Continuous ARMA spectral estimation from irregularly sampled observations

Conference Record - IEEE Instrumentation and Measurement Technology Conference

Volumn 2, Issue , 2004, Pages 923-927

  Lahalle, E ^a   Fleury, G ^a   Rivoira, A ^a  

^a SUPELEC   (France)

Author keywords

CARMA models; Non uniform sampling context; Parametric spectral estimation; Pseudo correlation concept

Indexed keywords

DIFFERENTIAL EQUATIONS; NUMERICAL METHODS; OPTIMIZATION; PARAMETER ESTIMATION; POISSON DISTRIBUTION; PROBABILITY DENSITY FUNCTION; SPECTRUM ANALYSIS; VECTORS;

CARMA MODELS; NON UNIFORM SAMPLING; PARAMETRIC SPECTRAL ESTIMATION; PSEUDO-CORRELATION CONCEPT;

SIGNAL PROCESSING;

EID: 4644372768     PISSN: 10915281     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/IMTC.2004.1351213     Document Type: Conference Paper

References (11)

1. M. Gaster and J.B.Robert,"Spectral analysis of randomly sampled signals,"J. Inst. Maths Applics, vol. 15, PP. 195-216, 1975.
2. R. H. Jones,"Fitting a continuous time autoregression to discrete tate"Applied Time Series Analysis III, pp. 651-682, 1981.
3. T. Söderström,"Computing stochastic continuous-time models from ARMA models,"Int. J. Control, vol. 53 PP. 1311-1326, 1991.
4. A. Rivoira, Y. Moudden and G. Fleury, "Real-time continuous AR parameter estimation from randomly sampled observations," IEEE International Conference on Acoustic Speech and Signal Processing, Orlando, USA, vol. II, pp. 1725-1728, May 2002.
5. R. Bos, S. de Waele, P. M. T. Broersen, "AR spectral estimation by application of the Burg algorithm to irregularly sampled data," IEEE Instrumentation and Measurement Technology Conference, Budapest, Hungary, pp. 1208-1213, May 2001.
6. L. H. Benedict, H. Nobach, and C. Tropea, "Estimation of turbulent velocity spectra from laser Doppler data," Measurement Sci. Technol., vol. 11, pp. 1089-1104, 2000.
7. L. Nita and J. Oksman, "Fast generation of synthetic non uniformly sampled signals: from quantized to continuous sampling intervals," 13th International Conference on Digital Signal Processing, NY, USA, vol. 2, pp. 1059-1062, 1997.
8. T. Söderström, "Computing stochastic continuous-time models from ARMA models," 13th Int. J. Control, vol. 53, pp. 1311-1326, 1991.
9. O. Boubal, É. Lahalle and L. Nita, "Engine dynamics identi£cation in the case of non uniformly sampled data," IEEE Instrumentation and Measurement Technology Conference, Baltimore, USA, pp. 1024-1029, May 2000.
10. P.J. Brockwell, O. Stramer, "On the approximation of continuous time threshold ARMA processes," Ann. Inst. Statist. Math.,vol. 47, n1,pp. 1-20, 1995.
11. A. Rivoira, G. Fleury, "A consistent non parametric spectral estimator for randomly sampled signals," to appear in IEEE Transaction on Signal Processing.