1. bookVolume 21 (2021): Issue 1 (February 2021)
Journal Details
License
Format
Journal
First Published
07 Mar 2008
Publication timeframe
6 times per year
Languages
English
access type Open Access

A Frequency-Time Algorithm of Parameter Estimation for Sinusoidal Signal in Noise

Journal Details
License
Format
Journal
First Published
07 Mar 2008
Publication timeframe
6 times per year
Languages
English
Abstract

In this paper, a computationally efficient and high precision parameter estimation algorithm with frequency-time combination is proposed to improve the estimation performance for sinusoidal signal in noise, which takes the advantages of frequency- and time-domain algorithms. The noise influence is suppressed through spectrum analysis to get coarse frequency, and the fine frequency is obtained by denoising filtering and using linear prediction property. Then, estimation values of the amplitude and initial phase are obtained. The numerical results indicate that the proposed algorithm makes up for the shortcomings of frequency- and time-domain algorithms and improves the anti-interference performance and parameter estimation accuracy for sinusoidal signal.

Keywords

[1] Tu, Y.Q., Shen, Y.L., Zhang, H.T., Li, M. (2016). Phase and frequency matching-based signal processing method for Coriolis mass flowmeters. Measurement Science Review, 16 (2), 61-66. Search in Google Scholar

[2] Shen, Y.L., Tu, Y.Q. (2016). Correlation theory-based signal processing method for CMF signals. Measurement Science and Technology, 27 (6), 065006. Search in Google Scholar

[3] Tu, Y.Q., Shen, T.A. Zhang, H.T., Li, M. (2014). Two new sliding DTFT algorithms for phase difference measurement based on a new kind of windows. Measurement Science Review, 14 (6), 350-356. Search in Google Scholar

[4] Sun, J., Aboutanios, E., Smith, D., Fletcher, J. (2020). Robust frequency, phase, and amplitude estimation in power systems considering harmonics. IEEE Transaction on Power Delivery, 35 (3). Search in Google Scholar

[5] Jafarpisheh, B., Madani, S.M., Shahrtash, S.M. (2017). A new DFT-based phasor estimation algorithm using high-frequency modulation. IEEE Transaction on Power Delivery, 32 (6), 2416-2423. Search in Google Scholar

[6] Duda, K., Barczentewicz, S. (2014). Interpolated DFT for sinα(x) windows. IEEE Transaction Instrumentation and Measurement, 63 (4), 754-760. Search in Google Scholar

[7] Djukanović, S. (2016). An accurate method for frequency estimation of a real sinusoid. IEEE Signal Processing Letters, 23 (7), 915-918. Search in Google Scholar

[8] Ye, S.L., Sun, J., Aboutanios, E. (2017). On the estimation of the parameters of a real sinusoid in noise. IEEE Signal Processing Letters, 24 (5), 638-642. Search in Google Scholar

[9] So, H., Chan, K., Chan, Y., Ho, K. (2005). Linear prediction approach for efficient frequency estimation of multiple real sinusoids: Algorithms and analyses. IEEE Transaction on Signal Processing, 53 (7). Search in Google Scholar

[10] Cao, Y., Wei, G., Chen, F. (2012). A closed-form expanded autocorrelation method for frequency estimation of a sinusoid. Signal Processing, 92 (4), 885-892. Search in Google Scholar

[11] Roy, R., Kailath, T. (1989). ESPRIT-Estimation of signal parameters via rotational invariance techniques. IEEE Transaction on Acoustics, Speech, and Signal Processing, 37 (7), 984-995. Search in Google Scholar

[12] So, H., Chan, Y. (2005). Short-time frequency estimation of a real sinusoid. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, E88-A (9), 2455-2459. Search in Google Scholar

[13] Shen, Y.L., Tu, Y.Q., Chen, L.J., Shen, T.A. (2015). A phase match based frequency estimation method for sinusoidal signals. Review of Scientific Instrument, 86 (4), 721-726. Search in Google Scholar

[14] Tu, Y.Q., Shen, Y.L. (2017). Phase correction autocorrelation-based frequency estimation method for sinusoidal signal. Signal Processing, 130, 183-189. Search in Google Scholar

[15] Duda, K., Zielinski, T. (2013). Efficacy of the frequency and damping estimation of a real-value sinusoid. IEEE Instrumentation & Measurement Magazine, 16 (2), 48-58. Search in Google Scholar

[16] Steven, M.K. (1993). Fundamentals of Statistical Signal Processing: Estimation Theory, Vol. 1. Pearson, ISBN 978-0133457117. Search in Google Scholar

Recommended articles from Trend MD

Plan your remote conference with Sciendo