Abstract
The estimation of real sinusoid frequency is a significant problem in many scientific fields. The positive- and negative-frequency components of a real sinusoid interact with each other in the frequency spectrum. This leads to estimation bias. In this paper, we proposed an algorithm which is based on maximum sidelobe decay (MSD) windows. Firstly, the coarse frequency estimate is obtained by using Discrete Fourier Transform (DFT) and MSD windows. Then the negative-frequency component is removed by frequency shift. At last, the fine frequency estimation is performed by a high-precision frequency estimation algorithm. Simulation results show that the proposed algorithm has higher accuracy and better frequency estimation performance than AM algorithm, Candan algorithm, and Djukanovic algorithm.
This work are supported by the 2021 scientific research projects of Liaoning Provincial Department of Education under Grant LJKZ0515, LJKZ0519, LJKZ0518.
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References
Rife, D.C., Boorstyn, R.R.: Single-tone parameter estimation from discrete-time observations. IEEE Trans. Inform. Theory 55(9), 591–598 (1974)
Fu, H., Kam, P.Y.: MAP/ML estimation of the frequency and phase of a single sinusoid in noise. IEEE Trans. Signal Process. 55(3), 834–845 (2007)
Dutra, A.J.S., de Oliveira, J.F.L.: High-precision frequency estimation of real sinusoids with reduced computational complexity using a model-based matched-spectrum approach. Digit. Signal Process. 34(1), 67–73 (2014)
Lui, K.W., So, H.C.: Modified Pisarenko harmonic decomposition for single-tone frequency estimation. IEEE Trans. Signal Process. 56(7), 3351–3356 (2008)
Tu, Y.Q., Shen, Y.L.: Phase correction autocorrelation-based frequency estimation method for sinusoidal signal. Signal Process. 130, 183–189 (2017)
Cao, Y., Wei, G.: An exact analysis of modified covariance frequency estimation algorithm based on correlation of single-tone. Signal Process. 92(11), 2785–2790 (2012)
Elasmi-Ksibi, R., Besbes, H.: Frequency estimation of real-valued single-tone in colored noise using multiple autocorrelation lags. Signal Process. 90(7), 2303–2307 (2010)
Lui, K.W.K., So, H.C.: Two-stage autocorrelation approach for accurate single sinusoidal frequency estimation. Signal Process. 88(7), 1852–1857 (2008)
Cao, Y., Wei, G.: A closed-form expanded autocorrelation method for frequency estimation of a sinusoid. Signal Process 92(4), 885–892 (2012)
Rife, D.C., Vincent, G.A.: Use of the discrete Fourier transform in the measurement of frequencies and levels of tones. Bell Syst. Tech. J. 49(2), 197–228 (1970)
Liang, X., Liu, A.: A new and accurate estimator with analytical expression for frequency estimation. IEEE Commun. Lett. 20(1), 105–108 (2016)
Djukanović, S., Popović, T.: Precise sinusoid frequency estimation based on parabolic interpolation. In: 2016 24th Telecommunications Forum (TELFOR), Belgrade, Serbia, pp. 1–4 (2016)
Quinn, B.G.: Estimation of frequency, amplitude, and phase from the DFT of a time series. IEEE Trans. Signal Process. 45, 814–817 (1997)
Yang, C., Wei, G.: A noniterative frequency estimator with rational combination of three spectrum lines. IEEE Trans. Signal Process. 59(10), 5065–5070 (2011)
Jacobsen, E., Kootsookos, P.: Fast, accurate frequency estimators. IEEE Signal Process. Mag. 24, 123–125 (2007)
Candan, C.: A method for fine resolution frequency estimation from three DFT samples. IEEE Signal Process. Lett. 18(6), 351–354 (2011)
Liao, J.-R., Chen, C.-M.: Phase correction of discrete Fourier transform coefficients to reduce frequency estimation bias of single tone complex sinusoid. Signal Process. 94, 108–117 (2014)
Aboutanios, E., Mulgrew, B.: Iterative frequency estimation by interpolation on Fourier coefficients. IEEE Trans. Signal Process. 53(4), 1237–1242 (2005)
Candan, C.: Analysis and further improvement of fine resolution frequency estimation method from three DFT samples. IEEE Signal Process. Lett. 20(9), 913–916 (2013)
Fan, L., Qi, G.Q.: Frequency estimator of sinusoid based on interpolation of three DFT spectral lines. Signal Process. 144, 52–60 (2018)
Serbes, A.: Fast and efficient sinusoidal frequency estimation by using the DFT coefficients. IEEE Trans. Commun. 67(3), 2333–2342 (2019)
Andria, G., Savino, M.: Windows and interpolation algorithms to improve electrical measurement accuracy. IEEE Trans. Instrum. Meas. 38(4), 856–863 (1989)
Rife, D.C., Boorstyn, R.R.: Multiple tone parameter estimation from discrete-time observations. Bell Syst. Tech. J. 55(9), 1389–1410 (1976)
Chen, S., Li, D.: Accurate frequency estimation of real sinusoid signal. In: 2010 2nd International Conference on Signal Processing Systems, vol. 3, pp. v3370–v3372 (2010)
Candan, C.: Fine resolution frequency estimation from three DFT samples: case of windowed data. Signal Process. 114, 245–250 (2015)
Djukanović, S.: An accurate method for frequency estimation of a real sinusoid. IEEE Signal Process. Lett. 23(7), 915–918 (2016)
Qi, G.Q.: Detection and Estimation: Principles and Applications. Publishing House of Electronics Industry (2011)
Liu, J., Fan, L., Li, R., He, W., Liu, N., Liu, Z.: An accurate frequency estimation algorithm by using DFT and cosine windows. In: Gao, H., Fan, P., Wun, J., Xiaoping, X., Yu, J., Wang, Y. (eds.) ChinaCom 2020. LNICSSITE, vol. 352, pp. 688–697. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-67720-6_47
Belega, D., Petri, D.: Frequency estimation by two- or three-point interpolated Fourier algorithms based on cosine windows. Signal Process. 117, 115–125 (2015)
Fan, L., Qi, G.Q.: Frequency estimator of sinusoid by interpolated DFT method based on maximum sidelobe decay windows. Signal Process. 186, 108–125 (2021)
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Liu, Z., Fan, L., Jin, J., Li, R., Liu, J., Liu, N. (2022). Accurate Frequency Estimator of Real Sinusoid Based on Maximum Sidelobe Decay Windows. In: Gao, H., Wun, J., Yin, J., Shen, F., Shen, Y., Yu, J. (eds) Communications and Networking. ChinaCom 2021. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 433. Springer, Cham. https://doi.org/10.1007/978-3-030-99200-2_4
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