Abstract
Signals with sinusoidal frequency modulation (FM) are the general form of micro-Doppler signals in radar echoes from targets with micro-motions. This paper derives the cyclic autocorrelation function of a sinusoidal FM signal using its cyclostationary characteristics, and estimates the parameters of amplitude, modulation index, micro-motion period and noise power based on cyclic autocorrelation function. The estimation method is robust in noise environment when compared with conventional time-frequency analysis methods. Finally, the performances of estimation by utilizing the simulation data and darkroom measurement are shown in tables. The Monte-Carlo simulation results show that the estimator is asymptotically optimal at SNR above −6 dB.
Similar content being viewed by others
References
Chen V C, Li F Y, Ho S S, et al. Analysis of micro-Doppler signatures. IEE Proc Radar Sonar Navig, 2003, 150: 173–192
Chen V C. Micro-Doppler effect of micro-motion dynamics: A review. In: Bell A J, Wickerhauser M V, Szu H H, eds. Independent Component Analyses, Wavelets, and Neural Networks (Proceedings of SPIE), Bellingham: Society of Photo-Optical, 2003. 240–249
Chen V C, Li F Y, Ho S S. Micro-Doppler effect in radar-phenomenon, model and simulation study. IEEE Trans Aerosp Electron Syst, 2006, 42: 2–21
Chen V C. Doppler signatures of radar back-scattering from objects with micro-motions. IET Signal Process, 2008, 2: 291–300
Chen V C, Ling H. Time-Frequency transforms for radar imaging and signal analysis. Norwood: Artech House Press, 2002. 173–192
Thayaparan T, Abrol S, Riseborough E. Analysis of radar micro-Doppler signatures from experimental helicopter and human data. IET Radar Sonar Navig, 2007, 1: 141–146
Thayaparan T, Stankovic L, Djurovic I. Micro-Doppler-based target detection and feature extraction indoor and outdoor environments. J Frankl Inst, 2008, 345: 700–722
Liu Y X, Li X, Zhuang Z W. Estimation of micro-motion parameters based on micro-Doppler. IET Signal Process, 2010, 4: 213–217
Gardner W A, Napolitano A, Paura L. Cyclostationarity: half a century of research. Signal Process, 2006, 86: 639–697
Antoni J. Cyclostationary by examples. Mech Syst Signal Proc, 2009, 23: 987–1036
Li K, Liu Y, Huo K, et al. Estimation of micro-motion parameters based on cyclostationary analysis. IET Signal Process, 2010, 4: 218–223
Zhang Q, Yeo T S, Tan H, et al. Imaging of a moving target with rotating parts based on the Hough transform. IEEE Trans Geosci Remote Sensing, 2008, 46: 291–299
He S, Zhou J X, Zhao H Z, et al. Analysis and extraction of stepped frequency radar signature for micro-motion structure. IET Radar Sonar Navig, 2009, 3: 484–492
Huang Z, Zhou Y, Jiang W. Researches on cyclostationary signal processing and its applications. Beijing: Science Press, 2006. 37–42
Gardner W A. The spectral correlation theory of cyclostationary time-series. Signal Process, 1986, 11: 13–36
Gardner W A, Brown W, Chen C. Spectral correlation of modulated signals (Part I and II). IEEE Trans Commun, 1987, 35: 584–601
Oppenheim A V, Alan S, Willsky S, et al. Signals and System. 2nd ed. Englewood Cliffs: Prentice Hall International Ltd, 1997. 202–220
Abramowitz M, Stegun I A, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. New York: Dover, 1972. 358–370
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Niu, J., Li, K., Jiang, W. et al. A new method of micro-motion parameters estimation based on cyclic autocorrelation function. Sci. China Inf. Sci. 56, 1–11 (2013). https://doi.org/10.1007/s11432-012-4687-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11432-012-4687-3