Performance characterization of a non-linear system as both an adaptive notch filter and a phase-locked loop

International Journal of Adaptive Control and Signal Processing

Volumn 18, Issue 1, 2004, Pages 23-53

  Karimi Ghartemani, M ^a   Ziarani, A K ^b  

^a UNIVERSITY OF TORONTO   (Canada)

^b Wallace H Coulter School of Engineering   (United States)

Author keywords

Adaptive notch filter; Dynamical system; Frequency estimation; Phase locked loop

Indexed keywords

ACOUSTIC VARIABLES CONTROL; ALGORITHMS; COMPUTER SIMULATION; DISCRETE FOURIER TRANSFORMS; ELECTRICAL ENGINEERING; NOTCH FILTERS; PHASE LOCKED LOOPS; ROBUSTNESS (CONTROL SYSTEMS); STANDBY POWER SYSTEMS; VIBRATION CONTROL;

ADAPTIVE NOTCH FILTERS; DYNAMICAL SYSTEMS; FREQUENCY ESTIMATION; NON-LINEAR SYSTEMS;

ADAPTIVE CONTROL SYSTEMS;

EID: 1342286935     PISSN: 08906327     EISSN: None     Source Type: Journal    
DOI: 10.1002/acs.780     Document Type: Article

References (29)

1. Hsu L, Ortega R, Damm G. A globally convergent frequency estimator. IEEE Transactions on Automatic Control 1999; 44(4):698-713.
2. Clarke DW. On the design of adaptive notch filters. International Journal of Adaptive Control and Signal Processing 2001; 15(7):715-744.
3. Chambers JA, Constantinides AG. Frequency tracking using constrained adaptive notch filters synthesized from allpass sections. IEE Proceedings, Part F: Radar and Signal Processing 1990; 137(6):475-481.
4. Handel P, Nehorai A. Tracking analysis of an adaptive notch filter with constrained poles and zeros. IEEE Transactions on Signal Processing 1994; 42(2):281-291.
5. Strobach P. Single section least squares adaptive notch filter. IEEE Transactions on Signal Processing 1995; 43(8):2007-2010.
6. Dragosevic MV, Stankovic SS. An adaptive notch filter with improved tracking properties. IEEE Transactions on Signal Processing 1995; 43(9):2068-2078.
7. Tichavsky P, Nehorai A. Comparative study of four adaptive frequency trackers. IEEE Transactions on Signal Processing 1997; 45(6):1473-1484.
8. Karhunen JT, Joutsensalo J. Sinusoidal frequency estimation by signal subspace approximation. IEEE Transactions on Signal Processing 1992; 40(12):2961-2972.
9. Gang L. A stable and efficient adaptive notch filter for direct frequency estimation. IEEE Transactions on Signal Processing 1997; 45(8):2001-2009.
10. Regalia PA. An improved lattice-based adaptive IIR notch filter. IEEE Transactions on Signal Processing 1991; 39(9):2124-2128.
11. Regalia PA. Adaptive IIR Filtering in Signal Processing and Control. Marcel Dekker: New York, 1995.
12. Gough PT. A fast spectral estimation algorithm based on the FFT. IEEE Transactions on Signal Processing 1994; 42(6):1317-1322.
13. Chicargo JF, Ng TS. Gradient-based adaptive IIR notch filtering for frequency estimation. IEEE Transactions on Acoustics, Speech, and Signal Processing 1990; 38(5):769-777.
14. Cho NI, Lee SU. On the adaptive lattice notch filter for the detection of sinusoids. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 1993; 40(7):405-416.
15. Kuo SM, Ji M. Passband disturbance reduction in periodic active noise control systems. IEEE Transactions on Speech and Audio Processing 1996; 4(2):96-103.
16. Oh SH, Park Y. Active noise control algorithm using IIR-based filter. Journal of Sound and Vibration 2000; 231(5):1396-1412.
17. Fuller C, von Flotow A. Active control of sound and vibration. IEEE Control Systems Magazine 1996; 15(6):9-19.
18. Bodson M, Douglas SC. Adaptive algorithms for the rejection of sinusoidal disturbances with unknown frequency. Automatica 1997; 33(12):2213-2221.
19. Herzog R, Buhler P, Gahler C, Larsonneur R. Unbalance compensation using generalized notch filters in the multivariable feedback of magnetic bearings. IEEE Transactions on Control Systems Technology 1996; 4(5):580-586.
20. Lai MF, Nakano M. Special section on phase-locked loop techniques. IEEE Transactions on Industrial Electronics 1996; 43(6):607-608.
21. Hsieh GC, Hung JC. Phase-locked loop techniques - a survey. IEEE Transactions on Industrial Electronics 1996; 43(6):609-615.
22. Razavi B. Monolithic Phase-Locked Loops and Clock Recovery Circuits, Theory and Design. IEEE: New York, 1996.
23. Gardner FM. Phase Lock Techniques. Wiley: Chichester, 1979.
24. Stephens DR. Phase-Locked Loops for Wireless Communications, Digital and Analog Implementations. Kluwer: The Netherlands, 1998.
25. Giordano AA. Least Square Estimation with Applications to Digital Signal Processing. John Wiley & Sons: New York, 1985.
26. Widrow B, Stearns SD. Adaptive Signal Processing. Prentice-Hall: New Jersey, 1985.
27. Guckenheimer J, Holmes P. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Springer-Verlag: New York, 1983.
28. Hale JK. Ordinary Differential Equations. John Wiley & Sons: New York, 1969.
29. Wiggins S. Introduction to Applied Nonlinear Dynamical Systems and Chaos. Springer-Verlag: New York, 1983.