本文選題：頻率估計 + 欠采樣　； 參考：《華中科技大學學報(自然科學版)》2017年09期

【摘要】：提出一種基于子空間技術,使用三個通道的欠采樣數(shù)據(jù)估計多個正弦波頻率的方法.通過分析欠采樣對頻率估計的影響,闡明至少需要三個亞奈奎斯特通道才能保證對混疊頻率解模糊,前提是三個欠采樣比率是互素的.在此基礎上,提出代替復雜的頻率匹配過程的解模糊算法,從一個通道獲得可能的候選頻率,再聯(lián)合使用三個通道的樣本來篩選出正確的估計值.數(shù)值實驗驗證了理論分析的正確性,仿真結(jié)果表明所提出的方法有效且具有較高精度.
[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.
【作者單位】： 武漢大學電子信息學院;
【基金】：國家自然科學基金資助項目(61501335) 湖北省自然科學基金資助項目(2015CFB202)
【分類號】：TN911.23
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本文編號：2017212