本文選題：頻率估計(jì) + 欠采樣��； 參考：《華中科技大學(xué)學(xué)報(bào)(自然科學(xué)版)》2017年09期

【摘要】：提出一種基于子空間技術(shù),使用三個(gè)通道的欠采樣數(shù)據(jù)估計(jì)多個(gè)正弦波頻率的方法.通過(guò)分析欠采樣對(duì)頻率估計(jì)的影響,闡明至少需要三個(gè)亞奈奎斯特通道才能保證對(duì)混疊頻率解模糊,前提是三個(gè)欠采樣比率是互素的.在此基礎(chǔ)上,提出代替復(fù)雜的頻率匹配過(guò)程的解模糊算法,從一個(gè)通道獲得可能的候選頻率,再聯(lián)合使用三個(gè)通道的樣本來(lái)篩選出正確的估計(jì)值.數(shù)值實(shí)驗(yàn)驗(yàn)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(xué)電子信息學(xué)院;
【基金】：國(guó)家自然科學(xué)基金資助項(xiàng)目(61501335) 湖北省自然科學(xué)基金資助項(xiàng)目(2015CFB202)
【分類號(hào)】：TN911.23
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本文編號(hào)：2017211