Asymptotic analysis of an algorithm for parameter estimation and identification of 1-b quantized AR time series

IEEE Transactions on Signal Processing

Volumn 44, Issue 1, 1996, Pages 62-73

  Krishnamurthy, Vikram ^a,b   Poor, H Vincent ^a,c  

^a IEEE

^b UNIVERSITY OF MELBOURNE   (Australia)

^c Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC ANALYSIS; BINARY SERIES ESTIMATION; GAUSSIAN AUTOREGRESSIVE TIME SERIES; MULTIPLICATIVE NOISE; QUANTIZED NOISY MEASUREMENTS; YULE-WALKER METHODS;

ALGORITHMS; COMPUTER SIMULATION; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PARAMETER ESTIMATION; RANDOM PROCESSES; REGRESSION ANALYSIS; SIGNAL THEORY; SPURIOUS SIGNAL NOISE; TIME SERIES ANALYSIS;

SIGNAL PROCESSING;

EID: 0029732542     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.482012     Document Type: Article

References (15)

1. B. Kedem, Binary Time Series (Lecture Notes in Pure and Applied Mathematics), vol. 52. New York: Marcel Dekker, 1980.
2. _, Time Series Analysis by Higher Order Crossings. New York: IEEE, 1994.
3. P. J. Brockwell and R. A. Davis, Time Series: Theory and Methods, 2nd ed., Springer Series in Statistics. New York: Springer Verlag, 1991.
4. V. Krishnamurthy and I. M. Y. Mareels, "Estimation of noisy quantized Gaussian time-series with randomly varying coefficients," IEEE Trans. Signal Processing, vol. 43, no. 5, pp. 1285-1290, May 1995.
5. "Estimation of quantized linear error-in-variables models," Automatica, vol. 31, no. 10, pp. 1459-1464, Oct. 1995.
6. L. Fahrmeir and H. Kaufmann, "Regression models for non-stationary categorical time series," J. Time Series Anal., vol. 8, no. 2, 1987.
7. A. Zakhor and A. V. Oppenheim, "Reconstruction of two-dimensional signals from level crossings," Proc. IEEE, vol. 78, no. 1, 1990.
8. L. A. Rusch and H. V. Poor, "Narrowband interference suppression in CDMA spread spectrum communications," IEEE Trans. Commun., vol. 42, no. 2, Feb/Mar./Apr. 1994.
9. R. Vijayan and H. V. Poor, "Nonlinear techniques for interference suppression in spread spectrum systems," IEEE Trans. Commun, vol. 38, pp. 1060-1065, July 1991.
10. D. B. Owen, "Orthant probabilities," in Kotz-Johnson Encyclopaedia of Statistical Sciences, vol. 6. New York: Wiley, 1988, pp. 521-523.
11. J. Klotz, "Statistical inference in Bernoulli trials with dependence," Ann. Stat., vol. 1, no. 2, pp. 373-379, 1973.
12. D. F. Nicholls and B. G. Quinn, "The estimation of random coefficient autoregressive models. I," J. Time Series Anal., vol. 1, no. 1, pp. 37-46, 1980.
13. S. Haykin, Communication Systems. New York: Wiley, 1983.
14. R. A. Perley, F. R. Schwab, and A. H. Bridle, "Synthesis imaging in radio astronomy," in Proc. Astron. Soc. Pacific Conf. Series, vol. 6, 1989.
15. N. Merhav, M. Gutman and J. Ziv, "On the estimation of a Markov chain and universal data compression," IEEE Trans. Inform. Theory, vol. IT-35, pp. 1014-1019, 1989.