Minimum-mean-square-error filters for detecting a noisy target in background noise

Applied Optics

Volumn 35, Issue 35, 1996, Pages 6964-6975

  Javidi, Bahram ^a   Parchekani, Farokh ^a,b   Zhang, Guanshen ^a  

^a UNIVERSITY OF CONNECTICUT   (United States)

^b Massachusetts R and D Laboratory   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000224467     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.35.006964     Document Type: Article

References (21)

1. A. B. VanderLugt, “Signal detection by complex spatial filtering,” IEEE Trans. Inf. Theory IT-10, 139-145 (1964).
2. H. J. Caulfield and W. T. Maloney, “Improved discrimination in optical character recognition,” Appl. Opt. 8, 2354-2356 (1969).
3. D. Casasent and D. Psaltis, “Position, rotation, and scale-invariant optical correlation,” Appl. Opt. 15,1795-1799 (1976).
4. D. L. Flannery and J. L. Horner, “Fourier optical signal processors,” Proc. IEEE 77, 1511-1527 (1989).
5. J. L. Horner and P. D. Gianino, “Phase-only matched filtering,” Appl. Opt. 23, 812-816 (1984).
6. J. L. Horner and J. R. Leger, “Pattern recognition with binary phase-only filters,” Appl. Opt. 24, 609-611 (1985).
7. D. Psaltis, E. G. Paek, and S. S. Venkatesh, “Optical image correlation with a binary spatial light modulator,” Opt. Eng. 23, 698-704 (1984).
8. B. Javidi and J. Wang, “Optimum distortion-invariant filter for detecting a noisy distorted target in nonoverlapping background noise,” J. Opt. Soc. Am. A 12, 2604-2617 (1995).
9. F. M. Dickey and B. D. Hansche, “Quad-phase correlation filters for pattern recognition,” Appl. Opt. 28, 1611-1613 (1989).
10. B. Javidi, “Generalization of the linear matched filter concept to nonlinear matched filters,” Appl. Opt. 29, 1215-1224 (1990).
11. M. A. Kaura and W. T. Rhodes, “Optical correlator performance using a phase-with-constrained-magnitude complex spatial filter,” Appl. Opt. 29, 2587-2593 (1990).
12. J. L. Horner, “Metrics for assessing pattern-recognition performance,” Appl. Opt. 31, 165-166 (1992).
13. Ph. Refregier, “Filter design for optical pattern recognition: multicriteria optimization approach,” Opt. Lett. 15, 854-856 (1990).
14. B. Javidi and J. Wang, “Limitation of the classic definition of the correlation signal-to-noise ratio in optical pattern recognition with disjoint signal and noise,” Appl. Opt. 31, 6826-6829 (1992).
15. Ph. Refregier, “Optimal trade-off filters for noise robustness, sharpness of the correlation peak, and Horner efficiency,” Opt. Lett. 16, 829-831 (1991).
16. A. Mahalanobis, B. V. K. V. Kumar, and D. Casasent, “Minimum average correlation energy filters,” Appl. Opt. 26, 3633-3640 (1987).
17. M. Fleisher, U. Mahlab, and J. Shamir, “Entropy optimized filter for pattern recognition,” Appl. Opt. 29, 2091-2098 (1990).
18. B. Javidi, Ph. Refregier, and P. Willett, “Optimum receiver design for pattern recognition with nonoverlapping target and scene noise,” Opt. Lett. 18, 1660-1662 (1993).
19. Ph. Refregier, B. Javidi, and G. Zhang, “Minimum mean square error filter for pattern recognition with spatially disjoint signal and scene noise,” Opt. Lett. 18, 1453-1455 (1993).
20. B. Javidi, Ph. Refregier, G. Zhang, and F. Parchekani, “Performance of minimum mean-square-error filter for spatially nonoverlapping target and input scene noise,” Appl. Opt. 33, 8197-8209 (1994).
21. B. V. K. Vijaya Kumar, F. M. Dickey, and J. M. DeLaurentis, “Correlation filters minimizing peak location errors,” J. Opt. Soc. Am. A 9, 678-682 (1992).