Hybrid optical implementation of discrete wavelet transforms: A tutorial

Optics and Laser Technology

Volumn 28, Issue 2 SPEC. ISS., 1996, Pages 51-58

  DeCusatis, Casimer M ^a   Koay, J ^b   Das, P ^b  

^a IBM   (United States)

^b RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Acousto optics; Convolution; Hybrid optics; Signal processing; Wavelets

Indexed keywords

ACOUSTOOPTICAL DEVICES; LIGHT MODULATORS; SIGNAL PROCESSING;

DISCRETE WAVELET TRANSFORMS;

WAVELET TRANSFORMS;

EID: 0030106573     PISSN: 00303992     EISSN: None     Source Type: Journal    
DOI: 10.1016/0030-3992(95)00069-0     Document Type: Article

References (36)

1. DeCusatis, C., Koay, J., Das, P. Real time implementation of wavelet transforms. Chapter 6 in Subband and Wavelet Transforms: Design & Application (Eds Akansu A, and Smith M.) Kluwer Academic, Norwell, MA (to be published)
2. Chui, C.K (ed) Wavelets: an Introduction to Wavelets, Vol. 1, and Wavelets: a Tutorial in Theory and Applications, Vol. 2, Academic Press, NY (1992)
3. Vetterli, M., Herley, C. Wavelets and filter banks: theory and design, IEEE Trans Signal Processing, 40 (1992) 2207-2232
4. Smith, M.J.T. IIR analysis/synthesis systems. In Subband Coding of Images, (Ed Woods, J.W.) Kluwer Academic, Norwell, MA (1991)
5. Evangelista, G. Wavelet transforms and digital filters. In Wavelets and Applications, (Ed Meyer, Y.) Springer-Verlag, NY (1992)
6. Resnikoff, H. Wavelets and adaptive signal processing, Opt Eng, 31 (1992) 1229-1234
7. Baraniecki, A. Karim, S. Computational algorithms for discrete wavelet transforms, SPIE Proc, 1699 (1992) 408-419
8. Herley, C., Vetterli, M. Linear phase wavelets: theory and design, Proc Int Conf on Acoustics, Speech, and Signal Processing, Vol. 3 (1991) 2017-2020
9. Strang, G., Wavelets, Am Scientist, 82 (1994) 250-255
10. Strang, G., Wavelet transforms vs. Fourier transforms, Bull Amer Math Soc, 28 (1993) 288-305
11. Freeman, M. Wavelets: signal representations with important advantages, Opt and Photonics News, 4 (1993) 8-14
12. Benveniste, A. Multiscale signal processing: from QMF to wavelets, Int Workshop on Algorithms and Parallel VLSI Architectures, vol. A, Elsevier Press, (1991) 71-76
13. Daubechies, I. Orthonormal basis of compactly supported wavelets, Comm Pure and Appl Math, XLI (1988) 909-996
14. Daubechies, I., Lagarias, J. Two scale differential equations, II local regularity, infinite products of matrices, and fractals, AT&T Bell Labs Tech Report (1989)
15. Vander Lugt, A. Signal detection by complex spatial filtering, IEEE Trans Info Theory, IT-10 (1964) 2
16. Freysz E. Optical wavelet transform of fractal aggregates, Phys Rev Lett, 64 (1990) 7745-7748
17. Block, P., Rogers, S., Ruck, D. Optical wavelet transforms from computer generated holography, Appl Opt, 33 (1994) 5275-5278
18. McAulay, A., Wang, J. Optical wavelet transform classifier with positive real Fourier transform wavelets, Opt Eng, 32 (1993) 1333-1339
19. Caufield, H., Rhodes, W.T., Foster, M., Horwity, S. Optical implementation of systolic array processing, Opt Comm, 40 (1981) 86
20. Burns, T., Fielding, K., Rogers, S., Pinski, S., Buck, D. Optical Haar wavelet transform, Opt Eng, 31 (1992) 1852-1858
21. Pinski, S.D., Rogers, S.D., Ruck, S.K., Welsh, D.M., Kabrinski, B.M., Warhola, M., Quinn, G., Oxley, D. Image segmentation using optical wavelets, SPIE Proc, 1702 (1992) 11-19
22. 4 implementation of a two-dimensional wavelet transform, Opt Eng, 31 (1992) 1859-1864
23. Wang, D.X., Tai, J.W., Zhang, Y.X. Two dimensional optical wavelet transform in space domain and its performance analysis, Appl Opt, 33 (1994) 5271-5274
24. Yu F.T.S., Lu, G. Short-time Fourier transform and wavelet transform with Fourier-domain processing, Appl Opt, 33 (1994) 5262-5270
25. Zhang, Y., Kanterakis, E., Katz, A., Wang, J.M. Optoelectronic wavelet processors based on Smartt interferometry, Appl Opt, 33 (1994) 5279-5266
26. Szu, H., Telfer, B., Lohman, A. Causal analytical wavelet transform, Opt Eng, 31 (1992) 1825-1829
27. Caulfield, H.J., Ludman, J.E., Hemmer P.R. Optical wavelet transform continuous in time, time shift, and scale, SPIE Proc, 2238 (1994) 166-169
28. Poon, T.C. Real time optical image processing using difference of Gaussian wavelets, Opt Eng, 33 (1994) 2294-2302
29. Szu, H., Telfer, B., Kadambe, S. Neural network adaptive wavelets for signal representation and classification, Opt Eng, 31 (1992) 1907-1916
30. Phuvan, S. Optical implementation of N-wavelet coding for pattern classification, Appl Opt, 33 (1994) 5294-5301
31. Kim, J., Kenan, R. Programmable integrated optic tapped delay lines using channel waveguide structures, Proc. OSA Annual Meeting, Dallas, Texas, (1994) p. 144
32. Goodman, J., Woody, L. Method for performing complex-valued linear operations on complex-valued data using incoherent light, Appl Opt, 16 (1977) 2611
33. Das P., DeCusatis C. Acoustic-optic image correlators, SPIE Proc. 1844 (Acoustic-optics and Applications, Gdansk, Poland) (1992) 33-48
34. Psaltis, D. Incoherent electro-optic image correlator, Opt Eng, 23 (1984) 12-15
35. Molley, P.A. An acousto-optic image correlator with a throughput rate of 1000 templates per second, SPIE, 1295 (Real Time Image Processing II), (1990) 90-101
36. Molley P.A., Stalker K.T., Sweatt, W.C. A compact, real-time acousto-optic image correlator, SPIE, 1347 (Optical Information Processing Systems and Architectures II) (1990) 123-130