Optimal realizable filters and the minimum euclidean distance principle

Applied Optics

Volumn 32, Issue 26, 1993, Pages 5100-5111

  Juday, Richard D ^a  

^a NASA JOHNSON SPACE CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BANDPASS FILTERS; SIGNAL TO NOISE RATIO;

CORRELATION DETECTION; EUCLIDEAN DISTANCE; MAXIMUM CORRELATIONS; MINIMUM EUCLIDEAN DISTANCES; PARTIAL INFORMATION; REALISTIC DEVICES; SIGNAL DEPENDENT NOISE; SPATIAL LIGHT MODULATORS;

LIGHT MODULATORS; OPTICAL DEVICES;

COMPLEX FILTER VALUES; EUCLIDEAN DISTANCE MINIMIZATION; OPTIMAL REALIZABLE FILTERS; PARVESAL'S RELATION;

EID: 0027652517     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.32.005100     Document Type: Article

References (26)

1. B. V. K. Vijaya Kumar, “A tutorial review of partial-information filter designs for optical correlators,” Asia Pacific Eng. J. Part A 2, 203-215 (1992).
2. R. D. Juday, “Optical correlation with a cross-coupled spatial light modulator,” in Spatial Light Modulators and Applications, Vol. 8 of 1988 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1988) pp. 238-241.
3. R. D. Juday, “Correlation with a spatial light modulator having phase and amplitude cross coupling,” Appl. Opt. 28, 4865-4869(1989).
4. M. W. Farn and J. W. Goodman, “Optimal maximum correlation filter for arbitrarily constrained devices,” Appl. Opt. 28, 3362-3366(1989).
5. B. V. K. Vijaya Kumar, R. D. Juday, and P. K. Rajan, “Saturated filters,” J. Opt. Soc. Am. A 9, 405-412 (1992).
6. R. D. Juday and J. M. Florence, “Full complex modulation with two one-parameter SLM’s,” in Wave Propagation and Scattering in Varied Media, V. K. Varadan, ed., Proc. Soc. Photo-Opt. Instrum. Eng. 1558, 499-504 (1991).
7. J. M. Florence and R. D. Juday, “Full complex spatial filtering with a phase mostly DMD,” in Wave Propagation and Scattering in Varied Media, V. K. Varadan, ed., Proc. Soc. Photo-Opt. Instrum. Eng. 1558, 487-498 (1991).
8. E. C. Tam, S. Zhou, D. A. Gregory, and J. M. Kirsch, “Phase/amplitude spatial light modulators using 90° twisted nematic liquid crystal devices,” presented at the 1991 Optical Society of America Annual Meeting, San Jose, Calif., 3-8 November 1991.
9. D. A. Gregory and J. C. Kirsch, “Full complex modulation using liquid crystal televisions,” Appl. Opt. 31, 163-165 (1992).
10. R. Eschbach, “Comparison of error diffusion methods for computer-generated holograms,” Appl. Opt. 30, 3702-3710 (1991)
11. G.-G. Mu, X.-M. Wang, and Z.-Q. Wang, “Amplitude-compensated matched filtering,” Appl. Opt. 27, 3461-3463 (1988).
12. L. P. Yaroslavsky, “Is the phase-only filter and its modifications optimal in terms of the discrimination capability in pattern recognition?” Appl. Opt. 31, 1677-1679 (1992).
13. R. D. Juday, B. V. K. Vijaya Kumar, and P. K. Rajan, “Optimum real correlation filters,” Appl. Opt. 30, 520-522 (1991).
14. B. V. K. Vijaya Kumar, W. Shi, and C. Hendrix, “Phase-only filters with maximally sharp correlation peaks,” Opt. Lett. 15, 807-809(1990).
15. Ph. Refregier, “Optimal trade-off filter for noise robustness, sharpness of the correlation peak, and Horner efficiency,” Opt. Lett. 16, 829-831 (1991).
16. M. W. Farn and J. W. Goodman, “Optimal binary phase-only matched filters,” Appl. Opt. 27, 4431-4437 (1988).
17. B. V. K. Vijaya Kumar and R. D. Juday, “Design of phase-only, binary phase-only, and complex ternary matched filters with increased signal-to-noise ratios for colored noise,” Opt. Lett. 16, 1025-1027 (1991).
18. F. M. Dickey, B. V. K. Vijaya Kumar, L. A. Romero, and J. M. Connelly, “Complex ternary matched filters yielding high signal-to-noise ratios,” Opt. Eng. 29, 994-1001 (1990).
19. K. Lu and B. E. A. Saleh, “Complex amplitude reflectance of the liquid crystal light valve,” Appl. Opt. 30, 2354-2362 (1991).
20. J. L. Horner and P. D. Gianino, “Phase-only matched filtering,” Appl. Opt. 23, 812-816 (1984).
21. B. V. K. Vijaya Kumar and Z. Bahri, “Phase-only filters with improved signal-to-noise ratio,” Appl. Opt. 28, 250-257 (1989).
22. D. L. Flannery, J. S. Loomis, and M. E. Milkovich, “Transform-ratio ternary phase-amplitude filter formulation for improved correlation discrimination,” Appl. Opt. 27, 4079-4083 (1988).
23. F. M. Dickey and B. D. Hansche, “Quad-phase-only filters for pattern recognition,” Appl. Opt. 28, 1611-1613 (1989).
24. J. L. Horner, “Metrics for assessing pattern-recognition performance,” Appl. Opt. 31, 165-166 (1992).
25. J. D. Downie, B. P. Hine, and M. B. Reid, “Effects and correction of magneto-optic spatial light modulator phase errors in an optical correlator,” Appl. Opt. 31, 636-643 (1992).
26. medof: minimum Euclidean distance optimal filter, computer code available under NT control number MSC-22380 from COSMIC (Computer Software Management Information Center), University of Georgia, 382 East Broad Street, Athens, Ga. 30602-4272. Telephone (706) 542-3265.