In this paper, we compare different order of statistical moments to blindly estimate the propagation channel in an OFDM based wireless network. We first derive the theoretical expression of the channel estimation error and we compare it to simulation results in different scenarios. These simulation results show a good agreement with the theoretical expression. Furthermore, we show that blind channel identification algorithms, based on different moment's order, exhibit similar performance in terms of the Normalized Mean Square Error (NMSE) and in terms of the Bit Error Rate (BER). We conclude that the choice of the moment's order is uniquely based on the ambiguity solving stage in the algorithm. The proposed study shows that the choice of the 4 th moment is a trade-off between channel estimation performance and ambiguity solving complexity.