Real-complex conversion parametric estimation algorithm based on subtraction strategy

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (21) : 211-216.

CHEN Peng, TU Yaqing, LIU Yan, LI Ming, MOU Zelong

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Abstract

To suppress the influence of negative frequency component of a real signal on its parametric estimation, and improve the accuracy of parametric estimation, a real-complex conversion parametric estimation algorithm based on the subtraction strategy was proposed.Firstly, the sample signal was pre-processed with FFT algorithm to construct the reference signal only containing negative frequency components.Secondly, the subtraction strategy was used to subtract the reference signal from the sample one to realize the real-complex conversion.Then, the spectral interpolation analysis was done for the generated complex signal to obtain the estimated value of frequency offset.Finally, accurate estimated values of frequency, amplitude and initial phase were obtained with iterative calculation.Meanwhile, the estimated value for the signal to noise ratio (SNR) of the sample signal was solved through constructing the reference signal and using definitions of the subtraction strategy and SNR.The simulation test results indicated that the proposed algorithm can suppress the influence of negative frequency components, and have a good frequency estimation accuracy under conditions of different SNRs and frequencies, the mean square error of the frequency estimation value is closer to Cramer-Rao lower bound; it has good estimation performances for amplitude, initial phase and SNR of signals.

Key words

parametric estimation / subtraction strategy / real-complex conversion

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CHEN Peng, TU Yaqing, LIU Yan, LI Ming, MOU Zelong. Real-complex conversion parametric estimation algorithm based on subtraction strategy[J]. Journal of Vibration and Shock, 2020, 39(21): 211-216

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