Approximate maximum-likelihood algorithms for two-dimensional frequency estimation of a complex sinusoid

IEEE Transactions on Signal Processing

Volumn 54, Issue 8, 2006, Pages 3231-3237

  So, Hing Cheung ^a   Chan, Frankie Kit Wing ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Frequency estimation; Iterative algorithm; Linear prediction; Maximum likelihood estimation

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; FORECASTING; ITERATIVE METHODS; MAXIMUM LIKELIHOOD ESTIMATION; SIGNAL TO NOISE RATIO;

FREQUENCY ESTIMATION; ITERATIVE ALGORITHM; LINEAR PREDICTION;

WHITE NOISE;

EID: 33746575739     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2006.877654     Document Type: Article

References (18)

1. S. M. Kay, Modern Spectral Estimation: Theory and Application. Englewood Cliffs, NJ: Prentice-Hall, 1988.
2. S. Kay and R. Nekovei, "An efficient two-dimensional frequency estimator," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, no. 10, pp. 1807-1809, Oct. 1990.
3. Y. Hua, "Estimating two-dimensional frequencies by matrix enhancement and matrix pencil," IEEE Trans. Signal Process., vol. 40, no. 9, pp. 2267-2280, Sep. 1992.
4. M. P. Clark and L. L. Scharf, "Two-dimensional modal analysis based on maximum likelihood," IEEE Trans. Signal Process., vol. 42, no. 6, pp. 1443-1452, Jun. 1994.
5. C. R. Rao, L. Zhao, and B. Zhou, "Maximum likelihood estimation of 2-D superimposed exponential signals," IEEE Trans. Signal Process., vol. 42, no. 7, pp. 1795-1802, Jul. 1994.
6. A. Sourice, G. Plantier, and J.-L. Saumet, "Two-dimensional frequency estimation using autocorrelation phase fitting," in Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), Hong Kong, Apr. 2003, vol. 3, pp. 445-448.
7. P. Stoica and R. Moses, Spectral Analysis of Signals. Upper Saddle River, NJ: Prentice-Hall, 2005.
8. S. A. Tretter, "Estimating the frequency of a noisy sinusoid by linear regression," IEEE Trans. Inf. Theory, vol. 31, pp. 832-835, Nov. 1985.
9. G. W. Lank, I. S. Reed, and G. E. Pollon, "A senticoherent detection and Doppler estimation statistic," IEEE Trans. Aerosp. Electron. Syst., vol. 9, pp. 151-165, Mar. 1973.
10. S. Kay, "A fast and accurate single frequency estimator," IEEE Trans. Acoust., Speech, Signal Process., vol. 37, no. 12, pp. 1987-1990, Dec. 1989.
11. H. Chien, "2-D estimation from AR models," Ph.D. dissertation, Elect. Eng. Dept., Univ. of Rhode Island, Kingston, RI, 1981.
12. R. Kumaresan, L. L. Scharf, and A. K. Shaw, "An algorithm for polezero modeling and spectral analysis," IEEE Trans. Acoust., Speech, Signal Process., vol. 34, no. 6, pp. 637-640, Jun. 1986.
13. Y. Bresler and A. Macovski, "Exact maximum likelihood parameter estimation of superimposed exponential signals in noise," IEEE Trans. Acoust., Speech, Signal Process., vol. 34, no. 10, pp. 1081-1089, Oct. 1986.
14. G. C. Goodwin and R. L. Payne, Dynamic System Identification: Experiment Design and Data Analysis. New York: Academic, 1977, pp. 46-50.
15. H. C. So and K. W. Chan, "A generalized weighted linear predictor frequency estimation approach for a complex sinusoid," IEEE Trans. Signal Processing, vol. 54, no. 4, pp. 1304-1315, Apr. 2006.
16. B. Völcker and P. Händel, "Frequency estimation from proper sets of correlations," IEEE Trans. Signal Process., vol. 50, no. 4, pp. 791-802, Apr. 2002.
17. M. L. Fowler and J. A. Johnson, "Extending the threshold and frequency range for phase-based frequency estimation," IEEE Trans. Signal Process., vol. 47, no. 10, pp. 2857-2863, Oct. 1999.
18. H. Lutkepohl, Handbook of Matrices. New York: Wiley, 1996.