Estimating Random Amplitude Polynomial Phase Signals: A Cyclostationary Approach

IEEE Transactions on Signal Processing

Volumn 43, Issue 2, 1995, Pages 492-505

  Shamsunder, Sanyogita ^a   Giannakis, Georgios B ^b   Friedlander, Benjamin ^c  

^a Department of Environmental and Radiological Health Sciences   (United States)

^b UNIVERSITY OF VIRGINIA   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CYCLOSTATIONARY APPROACH; NONSTATIONARY SIGNALS; POLYNOMIAL PHASE SIGNALS; RANDOM AMPLITUDE;

ALGORITHMS; MATHEMATICAL MODELS; MATHEMATICAL TECHNIQUES; SIMULATORS; SPURIOUS SIGNAL NOISE; THEORY; TIME DOMAIN ANALYSIS;

SIGNAL PROCESSING;

EID: 0029254425     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.348131     Document Type: Article

References (33)

1. K. S. Arun and R. M. Liang, “Instantaneous amplitude and frequency estimation; Performance bounds and applications to source localization,” SPIE Proc., pp. 157-166, 1991.
2. S. Barbarossa, “Detection and estimation of the instantaneous frequency of polynomial-phase signals by multilinear time-frequency representations,” in Proc. IEEE-SP WorkshopHigher Order Statistics (Lake Tahoe, CA), June 7-9, 1993, pp. 168-172.
3. P. Bello, “Joint estimation of delay, Doppler, and Doppler rate,” IRE Trans. Inform. Theory, 1960, 330-341.
4. B. Boashash and P. J. O'Shea, “Time-varying higher-order spectra.” IEEE Trans. Signal Processing, pp. 216-220, Jan. 1994.
5. D. R. Brillinger, Time Series: Data Analysis and Theory. San Francisco: Holden-Day, 1981.
6. G. C. Carter and P. B. Abraham, “Estimation of source motion front time delay and time compression measurements,” J. Acoust. Soc. Amer., pp. 830-832, Mar. 1980.
7. C. Corduneanu, Almost Periodic Functions. New York: Wiley, 1968.
8. A. Dandawate and G. B. Giannakis, “Nonparametric polyspectral estimators for kth-order (almost) cyclostationary processes,” IEEE Trans. Inform. Theory, vol. 40, no. 1, pp. 67-84, Jan. 1994.
9. A. V. Dandawate and G. B. Giannakis, “Statistical tests for presence of cyclostationarity,” IEEE Trans. Signal Processing, vol. 42, pp. 2355-2369, Sept. 1994.
10. “Asymptotic theory of mixed time averages and kth-order cyclic-moment and cumulant statistics,” IEEE Trans. Inform. Theory, vol. 41, no. 1, pp. 216-233, Jan. 1995.
11. P. M. Djuric and S. M. Kay, “Parameter estimation of chirp signals.” IEEE Trans. Acoust. Speech Signal Processing, pp. 2118-2126, Dec. 1990.
12. R. F. Dwyer, “Fourth-order spectra of Gaussian amplitude-modulated sinusoids,” J. Acoust. Soc. Amer., vol. 90, pp. 918-926, Aug. 1991.
13. B. Friedlander, “Parametric signal analysis using the polynomial phase transform,” in Proc. IEEE-SP Workshop Higher Order Statistics (South Lake Tahoe, CA), June 7-9, 1993, pp. 151-159.
14. W. Gardner, “Exploiting spectral redundancy in cyclostationary signals,” Signal Processing Mag., pp. 14-36, Apr. 1991.
15. G. B. Giannakis and A. V. Dandawate, “Polyspectral analysis of (almost) cyclostationary signals : LPTV system identification and related applications,” in Proc. 25th Asilomar Conf. Signals, Syst., Comput. (Pacific Grove, CA), Nov. 4-6, 1991, pp. 377-382.
16. G. B. Giannakis and G. Zhou, “Retrieval of random amplitude modulated harmonics using cyclic statistics,” in Proc. Conf. Inform. Sci. Syst. (Johns Hopkins University, Baltimore, MD), Mar. 1993, pp. 650-655.
17. “Parameter estimation of cyclostationary amplitude modulated time series with application to missing observations,” IEEE Trans. Signal Processing, vol. 42, pp. 2408-2419, Sept. 1994.
18. O. Hirota and J. Toda, “Theory of multiplicative noise caused by coupling loss and amplitude vector rotation in optical communication channels,” IEEE Trans. Commun., vol. COM-13, pp. 992-999, Aug. 1983.
19. E. Kelly, “The radar measurement of range, velocity, and acceleration,” IRE Trans.Military Electron., vol. ME-5, pp. 51-57, Apr. 1962.
20. R. Kennedy, Fading Dispersive Communication Channels, New York: Wiley, 1969.
21. R. Kumaresan and S. Verma, “On estimating the parameters of chirp signals using rank reduction techniques.” in Proc. 21st Asilomar Conf. Signals, Syst. Comput. (Pacific Grove, CA), 1987, pp. 555-558.
22. S. Peleg and B. Friedlander, “A technique for estimating the parameters of multiple polynomial phase signals,” in Proc. Workshop Time Frequency Time Scale Analysis (Victoria, Canada), Oct. 1992, pp. 119-122.
23. S. Peleg and B. Porat, “Estimation and classification of polynomial-phase signals” IEEE Trans. Inform. Theory, pp. 422-430, Mar. 1991.
24. “The Cramer-Rao lower bound for signals with constant amplitude and polynomial phase,” IEEE Trans. Acoust., Speech, Signal Processing, pp. 749-752, Mar. 1991.
25. B. Porat, Digital Processing of Random Signals, Theory, and Methods. Englewood Cliffs, NJ: Prentice Hall, 1994.
26. R. S. Raghavan, “A method for estimating the parameters of K-distributed clutter,” IEEE Trans. Aerospace Electron. Syst., vol. 27, pp. 238-246, Mar. 1991.
27. A. W. Rihaczek, Principles of High-Resolution Radar. Los Altos, CA: Peninsula, 1985.
28. S. Shamsunder and G. B. Giannakis, “Estimation of multicomponent random amplitude polynomial phase signals using higher-order cyclic cumulants,” in Proc. Conf. Inform. Sci. Syst. (Johns Hopkins University, Baltimore, MD), Mar. 1993, 629-634.
29. “Detection and estimation of chirp signals in non-Gaussian noise,” in Proc. 27th Asilomar Conf. Signals, Syst., Comput. (Pacific Grove, CA), Nov. 1-3, 1993, pp. 1191-1195.
30. A. Swami, “Multiplicative noise models; parameter estimation using cumulants,” Signal Processing, pp. 355-374, Apr. 1994.
31. R. Urick, Principles of Underwater Sound. New York: McGraw-Hill, 1983.
32. H. L. Van Trees, Detection, Estimation and Modulation Theory: Part III, Radar-sonar Signal Processing and Gaussian Signals in Noise. New York: Wiley, 1971.
33. G. Zhou and G. B. Giannakis, “Polyspectral analysis of mixed processes and coupled harmonics,” to be published in IEEE Trans. Inform. Theory, 1995.