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無窗全相位FFT/FFT相位差頻移補(bǔ)償頻率估計(jì)器

黃翔東,  王越冬,  靳旭康,  呂衛(wèi)

黃翔東, 王越冬, 靳旭康, 呂衛(wèi). 無窗全相位FFT/FFT相位差頻移補(bǔ)償頻率估計(jì)器[J]. 電子與信息學(xué)報(bào), 2016, 38(5): 1135-1142. doi: 10.11999/JEIT151041
引用本文: 黃翔東, 王越冬, 靳旭康, 呂衛(wèi). 無窗全相位FFT/FFT相位差頻移補(bǔ)償頻率估計(jì)器[J]. 電子與信息學(xué)報(bào), 2016, 38(5): 1135-1142. doi: 10.11999/JEIT151041
HUANG Xiangdong, WANG Yuedong, JIN Xukang, Lü Wei. No-windowed apFFT/FFT Phase Difference Frequency Estimator Based on Frequency-shift Compensation[J]. Journal of Electronics & Information Technology, 2016, 38(5): 1135-1142. doi: 10.11999/JEIT151041
Citation: HUANG Xiangdong, WANG Yuedong, JIN Xukang, Lü Wei. No-windowed apFFT/FFT Phase Difference Frequency Estimator Based on Frequency-shift Compensation[J]. Journal of Electronics & Information Technology, 2016, 38(5): 1135-1142. doi: 10.11999/JEIT151041

無窗全相位FFT/FFT相位差頻移補(bǔ)償頻率估計(jì)器

doi: 10.11999/JEIT151041 cstr: 32379.14.JEIT151041
基金項(xiàng)目: 

國家自然科學(xué)基金(61271322)

No-windowed apFFT/FFT Phase Difference Frequency Estimator Based on Frequency-shift Compensation

Funds: 

Foundation Item: The National Natural Science Foundation of China (61271322)

  • 摘要: 為提高經(jīng)典全相位FFT/FFT相位差頻率估計(jì)器的精度，該文提出無窗模式和頻移補(bǔ)償兩項(xiàng)改進(jìn)措施。借助譜分析試驗(yàn)和理論分析，該文證明無窗模式相比于原有加窗模式更能增強(qiáng)全相位FFT和FFT的峰值譜幅度，從而增強(qiáng)抵御噪聲的能力；借助頻移補(bǔ)償措施，使得無窗模式下的apFFT和FFT總能工作在小頻偏狀態(tài)，從而有助于提取準(zhǔn)確的相位差信息。仿真實(shí)驗(yàn)表明，該文的改進(jìn)估計(jì)器，對于單頻測量情況，其頻率估計(jì)方差緊靠克拉美-羅限，對于多頻情況，相比于現(xiàn)有的Tsui內(nèi)插估計(jì)器，在低信噪比環(huán)境下表現(xiàn)出更好的抗干擾性能，因而具有較廣泛的應(yīng)用前景。
    Abstract: In order to enhance the accuracy of the classical all-phase FFT/FFT phase-difference frequency estimator, two improvement measures are proposed: no-windowed mode and frequency-shift compensation. By means of spectral analysis trials and theoretical analysis, it is proved that the no-windowed mode outperforms the windowing mode in highlighting the peak spectral bins of apFFT and FFT, thereby enhancing the estimators robustness to noise contamination. By means of frequency-shift compensation, the no-windowed apFFT and FFT can always work in the state of small frequency deviation, which helps to extract accurate information of phase difference. Simulation results show that, for the proposed estimator, its frequency estimate variance approximates the Cramer-Rao lower bound. Moreover, compared to the Tsui interpolation-based estimator, it also exhibits higher performance of anti-interference in low SNR circumstances, which presents the vast potential for future development.
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出版歷程
  • 收稿日期:  2015-09-14
  • 修回日期:  2016-03-08
  • 刊出日期:  2016-05-19

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