三通道欠采样频率估计

发布时间：2018-06-14 11:24

  本文选题：频率估计 + 欠采样　； 参考：《华中科技大学学报(自然科学版)》2017年09期

【摘要】：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.
[Abstract]:A subspace based method for estimating multiple sinusoidal frequencies using three channels of under-sampled data is proposed. By analyzing the influence of under-sampling on frequency estimation, it is shown that at least three Nyquist channels are needed to guarantee the ambiguity of aliasing frequency, provided that the three under-sampling ratios are reciprocal prime. On the basis of this, a deblurring algorithm instead of the complex frequency matching process is proposed. The possible candidate frequencies are obtained from one channel, and the correct estimation is obtained by using the three channel samples together. The simulation results show that the proposed method is effective and accurate.
【作者单位】： 武汉大学电子信息学院;
【基金】：国家自然科学基金资助项目(61501335) 湖北省自然科学基金资助项目(2015CFB202)
【分类号】：TN911.23
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本文编号：2017211