DOI 10.17586/0021-3454-2017-60-9-812-817
UDC 681.5.015
PARAMETERS ESTIMATION OF A SINUSOIDAL SIGNAL WITH NON-STATIONARY AMPLITUDE
ITMO University, Saint Petersburg, 197101, Russian Federation; Associate Professor
A. A. Bobtsov
ITMO University, Saint Petersburg, 197101, Russian Federation; Head of the School of Computer Technologies and Control, Professor at the Faculty of Control Systems and Robotics, Head of the Adaptive and Nonlinear Control Systems Lab
A. A. Pyrkin
ITMO University, Saint Petersburg, 197101, Russian Federation; Full Professor, Dean
Read the full article
Abstract. A method is proposed for a sinusoidal signal parameters estimation, when the time-varying amplitude of the signal is the product of a known function and unknown coefficient. A new parametrization approach is applied to obtaine linear regression model. The estimation algorithm for the model and initial signal parameters is synthesyzed on the base of standart gradient method. The parameters estimation errors are shown to converge exponentialy to zero.
Keywords: identification, signal processing, frequency estimation, non-stationary signals
References:
References:
- Stoica P., Li H., Li J. IEEE Transact. on Signal Processing, 2000, no. 2(48), рр. 338–352.
- Pyrkin A.A., Bobtsov A.A., Nikiforov V.O., Kolyubin S.A., Vedyakov A.A., Borisov O.I., Gromov V.S. Automation and Remote Control, 2015, no. 12, рр.43–64. (in Russ.)
- Aphale S.S., Bhikkaji B., Moheimani S.O.R. IEEE Transact. on Nanotechnology, 2008, no. 1(7), рр.79–90.
- Phan A.T., Hermann G., Wira P. Proc. of the 18th Mediterranean Electrotechnical Conf. (MELECON),2016, рp. 1–6.
- Xia Y., Douglas S., Mandic D. IEEE Signal Process. Mag., 2012, no. 5(29), рр. 44–54.
- Pyrkin A.A., Bobtsov A.A., Vedyakov A.A., Kolyubin S.A.Automat. Remote Control,2015, no. 8(76), рр. 1400–1416.
- Fedele G., Ferrise A., D’Aquila G. American Control Conf. (ACC),2016, рp. 7001–7006.
- Hou M. IEEE Transact. on Automat. Control, 2012, no. 2(57), рр.467–472.
- Marino R., Tomei P. Eur. Control Conf. IEEE,2014, рp. 7–12.
- Manglik A., Li W., Ahmad S.U. IEEE Canadian Conf. on Electrical and Computer Engineering (CCECE), 2016, рp. 1–4.
- Ljung L. System Identification: Theory for the User, Upper Saddle River, PTR Prentice Hall, 1999. 609 p.
- Ioannou P.A., Sun J. Robust adaptive control, California, PTR Prentice-Hall, 1996.