Abstract：To eliminate the influence of negative frequency component of a real sinusoid signal on the frequency estimation, a real-to-complex-transformation frequency estimation algorithm based on iterative interpolation was proposed.The sampled signal frequency was pre-estimated, the reference signal was constructed and the orthogonal component of the sampled signal was obtained through 90 degree phase shift.Then, the sampled signal and its orthogonal component were synthesized into a complex signal to realize the real-to-complex-transformation, and the influence of the negative frequency component was thus suppressed.On this basis the complex signal frequency was estimated by using an iterative interpolation algorithm, the reference signal and orthogonal component and complex signal were rebuilt, and the exact frequency value was identified by estimating the frequency of the complex signal.The results of simulation experiments indicate that the proposed algorithm eliminates the influence of negative frequency components, improves the anti-interference property and estimation accuracy.The root mean square errors of the frequency estimation are closer to the Cramer-Rao lower bound (CRLB).Moreover, the efficacy of the proposed method was validated by measurement experiments on LFMCW radars.
陈 鹏, 涂亚庆, 李 明, 张海涛. 基于迭代插值的实复转换频率估计算法[J]. 振动与冲击, 2019, 38(18): 35-39.
CHEN Peng, TU Yaqing, LI Ming, ZHANG Haitao. Real-to-complex-transformation frequency estimation algorithm based on iterative interpolation. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(18): 35-39.
[1] Duda K, Magalas L B, Majewski M, et al. DFT-based Estimation of Damped Oscillation Parameters in Low-Frequency Mechanical Spectroscopy [J]. IEEE Transactions on Instrumentation & Measurement, 2011, 60(11):3608-3618.
[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 Tingao, TU Yaqing, ZHANG Haitao, 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 Aijun, 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] Cao Y, Wei G, Chen F J. A closed-form expanded autocorrelation method for frequency estimation of a sinusoid [J]. Signal Processing, 2012, 92(4):885-892.
[5] Tu Y Q, Shen Y L, Zhang H T, et al. Phase and Frequency Matching-based Signal Processing Method for Coriolis Mass Flowmeters[J]. Measurement Science Review, 2016, 16(2):62-67.
[6] Harris F J. On the use of windows for harmonic analysis with the discrete Fourier transform [J]. IEEE Proceedings, 1978, 66(1):51-83.
[7] Kenefic R J, Nuttall A H. Maximum likelihood estimation of the parameters of a tone using real discrete data [J]. IEEE Journal of Oceanic Engineering, 1987, 12(1):279-280.
[8] Duda K and Barczentewicz S. Interpolated DFT for sinα(x) windows [J]. IEEE Transaction on. Instrumentation &. Measurement,2014, 63(4):754-760.
[9] Djukanović S. An Accurate Method for Frequency Estimation of a Real Sinusoid [J]. IEEE Signal Processing Letters, 2016, 23(7):915-918.
[10] Kay S M. Fundamentals of Statistical Signal Processing, Volume III (Paperback) [J]. Detection Theory, 1993, 37(4):465-466.
[11] ABOUTANIOS E, MULGREW B. Iterative frequency estimation by interpolation on Fourier coefficients [J]. IEEE Transactions on Signal Processing, 2005, 53(4):1237-1242.
