On state-estimation of a two-state hidden Markov model with quantization

IEEE Transactions on Signal Processing

Volumn 49, Issue 1, 2001, Pages 202-208

  Shue, Louis ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; MARKOV PROCESSES; MATHEMATICAL MODELS; NONLINEAR FILTERING; STATE ESTIMATION;

HIDDEN MARKOV MODELS (HMM);

DIGITAL SIGNAL PROCESSING;

EID: 0035120836     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.890362     Document Type: Article

References (13)

1. G. R. Benitz and J. A. Bucklew, "Asymptotically optimal quantisers for detection of i.i.d. data," IEEE Trans. Inform. Theory, vol. 35, pp. 316-325, Mar. 1989.
2. T. M. Cover and J. A. Thomas, Elements of Information Theory. New York: Wiley, 1991.
3. S. A. Kassam, "Optimum quantization for signal detection," IEEE Trans. Commun., vol. COMM25, pp. 47984, May 1977.
4. R. Khasminskii and O. Zeitouni, "Asymptotic filtering for finite state Markov chains," Stochast. Process. Applicat., vol. 63, no. 1, pp. 1-10, 1996.
5. S. P. Lloyd, "Least squares quantization in PCM," IEEE Trans. Inform. Theory, vol. IT28, pp. 129-137, Mar. 1982.
6. J. Max, "Quantising for minimum distortion," IRE Trans. Inform. Theory, vol. IT6, pp. 7-12, Mar. 1960.
7. A. Papoulis, Probability, Random Variables and Stochastic Processes, 3rd ed. New York: McGraw-Hill, 1991.
8. H. V. Poor and D. Alexandrou, "A general relationship between two quantiser design criteria," IEEE Trans. Inform. Theory, vol. IT26, pp. 210-212, Mar. 1980.
9. L. R. Rabiner, "A tutorial on hidden Markov models and selected applications in speech recognition," Proc. IEEE, vol. 77, pp. 257-285, Feb. 1989.
10. E. Seneta, Non-Negative Matrices and Markov Chains, 2nd ed. New York: Springer-Verlag, 1981, ch. 3-4.
11. L. Shue, B. D. O. Anderson, and S. Dey, "Exponential stability of filters and smoothers for hidden Markov models," IEEE Trans. Signal Processing, vol. 46, pp. 2180-2194, Aug. 1998.
12. W. M. Wonham, "Some applications of stochastic differential equations to optimal nonlinear filtering," SIAM J. Contr., ser. A, vol. 2, no. 3, pp. 347-369, 1965.
13. J. Ziv, "On universal quantization," IEEE Trans. Inform. Theory, vol. IT31, pp. 344-347, May 1985.