Transactions of China Electrotechnical Society  2022, Vol. 37 Issue (6): 1338-1350    DOI: 10.19595/j.cnki.1000-6753.tces.201667
Current Issue| Next Issue| Archive| Adv Search |
Accurate Frequency Estimation Based on Analytical Interpolated Discrete Time Fourier Transform
Yang Chao1, Li Bo1,2, Hu Xuquan1,3, Fu Zhihong1
1. State Key Laboratory of Power Transmission Equipment & System Security and New TechnologyChongqing University Chongqing 400044 China;
2. Electric Power Research Institute of Yunnan Power Grid Co. Ltd Kunming 650217 China;
3. Chongqing Triloop Prospecting Technology Co. Ltd Chongqing 402660 China

Download: PDF (3500 KB)   HTML (1 KB) 
Export: BibTeX | EndNote (RIS)      
Abstract  When the cycles in record (CiR) of the signal is small, the spectral leakage from the image component is the main source of estimation errors in the frequency-domain interpolation. To eliminate the influence of spectral leakage and accurately estimate the frequency of a real sinusoidal signal with any CiR, an analytic interpolation algorithm based on generalized DTFT is proposed. The algorithm uses any DTFT spectral lines located in the main lobe of the spectrum to construct a linear equation set corresponding to the real and imaginary parts, and then an unbiased frequency estimator based on analytic interpolated DTFT is obtained. Besides, considering the influence of additive white noise in practice, a simple and effective iterative method is presented based on the analysis of the statistical characteristics of the frequency estimator. The iterative method ensures that the mean square errors (MSE) of the frequency estimation can consistently achieve the Cramer-Rao lower bound (CRLB) of the unbiased frequency estimation under any CiR. Simulation and experimental results confirm that the proposed algorithm is superior to other existing interpolated DFT algorithms.
Key wordsSmall cycles in record      spectral leakage      analytically interpolated discrete time fourier transform (DTFT)      iterative method      Cramer-Rao lower bound (CRLB)     
Received: 20 December 2020     
PACS: TM935  
Service
E-mail this article
Add to my bookshelf
Add to citation manager
E-mail Alert
RSS
Articles by authors
Yang Chao
Li Bo
Hu Xuquan
Fu Zhihong
Cite this article:   
Yang Chao,Li Bo,Hu Xuquan等. Accurate Frequency Estimation Based on Analytical Interpolated Discrete Time Fourier Transform[J]. Transactions of China Electrotechnical Society, 2022, 37(6): 1338-1350.
URL:  
https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.201667     OR     https://dgjsxb.ces-transaction.com/EN/Y2022/V37/I6/1338
Copyright © Transactions of China Electrotechnical Society
Supported by: Beijing Magtech