Sparsity Adaptive Channel Estimation Algorithm Based on Compressed Sensing

Binyu Wang, Lijie Li
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Abstract

Aiming at the problem of path selection error and the prior information of channel sparsity in compressed sampling matching pursuit algorithm, an improved sparsity adaptive compressed sensing algorithm based on atomic screening is proposed. The improved algorithm uses the time-domain screening characteristics of traditional DFT channel estimation algorithm to screen out most noise atoms, then uses the atom set obtained as priori information to reduce the probability of error selection in traditional compressed sensing algorithm. In addition, the idea of step size is introduced. The number of atoms entering the candidate set in each iteration is set to twice the step size, further reducing the possibility of irrelevant atoms entering the candidate set. Finally, the number of iterations is controlled by the change of residual, which improves the adaptability of channel estimation algorithm. The simulation results show that the mean square error performance of the improved algorithm in the channel with unknown sparsity is 4dB higher than that of the original algorithm.
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基于压缩感知的稀疏自适应信道估计算法
针对压缩采样匹配追踪算法中存在的路径选择误差和信道稀疏性先验信息问题,提出了一种改进的基于原子筛选的稀疏性自适应压缩感知算法。该改进算法利用传统DFT信道估计算法的时域筛选特性,筛选出大部分噪声原子,然后将得到的原子集作为先验信息,降低传统压缩感知算法中错误选择的概率。此外,还介绍了步长的概念。在每次迭代中进入候选集的原子数被设置为步长的两倍,进一步降低了不相关原子进入候选集的可能性。最后,通过残差的变化来控制迭代次数,提高了信道估计算法的适应性。仿真结果表明,改进算法在未知稀疏度信道下的均方误差性能比原算法提高了4dB。
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