For atmospheric weak turbulence channel model with lognormal distribution

a class of suitable polar codes was constructed based on Gaussian Approximation method.Then their error correction performance were simulated and analyzed over the channel with different turbulence strengths.Simulation results show that the constructed polar codes can get 1.0dB to 1.4dB coding gains at 1e-5 bit error rate

rather than the heuristic recursive structural polar codes under the same successive cancellation decoding algorithm.Furthermore

the performance of polar coded On-Off Keying (OOK) modulation and Pulse Position modulation (PPM) schemes was compared.The results show that polar coded 2-PPM modulation scheme can obtain better performance under weak turbulence channel conditions.