实复转换式衰减信号参数估计算法

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (14) : 53-58.

论文

实复转换式衰减信号参数估计算法

陈鹏1，涂亚庆1，沈艳林2，牟泽龙1，李明1

作者信息 +

Real-to-complex-transformation parameter estimation algorithm for damped real-value sinusoidal signals

CHEN Peng1，TU Yaqing1，SHEN Yanlin2，MOU Zelong1，LI Ming1

Author information +

文章历史 +

摘要

为抑制衰减实信号中负频率成分对参数估计的影响，提出一种实复转换式参数估计算法。首先，预估计采样信号频谱能量最大值点的索引值；其次，构造只含有负频率成分的参考信号，并将采样信号和参考信号相减实现实复转换，以抑制负频率频谱泄漏的影响；然后，利用频谱两点插值算法得到频率偏差、衰减因子和复幅值的粗估计值，并重新生成参考信号和复信号；最后，通过迭代计算得到精确的频率、衰减因子、初幅值和初相位估计值。以频率估计为例的仿真实验结果表明：所提算法可有效地抑制负频率频谱泄漏的影响，提高中高信噪比条件下的频率估计精度，特别是信号频率较低时的频率估计精度，提升了频率估计的综合性能。此外，在科氏流量计中进行了实测实验，检验了所提算法的有效性。

Abstract

To suppress the influence of negative frequency component of a damp real-value sinusoidal signal on parameter estimation, a real-to-complex-transformation parameter estimation algorithm is proposed. First, the index number bin of spectrum of sampled signal with the highest magnitude is pre-estimated. Second, the reference signal that only contains negative frequency component is constructed, and the real-value signal is converted into a complex-value signal by subtracting the reference signal form the sampled signal to suppress the spectrum leakage influence of the negative frequency component. Then, the coarse frequency offset, damping factor and complex amplitude are estimated by a two-point spectrum interpolation algorithm, and the reference signal and the complex signal are rebuilt. Finally, the signal parameters, i.e. frequency, damping factor, initial amplitude and initial phase are obtained by an iterative procedure. The results of simulation experiments for frequency estimation indicate that the proposed method can eliminate the influence of negative frequency component, improve estimation accuracy under medium or high SNRs, especially, the signal frequency is low, and improves the overall performance of frequency estimation. Moreover, the measurement experiments are performed on Coriolis mass flowmeter, and the efficacy of the proposed method is validated.

导出引用

陈鹏1，涂亚庆1，沈艳林2，牟泽龙1，李明1. 实复转换式衰减信号参数估计算法[J]. 振动与冲击, 2020, 39(14): 53-58

CHEN Peng1，TU Yaqing1，SHEN Yanlin2，MOU Zelong1，LI Ming1. Real-to-complex-transformation parameter estimation algorithm for damped real-value sinusoidal signals[J]. Journal of Vibration and Shock, 2020, 39(14): 53-58

参考文献

[1] DUDA K, ZIELINSKI T P. Efficacy of the frequency and damping estimation of a real-value sinusoid [J]. IEEE Instrumentation & Measurement Magazine, 2013, 16(2):48-58.
[2] 沈廷鳌, 涂亚庆, 张海涛, 等. 一种改进的自适应格型陷波频率估计算法及其收敛性分析[J]. 振动与冲击, 2013, 32(24):28-32.
SHEN Ting-ao, TU Ya-qing, ZHANG Hai-tao, et al. A modified frequency estimation method of adaptive lattice notch filter and its convergence analysis [J]. Journal of Vibration and Shock, 2013, 32(24):28-32.
[3] 胡爱军, 朱瑜. 基于改进峰值搜索法的旋转机械瞬时频率估计[J]. 振动与冲击, 2013, 32(7):113-117.
HU Ai-jun, ZHU Yu. Instantaneous frequency estimation of a rotating machinery based on an improved peak search method [J]. Journal of Vibration and Shock, 2013, 32(7):113-117.
[4] 霍兵勇, 易伟建. 多频率衰减振动系统阻尼参数识别[J]. 振动与冲击, 2015, 34(18):190-194.
HUO Bing-yong, YI Wei-jian. Damping parameter identification by using free-decay response with the help of discrete deconvolution technique [J]. Journal of Vibration and Shock, 2015, 34(18):190-194.
[5] Xu Chan-na. A method to determine the characteristics of Coriolis flowmeters measuring tube [C]// Assoc Prof Jan Holub, XXI IMEKO WORLD CONGRESS, Prague, 2015: 1140-1143.
[6] PINTELON R, SCHOUKENS J. System identification: a frequency domain approach [M]. IEEE Press., 2012.
[7] BORKOWSKI D, BIEN A. Improvement of Accuracy of Power System Spectral Analysis by Coherent Resampling [J]. IEEE Transactions on Power Delivery, 2009, 24(3):1004-1013.
[8] ABOUTANIOS E. Estimation of the Frequency and Decay Factor of a Decaying Exponential in Noise [J]. IEEE Transactions on Signal Processing, 2010, 58(2):501-509.
[9] QIAN Fengyong, LEUNG S H, Zhu Yuesheng, et al. Damped sinusoidal signals parameter estimation in frequency domain [J]. Signal Processing, 2012, 92(2):381-391.
[10] ABOUTANIOS E, YE Shanglin. Efficient Iterative Estimation of the Parameters of a Damped Complex Exponential in Noise [J]. IEEE Signal Processing Letters, 2014, 21(8):975-979.
[11] ANDRIA G, SAVINO M, TROTTA A. Windows and interpolation algorithms to improve electrical measurement accuracy [J]. IEEE Transactions on Instrumentation & Measurement, 1989, 38(4):856-863.
[12] WU Rongching, CHIANG Chingtai. Analysis of the Exponential Signal by the Interpolated DFT Algorithm [J]. IEEE Transactions on Instrumentation & Measurement, 2010, 59(12):3306-3317.
[13] YAO Yingxian, PANDIT S M. Cramer-Rao Lower Bounds for a Damped Sinusoidal Process [J]. IEEE Transactions on Signal Processing, 1995, 43(4):878-885.