Abstract
In this paper, we consider the estimation of the sinusoidal frequency-modulated (FM) signal parameters in high-noise environments. For this purpose, we have combined the Viterbi algorithm for the estimation of the instantaneous frequency with the recently proposed technique for the parametric estimation of the FM signals based on the short-time Fourier transform. The proposed technique gives the accurate parameters estimation of the Cramer–Rao lower bound for signal-to-noise ratio of −2dB.
Similar content being viewed by others
References
Chen, V.C., Li, F., Ho, S.-S., Wechsler, H.: Micro-Doppler effect in radar: phenomenon, model, and simulation study. IEEE Trans. Aerosp. Electron. Syst. 42(1), 2–21 (2006)
Thayaparan, T., Abrol, S., Riseborough, E., Stanković, LJ., Lamothe, D., Duff, G.: Analysis of radar micro-Doppler signatures from experimental helicopter and human data. IET Radar Sonar Navig. 1(4), 289–299 (2007)
Stanković, LJ., Thayaparan, T., Daković, M., Popović-Bugarin, V.: Micro-Doppler removal in the radar imaging analysis. IEEE Trans. Aerosp. Electron. Syst. 49(2), 1234–1250 (2013)
Stanković, LJ., Thayaparan, T., Djurović, I.: Separation of target rigid body and micro-Doppler effects in ISAR imaging. IEEE Trans. Aerosp. Electron. 42(4), 1496–1505 (2006)
Thayaparan, T., Stanković, LJ., Djurović, I.: Micro-Doppler human signature detection and its application to gait recognition and indoor imaging. J. Frankl. Inst. 345(6), 700–722 (2008)
Arslan, M.T., Tofighi, M., Çetin, A.E.: Range resolution improvement in FM-based passive radars using deconvolution. Signal Image Video Process. 10(8), 1481–1488 (2016)
Saeedi, J., Alavi, S.M.: Improved navigation-based motion compensation for LFMCW synthetic aperture radar imaging. Signal Image Video Process. 10(2), 405–412 (2016)
Gini, F., Giannakis, G.B.: Hybrid FM-polynomial phase signal modeling: parameter estimation and Cramer-Rao bounds. IEEE Trans. Signal Process. 47(2), 363–377 (1999)
Gini, F., Giannakis, G. B.: Parameter estimation of hybrid hyperbolic FM and polynomial phase signals using the multi-lag high-order ambiguity function. In: Asilomar Conference on Signals, Systems and Computers (1997). doi:10.1109/ACSSC.1997.680178
Djurović, I., Popović-Bugarin, V., Simeunović, M.: The STFT-based estimator of micro-Doppler parameters. IEEE Trans. Aerosp. Electron. Syst. doi:10.1109/TAES.2017.2669741
Wang, P., Orlik, P.V., Sadamoto, K., Tsujita, W., Gini, F.: Parameter estimation of hybrid sinusoidal FM-polynomial phase signal. IEEE Signal Process. Lett. 24(1), 66–70 (2017)
Yang, P., Liu, Z., Jiang, W.-L.: Parameter estimation of multi-component chirp signals based on discrete chirp Fourier transform and population Monte Carlo. Signal Image Video Process. 9(5), 1137–1149 (2015)
Djurović, I., Simeunović, M.: Combined HO-CPF and HO-WD PPS estimator. Signal Image Video Process. 9(6), 1395–1400 (2015)
Djurović, I., Simeunović, M., Wang, P.: Cubic phase function: a simple solution for polynomial phase signal analysis. Signal Process. 135, 48–66 (2017)
Djurović, I., Stanković, LJ.: STFT-based estimator of polynomial phase signals. Signal Process. 92(11), 2769–2774 (2012)
Djurović, I., Stanković, LJ.: Quasi maximum likelihood estimator of polynomial phase signals. IET Signal Process. 13(4), 347–359 (2014)
Mohammadi, M., Pouyan, A.A., Khan, N.A.: A highly adaptive directional time-frequency distribution. Signal Image Video Process. 10(7), 1396–1377 (2016)
Ren, H., Ren, A., Li, Z.: A new strategy for the suppression of cross-terms in pseudo Wigner-Ville distribution. Signal Image Video Process. 10(1), 139–144 (2016)
Pham, D.S., Zoubir, A.M.: Analysis of multicomponent polynomial phase signals. IEEE Trans. Signal Process. 55(1), 56–65 (2007)
Djurović, I., Stanković, LJ.: An algorithm for the Wigner distribution based instantaneous frequency estimation in a high noise environment. Signal Process. 84(3), 631–643 (2004)
Stanković, LJ., Djurović, I., Stanković, S., Simeunović, M., Daković, M.: Instantaneous frequency in time-frequency analysis: enhanced concepts and performance of estimation algorithms. Digit. Signal Process. 35, 1–13 (2014)
Aboutanios, E., Mulgrew, B.: Iterative frequency estimation by interpolation on Fourier coefficients. IEEE Trans. Signal Process. 53(4), 1237–1242 (2005)
Conru, C., Djurović, I., Ioana, C., Quinquis, A., Stanković, LJ.: Time–frequency detection using Gabor filter banks and Viterbi based grouping algorithm. In: Proceedings of IEEE ICASSP’2005, Philadelphija, USA, vol. 4, pp. 497–500 (2005)
Djurović, I.: Viterbi algorithm for chirp-rate and instantaneous frequency estimation. Signal Process. 91(5), 1308–1314 (2011)
Stanković, LJ., Djurović, I., Ohsumi, A., Ijima, H.: Instantaneous frequency estimation by using Wigner distribution and Viterbi algorithm. In: Proceedings of ICASSP 2003, Hong Kong, China, vol. VI, pp. 121–124 (2003)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Djurović, I. Estimation of sinusoidal frequency-modulated signal parameters in high-noise environment. SIViP 11, 1537–1541 (2017). https://doi.org/10.1007/s11760-017-1117-4
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11760-017-1117-4