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

HUANG Xiangdong; WANG Yuedong; JIN Xukang; Lü Wei

doi:10.11999/JEIT151041

Volume 38 Issue 5

May 2016

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Article Navigation > Journal of Electronics & Information Technology > 2016 > 38(5): 1135-1142

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

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

doi: 10.11999/JEIT151041

Funds:

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

Received Date: 2015-09-14
Rev Recd Date: 2016-03-08
Publish Date: 2016-05-19

Abstract

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.
- Frequency estimate,
- Cramer-Rao lower bound,
- Frequency-shift compensation,
- All-phase FFT,
- No-windowed mode

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References

曹文杰, 张磊, 杜兰, 等. 基于瞬时频率估计的进动锥体目标微多普勒频率提取方法[J]. 电子与信息学报, 2015, 37(5): 1091-1096. doi: 10.11999/JEIT140985.

CAO Wenjie, ZHANG Lei, DU Lan, et al. Micro-Doppler frequency extraction for cone-shaped target with precession based on instantaneous frequency estimation[J]. Journal of Electronics Information Technology, 2015, 37(5): 1091-1096. doi: 10.11999/JEIT140985.

WANG Wenqin and SO Hingcheung. Transmit subaperturing for range and angle estimation in frequency diverse array radar[J]. IEEE Transactions on Signal Processing, 2014, 62(8): 2000-2011. doi: 10.1109/TSP.2014.2305638.

ANSARI M, ESMAILZADEH E, and JALILI N. Exact frequency analysis of a rotating cantilever beam with tip mass subjected to torsional-bending vibrations[J]. Journal of Vibration and Acoustics, 2011, 133(4): 041003. doi: 10.1115/1.4003398.

ABOUTANIOS E and MULGREW B. Iterative frequency estimation by interpolation on Fourier coefficients[J]. IEEE Transactions on Signal Processing, 2005, 53(4): 1237-1242. doi: 10.1109/ TSP.2005.843719.

CANDAN C. A method for fine resolution frequency estimation from three DFT samples[J]. IEEE Signal Processing Letters, 2011, 18(6): 351-354. doi: 10.1109/LSP. 2011.2136378.

DUDA K. DFT interpolation algorithm for Kaiser-Bessel and Dolph-Chebyshev windows[J]. IEEE Transactions on Instrumentation and Measurement, 2011, 60(3): 784-790. doi: 10.1109/TIM.2010.2046594.

CANDAN C. Analysis and further improvement of fine resolution frequency estimation method from three DFT samples[J]. IEEE Signal Processing Letters, 2013, 20(9): 913-916. doi: 10.1109/LSP.2013.2273616.

邓振淼, 刘渝. 正弦波频率估计的牛顿迭代方法初始值研究[J]. 电子学报, 2007, 35(1): 104-111.

DENG Zhenmiao and LIU Yu. The starting point problem of sinusoid frequency estimation based on Newtons method[J]. Acta Electronica Sinica, 2007, 35(1): 104-111.

RIFE D and BOORSTYN R R. Single tone parameter estimation from discrete-time observations[J]. IEEE Transactions on Information Theory, 1974, 20(5): 591-598. doi: 10.1109/TIT.1974.1055282.

TSUI J. Digital Techniques for Wideband Receivers[M]. Herndon, Virginia, USA: SciTech Publishing, 2004: 124-126.

黄翔东, 王兆华. 基于全相位频谱分析的相位差频谱校正法[J]. 电子与信息学报, 2008, 30(2): 293-297.

HUANG Xiangdong and WANG Zhaohua. Phase difference correcting spectrum method based on all-phase spectrum analysis[J]. Journal of Electronics Information Technology, 2008, 30(2): 293-297.

谭思炜, 任志良, 孙常存. 全相位FFT相位差频谱校正法改进[J]. 系统工程与电子技术, 2013, 35(1): 34-39. doi: 10.3969/j.issn.1001-506X.2013.01.06.

TAN Siwei, REN Zhiliang, and SUN Changcun. Improvement of phase differnece correcting spectrum method based on all phase FFT[J]. Journal of Systems Engineering and Electronics, 2013, 35(1): 34-39. doi: 10.3969/j.issn.1001-506X. 2013.01.06.

黄翔东, 孟天伟, 丁道贤, 等. 前后向子分段相位差频率估计法[J]. 物理学报, 2014, 63(21): 214304. doi: 10.7498/aps.63. 214304.

HUANG Xiangdong, MENG Tianwei, DING Daoxian, et al. A novel phase difference frequency estimator based on forward and backward sub-segmenting[J]. Acta Physica Sinica, 2014, 63(21): 214304. doi: 10.7498/aps.63. 214304.

HUANG Xiangdong and XIA Xianggen. A fine resolution frequency estimator based on double sub-segment phase difference[J]. IEEE Signal Processing Letters, 2015, 22(8): 1055-1059. doi: 10.1109/LSP.2014.2385086.

曹浩, 刘得军, 冯叶, 等. 全相位时移相位差法在电力谐波检测中的应用[J]. 电测与仪表, 2012, 49(7): 24-28. doi: 10.3969/ j.issn.1001-1390.2012.07.006.

CAO Hao, LIU Dejun, FENG Ye, et al. Application of the all- phase time-shift difference method in the power harmonic detection[J]. Electrical Measurement Instrumentation, 2012, 49(7): 24-28. doi: 10.3969/ j.issn.1001-1390.2012.07.006.

姜成昊, 杨进华, 张丽娟, 等. 基于激光拍频高准确度相位式测距方法[J]. 光子学报, 2014, 43(9): 912006. doi: 10.3788/ gzxb20144309.0912006.

JIANG Chenghao, YANG Jinhua, ZHANG Lijuan, et al. High-precision phase-shift laser range finder system based on laser beat-frequency[J]. Acta Photonica Sinica, 2014, 43(9): 912006. doi: 10.3788/ gzxb20144309.0912006.

王兆华, 黄翔东. 数字信号全相位谱分析与滤波技术[M]. 北京: 电子工业出版社, 2009: 211-217.

WANG Zhaohua and HUANG Xiangdong. All-phase Spectral Analysis and Filtering for Digital Signals[M]. Beijing: Publishing House of Electronics Industry, 2009: 211-217.

方汉方, 黄勇, 蔡艺剧, 等. 超声波传输时间的高精度测量[J]. 信号处理, 2012, 28(4): 595-600. doi: 10.3969/j.issn.1003-0530. 2012.04.020.

FANG Hanfang, HUANG Yong, CAI Yiju, et al. High precision measurement of ultrasonic wave transmission time[J]. Signal Processing, 2012, 28(4): 595-600. doi: 10.3969/ j.issn.1003-0530. 2012.04.020.

孙向前, 李晴, 范展. 全相位频谱校正技术在水声通信中的应用研究[J]. 声学技术, 2015, 34(2): 127-133. doi: 10.16300/ j.cnki.1000-3630.2015.02.005.

SUN Xiangqian, LI Qing, and FAN Zhan. Research on the application of all-phase spectrum correction technique in underwater acoustic communication[J]. Technical Acoustics, 2015, 34(2): 127-133. doi: 10.16300/ j.cnki.1000-3630.2015. 02.005.

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