Parameter estimation of 2-D random amplitude polynomial-phase signals

IEEE Transactions on Signal Processing

Volumn 47, Issue 7, 1999, Pages 1795-1810

  Francos, Joseph M ^a   Friedlander, Benjamin ^b  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b University of California Davis   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DATA PROCESSING; MATHEMATICAL MODELS; PARAMETER ESTIMATION; POLYNOMIALS; PROBABILITY DENSITY FUNCTION; SIGNAL PROCESSING; STATISTICAL METHODS; WHITE NOISE;

CRAMER-RAO LOWER BOUNDS; ERROR VARIANCE; MEAN PHASE DIFFERENCING OPERATOR; POLYNOMIAL PHASE SIGNALS; RANDOM AMPLITUDE; WHITE GAUSSIAN NOISE;

SIGNAL THEORY;

EID: 0032671279     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.771030     Document Type: Article

References (18)

1. S. M. Song, S. Napel, N. J. Pèle, and G. H. Glover, "Phase unwrapping of MR phase images using Poisson equation," IEEE Trans. Image Processing, vol. 4, pp. 667-676, 1995.
2. L. Axel and D. Morton, "Correction of phase unwrapping in magnetic resonance imaging," Med. Phys., vol. 16, pp. 284-287, 1989.
3. M. Hedley and D. Rosenfeld, "A new two-dimensional phase unwrapping algorithm for MRI images," Magn. Reson. Med., vol. 24, pp. 177-181, 1992.
4. T. R. Judge and P. J. Bryanston-Cross, "A review of phase unwrapping techniques in fringe analysis," Opt. Lasers Eng., vol. 21, pp. 199-239, 1994.
5. L. C. Graham, "Synthetic interferometer radar for topographic mapping," Proc. IEEE, vol. 62, pp. 763-768, 1974.
6. Q. Lin, J. F. Vesecky, and H. A. Zebker, "New approaches in interferometric SAR data processing," IEEE Trans. Geosci., Remote Sensing, vol. 30, pp. 560-567, 1992.
7. S. Peleg and B. Porat, "Estimation and classification of polynomialphase signals," IEEE Trans. Inform. Theory, vol. 37, pp. 422-4130, 1991.
8. B. Friedlander and J. M. Francos, "An estimation algorithm for 2-D polynomial phase signals," IEEE Trans. Image Processing, vol. 5, pp. 1084-1087, June 1996.
9. J. M. Francos and B. Friedlander, "Two-dimensional polynomial phase signals: Parameter estimation and bounds," Multidimen. Syst. Signal Process., vol. 9, no. 2, pp. 173-205, 1998.
10. S. Shamsundar, G. B. Giannakis, and B. Friedlander, "Estimating random amplitude polynomial phase signals: A cyclostationary approach," IEEE Trans. Signal Processing, vol. 43, pp. 492-505, 1995.
11. J. M. Francos and B. Friedlander, "Optimal parameter selection in the phase differencing algorithm for 2-D phase estimation and unwrapping," IEEE Trans. Signal Processing, accepted for publication.
12. U. Spagnolini, "2-D phase unwrapping and instantaneous frequency estimation," IEEE Trans. Geosci. Remote Sensing, vol. 33, pp. 579-589, 1995.
13. B. J. Super and A. C. Bovik, "Shape from texture using local spectral moments," IEEE Trans. Pattern Anal. Machine Intel!., vol. 17, pp. 333-343, 1995.
14. T. L. Marzetta, "Two-dimensional linear prediction: Autocorrelation arrays, minimum-phase prediction error filters and reflection coefficient arrays," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-28, pp. 725-733, 1980.
15. B. Porat and B. Friedlander, "Computation of the exact information matrix of Gaussian time series with stationary random components," IEEE Trans. Acoust., Speech, Signal Processing, vol. 34, pp. 118-130, Jan. 1986.
16. J. M. Francos and B. Friedlander, "Parameter estimation of twodimensional moving average random fields," IEEE Trans. Signal Processing, vol. 46, pp. 2157-2165, Aug. 1998.
17. C. R. Rao, Linear Statistical Inference and Its Applications. New York: Wiley, 1965.
18. B. Porat, Digital Processing of Random Signals. Englewood Cliffs, NJ: Prentice-Hall, 1994.