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  1. M. A. Monahan, K. Bromley, R. P. Bocker, Proc. IEEE 65, 121 (1977).
    [CrossRef]
  2. J. W. Goodman, A. R. Dias, L. M. Woody, Opt. Lett. 2, 1 (1978).
    [CrossRef] [PubMed]
  3. H. J. Caulfield et al., Opt. Commun. 40, 86 (1981).
    [CrossRef]
  4. R. A. Athale, W. C. Collins, Appl. Opt. 21, 2089 (1982).
    [CrossRef] [PubMed]
  5. R. A. Athale, “Digital Optical Processing,” Ph.D Dissertation, U. California, San Diego (Dec.1980).
  6. A. Huang et al., Appl. Opt. 18, 149 (1979).
    [CrossRef] [PubMed]
  7. D. Psaltis et al., Proc. Soc. Photo-Opt. Instrum. Eng. 232, 151 (1980).
  8. H. J. Whitehouse, J. Speiser, Aspects of Signal Processing with Emphasis on Underwater Acoustics, Vol. 2, G. Tacconi, Ed. (Reidel, Hingham, Mass., 1977).
  9. R. Bracewell, The Fourier Transform and Its Applications (McGraw-Hill, New York, 1956).

1982

1981

H. J. Caulfield et al., Opt. Commun. 40, 86 (1981).
[CrossRef]

1980

D. Psaltis et al., Proc. Soc. Photo-Opt. Instrum. Eng. 232, 151 (1980).

1979

1978

1977

M. A. Monahan, K. Bromley, R. P. Bocker, Proc. IEEE 65, 121 (1977).
[CrossRef]

Athale, R. A.

R. A. Athale, W. C. Collins, Appl. Opt. 21, 2089 (1982).
[CrossRef] [PubMed]

R. A. Athale, “Digital Optical Processing,” Ph.D Dissertation, U. California, San Diego (Dec.1980).

Bocker, R. P.

M. A. Monahan, K. Bromley, R. P. Bocker, Proc. IEEE 65, 121 (1977).
[CrossRef]

Bracewell, R.

R. Bracewell, The Fourier Transform and Its Applications (McGraw-Hill, New York, 1956).

Bromley, K.

M. A. Monahan, K. Bromley, R. P. Bocker, Proc. IEEE 65, 121 (1977).
[CrossRef]

Caulfield, H. J.

H. J. Caulfield et al., Opt. Commun. 40, 86 (1981).
[CrossRef]

Collins, W. C.

Dias, A. R.

Goodman, J. W.

Huang, A.

Monahan, M. A.

M. A. Monahan, K. Bromley, R. P. Bocker, Proc. IEEE 65, 121 (1977).
[CrossRef]

Psaltis, D.

D. Psaltis et al., Proc. Soc. Photo-Opt. Instrum. Eng. 232, 151 (1980).

Speiser, J.

H. J. Whitehouse, J. Speiser, Aspects of Signal Processing with Emphasis on Underwater Acoustics, Vol. 2, G. Tacconi, Ed. (Reidel, Hingham, Mass., 1977).

Whitehouse, H. J.

H. J. Whitehouse, J. Speiser, Aspects of Signal Processing with Emphasis on Underwater Acoustics, Vol. 2, G. Tacconi, Ed. (Reidel, Hingham, Mass., 1977).

Woody, L. M.

Appl. Opt.

Opt. Commun.

H. J. Caulfield et al., Opt. Commun. 40, 86 (1981).
[CrossRef]

Opt. Lett.

Proc. IEEE

M. A. Monahan, K. Bromley, R. P. Bocker, Proc. IEEE 65, 121 (1977).
[CrossRef]

Proc. Soc. Photo-Opt. Instrum. Eng.

D. Psaltis et al., Proc. Soc. Photo-Opt. Instrum. Eng. 232, 151 (1980).

Other

H. J. Whitehouse, J. Speiser, Aspects of Signal Processing with Emphasis on Underwater Acoustics, Vol. 2, G. Tacconi, Ed. (Reidel, Hingham, Mass., 1977).

R. Bracewell, The Fourier Transform and Its Applications (McGraw-Hill, New York, 1956).

R. A. Athale, “Digital Optical Processing,” Ph.D Dissertation, U. California, San Diego (Dec.1980).

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Equations (14)

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C = a T × b = [ ( a 2 b 2 ) ( a 2 b 1 ) ( a 2 b 0 ) ( a 1 b 2 ) ( a 1 b 1 ) ( a 1 b 0 ) ( a 0 b 2 ) ( a 0 b 1 ) ( a 0 b 0 ) ] .
c = [ ( a 2 b 2 ) ( a 1 b 2 + a 2 b 1 ) ( a 0 b 2 + a 1 b 1 + a 2 b 0 ) ( a 0 b 1 + a 1 b 0 ) ( a 0 b 0 ) ] , c ( i ) = a ( i ) * b ( i ) ,
C = ( 1 0 1 ) ( 1 1 1 ) = [ 1 1 1 0 0 0 1 1 1 ] .
B = [ b 2 b 1 b 0 0 0 0 b 2 b 1 b 0 0 0 0 b 2 b 1 b 0 ]
a B = c ; [ b 2 b 1 b 0 0 0 0 b 2 b 1 b 0 0 0 0 b 2 b 1 b 0 ] ( a 2 a 1 a 0 ) = [ ( a 2 b 2 ) ( a 2 b 1 + a 1 b 2 ) ( a 1 b 0 + a 1 b 1 + a 0 b 2 ) ( a 1 b 0 + a 0 b 1 ) ( a 0 b 0 ) ] .
a = ( a 1 1 a 1 0 a 1 2 a 2 0 ) b = ( b 1 1 b 1 0 b 2 1 b 2 0 ) ,
C = a T × b = ( a 1 1 a 1 0 a 2 1 a 2 0 ) ( b 1 1 b 1 0 b 2 1 b 2 0 ) = [ a 1 1 b 1 1 a 1 1 b 1 0 a 1 1 b 2 1 a 1 1 b 2 0 a 1 0 b 1 1 a 1 0 b 1 0 a 1 0 b 2 1 a 1 0 b 2 0 a 2 1 b 1 1 a 2 1 b 1 0 a 1 1 b 1 1 a 2 1 b 2 0 a 2 0 b 1 1 a 2 0 b 1 0 a 2 0 b 2 1 a 2 0 b 2 0 ] .
C = [ c 11 c 12 c 21 c 22 ] ,
c i j = [ ( a i 1 b j 1 ) ( a i 0 b i 1 + a i 1 b j 0 ) ( a i 0 b j 0 ) ] .
A = [ a 1 1 a 1 0 a 2 1 a 2 0 ] , B = [ b 1 1 b 1 0 0 b 2 1 b 2 0 0 0 b 1 1 b 1 0 0 b 2 1 b 2 0 ] .
A = [ a 11 1 a 12 1 a 11 0 a 12 0 a 21 1 a 22 1 a 21 0 a 22 0 ] , B = [ b 11 1 b 11 0 b 12 1 b 12 0 b 21 1 b 21 0 b 22 1 b 22 0 ] .
C 1 = [ ( a 11 1 b 11 1 ) ( a 11 1 b 11 0 ) ( a 11 1 b 12 1 ) ( a 11 1 b 12 0 ) ( a 11 0 b 11 0 ) ( a 11 0 b 11 0 ) ( a 11 0 b 12 1 ) ( a 11 0 b 12 0 ) ( a 21 1 b 11 1 ) ( a 21 1 b 11 0 ) ( a 21 1 b 12 1 ) ( a 21 1 b 12 0 ) ( a 21 0 b 11 1 ) ( a 21 0 b 11 0 ) ( a 21 0 b 12 1 ) ( a 21 1 b 12 0 ) ] , C 2 = [ ( a 12 1 b 21 1 ) ( a 12 1 b 21 0 ) ( a 12 1 b 22 1 ) ( a 12 1 b 22 0 ) ( a 12 0 b 21 1 ) ( a 12 0 b 21 0 ) ( a 12 0 b 22 1 ) ( a 12 0 b 22 0 ) ( a 22 1 b 21 1 ) ( a 22 1 b 21 0 ) ( a 22 1 b 22 1 ) ( a 22 1 b 22 0 ) ( a 22 0 b 21 1 ) ( a 22 0 b 21 0 ) ( a 22 0 b 22 1 ) ( a 22 0 b 22 1 ) ] .
C = [ c 11 2 c 11 1 c 11 0 c 12 2 c 12 1 c 12 0 c 21 2 c 21 1 c 21 0 c 22 2 c 22 1 c 22 0 ] ,
c i j 2 = k = 1 2 a i k 1 b k j 1 , c i j 1 = k = 1 2 ( a i k 0 b k j 1 + a i k 1 b k j 0 ) c i j 0 = k = 1 2 a i k 0 b k j 0 .

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