter-satellite M-ary laser links and the resulting information loss are analyzed. Using Lagrange multiplier method, the relationship between the best spectral ratio under the quantum noise limit and each symbol’s transmission probability and transmission energy is obtained. When transmitting with a priori equal probability and equal energy, the optimal spectral power ratio is 1: 1: ...: 1. Compared with the same average transmit power OOK, the received power of each M-ary branch drops to OOK (log2M) / M magnitude. Based on the analysis results of splitting energy loss, the degradation of BER and information loss of link reception are deduced, and the corresponding numerical analysis and Monte-Carlo simulation are made. The simulation results show that 4-ary is the least affected by spectral splitting. As the number of M-ary packets increases, the link performance deteriorates. When the number of packets increases from 4 to 32, the information loss due to splitting loss and the 5dB received power loss quite.