Cyclo-period estimation for discrete-time cyclo-stationary signals

IEEE Transactions on Signal Processing

Volumn 54, Issue 1, 2006, Pages 83-94

  Wang, Jiandong ^a   Chen, Tongwen ^a   Huang, Biao ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Blocking; Cyclo period estimation; Cyclo stationary signals; Variability method

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; ESTIMATION; STATISTICAL METHODS;

CYCLO-PERIOD ESTIMATION; CYCLO-STATIONARY SIGNALS; VARIABILITY METHOD;

SIGNAL PROCESSING;

EID: 30344472989     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2005.859237     Document Type: Article

References (47)

1. S. Akkarakaran and P. P. Vaidyanathan, "Bifrequency and bispectrum maps: a new look at multirate systems with stochastic inputs," IEEE Trans. Signal Process., vol. 48, no. 3, pp. 723-736, Mar. 2000.
2. V. G. Alekseev, "Estimating the spectral densities of a Gaussian periodically correlated stochastic process," Prob. Inform. Trans., vol. 24, no. 2, pp. 109-115, 1988.
3. P. Bloomfield, H. L. Hurd, and R. B. Lund, "Periodic correlation in stratospheric ozone data," J. Tunes Ser. Anal., vol. 15, no. 2, pp. 127-150, 1994.
4. G. E. P. Box, G. M. Jenkins, and G. C. Reinsel, Time Series Analysis: Forecasting and Control. Englewood Cliffs, NJ: Prentice-Hall, 1994.
5. W. A. Brown and H. H. Loomis, "Digital implementations of spectral correlation analyzers," IEEE Trans. Signal Process., vol. 41, no. 2, pp. 703-720, Feb. 1993.
6. C. S. Burros, R. A. Gopinath, and H. Guo, Introduction to Wavelets and Wavelet Transforms: A Primer. Upper Saddle River, NJ: Prentice-Hall, 1998.
7. T. Chen and B. A. Francis, Optimal Sampled-Data Control Systems. London, U.K.: Springer-Verlag, 1995.
8. J. W. Cooley and J. W. Tukey, "An algorithm for the machine computation of complex Fourier series," Math. Comput., vol. 9, pp. 297-301, 1965.
9. A. V. Dandawaté and G. B. Giannakis, "Nonparametric polyspectral estimators for kth-order (almost) cyclo-stationary processes," IEEE Trans. Inform. Theory, vol. 40, no. 1, pp. 67-84, Jan. 1994.
10. A. V. Dandawaté and G. B. Giannakis, "Statistical tests for presence of cyclo-stationarity," IEEE Trans. Signal Process., vol. 42, no. 9, pp. 2355-2369, Sep. 1994.
11. P. Erdos, J. Suranyi, and B. Guiduli, Topics in the Theory of Numbers. New York: Springer-Verlag, 2003.
12. W. A. Gardner, Statistical Spectral Analysis: A Nonprobabilistic Theory. Englewood Cliffs, NJ: Prentice-Hill, 1988.
13. W. A. Gardner, "Identification of systems with cyclo-stationary input and correlated input/output measurement noise," IEEE Trans. Autom., Control, vol. 35, no. 4, pp. 449-452, Apr. 1990.
14. W. A. Gardner, Introduction to Random Processes With Application to Signals and Systems, 2nd ed. New York: McGraw-Hill, 1990.
15. W. A. Gardner, "An introduction to cyclo-stationary signals," in cyclo-stationarity in Communications and Signal Processing, W. A. Gardner, Ed. Piscataway, NJ: IEEE Press, 1994.
16. G. B. Giannakis, "Polyspectral and cyclo-stationary approaches for identification of closed-loop systems," IEEE Trans. Autom. Control, vol. 40, no. 5, pp. 882-885, May 1995.
17. G. B. Giannakis, "cyclo-stationary signal analysis," in Digital Signal Processing Handbook. Boca Raton, FL: CRC, 1999.
18. E. G. Gladyshev, "Periodically correlated random sequence," Soviet Math., vol. 2, pp. 385-388, 1961.
19. N. R. Goodman, "Statistical tests for stationarity within the framework of harmonizable processes," Rockeydyne, Canoga Park, CA, Research Rep. AD619 270, 1965.
20. G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1988.
21. M. H. Hayes, Statistical Digital Signal Processing and Modeling. New York: Wiley, 1996.
22. L. J. Herbst, "The statistical Fourier analysis of variances," J. R. Statist. Soc., vol. B 27, pp. 159-165, 1965.
23. H. L. Hurd and N. L. Gerr, "Graphical methods for determining the presence of periodic correlation," J. Times Ser. Anal., vol. 12, no. 4, pp. 337-350, 1991.
24. D. Koenig and J. Boehme, "Application of cyclo-stationarity and time-frequency analysis to engine car diagnostics," in Proc. Int. Conf. ASSP, Adelaide, Australia, 1994, pp. 149-152.
25. D. G. Manolakis, V. K. Ingle, and S. M. Kogon, Statistical and Adaptive Signal Processing: Spectral Estimation, Signal Modeling, Adaptive Filtering and Array Processing. New York: McGraw-Hill, 2000.
26. D. E. K. Martin and B. Kedem, "Estimation of the period of periodically correlated sequences," J. Times Ser. Anal., vol. 14, no. 2, pp. 193-205, 1993.
27. D. E. K. Martin, "Detection of periodic autocorrelation in time series data via zero-crossing," J. Times Ser. Anal., vol. 20, no. 4, pp. 435-452, 1999.
28. A. C. McCormick and A. K. Nandi, "cyclo-stationarity in rotating machine vibrations," Mech. Syst. Signal Process., vol. 12, no. 2, pp. 225-242, 1998.
29. R. A. Meyer and C. S. Burrus, "A unified analysis of multirate and periodically time-varying digital filters," IEEE Trans. Circuits Syst., vol. CAS-22, no. 3, pp. 162-168, Mar. 1975.
30. D. D. Muresan and T. W. Parks, "Orthogonal, exactly periodic subspace decomposition," IEEE Trans. Signal Process., vol. 51, no. 9, pp. 2270-2279, Sep. 2003.
31. S. Ohno and H. Sakai, "Optimization of filter banks using cyclo-stationary spectral analysis," IEEE Trans. Signal Process., vol. 44, no. 11, pp. 2718-2725, Nov. 1996.
32. A. Papoulis, Probability, Random Variables and Stochastic Processes. New York: McGraw-Hill, 1965.
33. B. Porat, A Course in Digital Signal Processing. New York: Wiley, 1997.
34. M. B. Priestly, Non-Linear and Non-Stationary Time Series Analysis. London, U.K.: Academic, 1989.
35. R. S. Roberts, W. A. Brown, and H. H. Loomis Jr., "Computationally efficient algorithms for cyclic spectral analysis," IEEE Signal Process. Mag., vol. 8, no. 2, pp. 38-49, Feb. 1991.
36. H. Sakai and S. Ohno, "Theory of cyclo-stationary processes and its application," in Statistical Methods in Control and Signal Processing. New York: Marcel Dekker, 1997, pp. 327-354.
37. V. P. Sathe and P. P. Vaidyanathan, "Effects of multirate systems on the statistical properties of random signals," IEEE Trans. Signal Process., vol. 41, no. 1, pp. 131-146, Jan. 1993.
38. W. A. Sethares and T. W. Staley, "Periodicity transforms," IEEE Trans. Signal Process., vol. 47, no. 11, pp. 2953-2964, Nov. 1999.
39. T. G. Stockham Jr., "High-speed convolution and correlation," in AFIPS Proc. 1966 Spring Joint Computer Conf., vol. 28, 1966, pp. 229-233.
40. C. W. Therrien, "Overview of statistical signal processing," in Digital Signal Processing Handbook. Boca Raton, FL: CRC, 1999.
41. C. J. Tian, "A limiting property of sample autocovariances of periodically correlated processes with application to period determination," J. Times Ser. Anal., vol. 9, no. 4, pp. 411-417, 1988.
42. L. Tong, G. Xu, and T. Kailath, "Blind identification and equalization based on second-order statistics: A time domain approach," IEEE Trans. Inform. Theory, vol. 40, no. 2, pp. 340-349, Feb. 1994.
43. L. Tong, G. Xu, B. Hassibi, and T. Kailath, "Blind identification and equalization based on second-order statistics: A frequency-domain approach," IEEE Trans. Inform. Theory, vol. 41, no. 1, pp. 329-334, Jan. 1995.
44. L. Sun, H. Ohmori, and A. Sano, "Frequency domain approach to closed-loop identification based on output inter-sampling scheme," in Proc. Amer. Control Conf., vol. 3, Chicago, IL, 2000, pp. 1802-1806.
45. J. Wang, T. Chen, and B. Huang, "Closed-loop identification via output fast sampling," J. Process Control, vol. 14, no. 5, pp. 555-570, 2004.
46. J. Wang, T. Chen, and B. Huang, "On spectral theory of cyclo-stationary signals in multirate systems," IEEE Trans. Signal Process., vol. 53, no. 7, pp. 2421-2431, Jul. 2005.
47. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1993.