Volume 33 Issue 05
May  2007
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Li Chunyu, Zhang Xiaolin, Zhang Zhan, et al. Phase estimation of sinusoid signal based on DFT and error analysis[J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(05): 580-584. (in Chinese)
Citation: Li Chunyu, Zhang Xiaolin, Zhang Zhan, et al. Phase estimation of sinusoid signal based on DFT and error analysis[J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(05): 580-584. (in Chinese)

Phase estimation of sinusoid signal based on DFT and error analysis

  • Received Date: 31 May 2006
  • Publish Date: 31 May 2007
  • A fast and accurate estimation technique of initial phase of single-tone signal based on the phase of discrete Fourier transforms (DFT) spectrum was proposed. The initial phase is obtained by removing the frequency item in the multinomial using the DFT coefficient which is from two discrete sinusoid signal sequences of different length. The root mean square error (RMSE) formula of initial phase estimation under Gaussian white noise was derived that presents the relationship among RMSE, fast Fourier transforms (FFT) length and signal noise ratio (SNR). The parameters in the formula were studied and optimized to minimize the RMSE. The process of which is to solve the integer programming problem with the objective function that RMSE is minimal. Through Monte Carlo simulation, the performance of the improved technique was compared with other typical algorithms and Cramer-Rao lower bound (CRLB), the RMSE formula is found to be effective.

     

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  • [1] Jain V K, Collins W L, Davis D C. High-accuracy analog measurements via interpolated FFT [J]. IEEE Trans on IM, 1979, 28 (2):113-122 [2] Dusan Agrez. Improving phase estimation with leakage minimization [J]. IEEE Trans on IM, 2005,54(4):1347-1353 [3] 齐国清,贾欣乐. 基于DFT相位的正弦波频率和初相的高精度估计方法[J]. 电子学报,2001,29(9):1164-1167 Qi Guoqing, Jia Yule. High-accuracy frequency and phase estimation of single-tone based on phase of DFT [J]. Acta Electronica Sinica, 2001, 29(9):1164-1167(in Chinese) [4] 刘渝. 正弦波频率快速估计方法[J]. 数据采集与处理, 1998, 13(1):8-11 Liu Yu. Fast frequency estimation of single tone [J]. Journal of Data Acquisition & Processing, 1998, 13(1):8-11 (in Chinese) [5] 刘渝. 快速高精度正弦波频率估计综合算法[J]. 电子学报,1999,27(6):126-128 Liu Yu. A fast and accurate single frequency estimator synthetic approach [J]. Acta Electronica Sinica, 1999,27(6):126-128 (in Chinese) [6] 齐国清. 利用FFT相位差校正信号频率和初相估计的误差分析[J]. 数据采集与处理,2003,18(1):7-11 Qi Guoqing. Error analysis of frequency and phase estimations based on phase difference of segmented FFTs [J]. Journal of Data Acquisition & Processing, 2003, 18(1):7-11(in Chinese) [7] Rife D C, Boorstyn P R. Single tone parameter estimation from discrete-time observations [J]. IEEE Trans Info Theory, 1974, IT-20(5):591-598 [8] Christ D Richmond. On the probability of resolution for the amplitude and phase estimation (APES) spectral estimation The 30th International Conference on Acoustics, Speech, and Signal Processing (ICASSP2005). Philadelphia, USA:IEEE, 2005:iv/1025 - iv/1028
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