基于改进GOMP算法的OFDM稀疏信道估计

OFDM Sparse Channel Estimation Based on Improved GOMP Algorithm

针对基于压缩感知的信道估计传统算法中,内积准则无法筛选出最佳原子的问题,本文采用了基于广义正交匹配追踪的改进算法(GOMP)。该算法用Dice原子匹配准则代替经典的内积准则,并融合原子“弱”选择的方法,避免内积准则无法从冗余字典中选取最优原子的问题。通过Matlab理论仿真,当步长设置为3,信噪比取40dB时,GOMP算法的误码率是0.8557×10^(-2),而改进的GOMP算法误码率为0.2356×10^(-2),由此证明改进的GOMP算法在误码率方面优于GOMP算法。

In view of the problem that the inner product criterion cannot filter out the best atom in the traditional channel estimation algorithm based on compressed sensing,this paper adopts an improved algorithm based on generalized orthogonal matching pursuit(GOMP).This algorithm replaces the classic inner product rule with the Dice atom matching criterion,and integrates the method of“weak”selection of atoms to avoid the problem that the inner product criterion cannot select the optimal atom from the redundant dictionary.Through Matlab theoretical simulation,when the step size is set to 3 and the signal-to-noise ratio is 40dB,the error rate of the GOMP algorithm is 0.8557×10^(-2),and the error rate of the improved GOMP algorithm is 0.2356×10^(-2),which proves The improved GOMP algorithm is better than GOMP algorithm in bit error rate.