Suboptimal estimation of signals from uncertain observations using approximations of mixtures

Digital Signal Processing: A Review Journal

Volumn 17, Issue 1, 2007, Pages 4-16

  Nakamori, S ^a   Hermoso Carazo, A ^b   Linares Perez J ^b  

^a KAGOSHIMA UNIVERSITY   (Japan)

^b UNIVERSITY OF GRANADA   (Spain)

Author keywords

Bayes estimator; Conditional distribution; Covariance information; Least squares estimation; Uncertain observations

Indexed keywords

ALGORITHMS; GAUSSIAN NOISE (ELECTRONIC); LEAST SQUARES APPROXIMATIONS; PARAMETER ESTIMATION; PROBABILITY;

BAYES ESTIMATOR; CONDITIONAL DISTRIBUTION; COVARIANCE INFORMATION; SUBOPTIMAL FILTERING ALGORITHM;

SIGNAL PROCESSING;

EID: 37849186904     PISSN: 10512004     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dsp.2006.08.004     Document Type: Article

References (10)

1. Hermoso A., and Linares J. Linear estimation for discrete-time systems in the presence of time-correlated disturbances and uncertain observations. IEEE Trans. Automat. Control 39 (1994) 1636-1638
2. Nanakara W., and Yaz E.E. Recursive estimator for linear and nonlinear systems with uncertain observations. Signal Process. 62 (1997) 215-228
3. Kailath T. A view of three decades of linear filtering theory. IEEE Trans. Inform. Theory 20 (1974) 146-181
4. Nakamori S. Recursive estimation technique of signal from output measurement data in linear discrete-time systems. IEICE Trans. Fundam. 78 (1995) 600-607
5. Nakamori S. Estimation technique using covariance information in linear discrete-time systems. Signal Process. 43 (1995) 169-179
6. Nakamori S., Caballero-Águila R., Hermoso-Carazo A., and Linares-Pérez J. Linear estimation from uncertain observations with white plus coloured noises using covariance information. Digital Signal Process. 13 (2003) 552-568
7. Nakamori S., Caballero-Águila R., Hermoso-Carazo A., and Linares-Pérez J. Fixed-interval smoothing from uncertain observations with white plus coloured noises using covariance information. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E87-A 5 (2004) 1209-1218
8. Nakamori S., Caballero-Águila R., Hermoso-Carazo A., and Linares-Pérez J. Fixed-point, fixed-interval and fixed-lag smoothing algorithms from uncertain observations based on covariances. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E87-A 12 (2004) 3350-3359
9. Kailath T. Lectures on Linear Least-Squares Estimation (1976), Springer-Verlag, Berlin
10. Titterington D.M., Smith A.F.M., and Makov U.M. Statistical Analysis of Finite Mixture Distributions (1985), Wiley, New York