论文部分内容阅读
提出一种基于子空间技术,使用三个通道的欠采样数据估计多个正弦波频率的方法.通过分析欠采样对频率估计的影响,阐明至少需要三个亚奈奎斯特通道才能保证对混叠频率解模糊,前提是三个欠采样比率是互素的.在此基础上,提出代替复杂的频率匹配过程的解模糊算法,从一个通道获得可能的候选频率,再联合使用三个通道的样本来筛选出正确的估计值.数值实验验证了理论分析的正确性,仿真结果表明所提出的方法有效且具有较高精度.
A method based on subspace technology is proposed to estimate the frequencies of multiple sine waves using the under-sampled data of three channels.By analyzing the effect of undersampling on the frequency estimation, it is demonstrated that at least three sub-Nyquist channels are needed to ensure the correct mixing Stacking frequency, the premise is that the three under-sampling rates are mutually prime. On the basis of this, we propose a solution algorithm to replace the complex frequency matching process, obtain the possible candidate frequencies from one channel and then combine the three channels Samples to filter out the correct estimates.Numerical experiments verify the correctness of the theoretical analysis, the simulation results show that the proposed method is effective and has high accuracy.