Abstract

A correlator is described that combines optical and electronic processing. The optical section is the first Fourier transform taking stage of a joint transform correlator; its output is electronically processed by a modified spectrum analyzer. Increased flexibility and various processing operations beyond those normally possible in an optical system result.

© 1978 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. Vander Lugt, IEEE Trans. Inf. Theory IT-10, 139 (1964).
    [CrossRef]
  2. A. Vander Lugt, F. B. Rotz, Appl. Opt. 9, 215 (1970).
    [CrossRef]
  3. C. S. Weaver, J. W. Goodman, Appl. Opt. 5, 1248 (1966).
    [CrossRef] [PubMed]
  4. J. E. Rau, J. Opt. Soc. Am. 56, 1490 (1966).
    [CrossRef]
  5. C. S. Weaver et al., Appl. Opt. 9, 1672 (1970).
    [CrossRef] [PubMed]
  6. J. E. Rau, J. Opt. Soc. Am. 57, 798 (1967).
    [CrossRef]
  7. A. Macovski, S. D. Ramsey, Opt. Commun. 4, 319 (1972).
    [CrossRef]
  8. D. Casasent, A. Furman, Appl. Opt. 16, 285 (1977).
    [CrossRef]
  9. D. Casasent, Proc. IEEE 65, 143 (1977).
    [CrossRef]
  10. D. Casasent, M. Saverino, SPIE Proc. 118, 11 (1977).
    [CrossRef]
  11. W. D. Gregg, Analog and Digital Communications (Wiley, New York, 1977).
  12. Topical issue on Adaptive Optics, J. Opt. Soc. Am. 67, 269–409 (1977).
  13. D. Casasent, A. Furman, Appl. Opt. 16, 1662 (1977).
    [CrossRef] [PubMed]
  14. D. Casasent, W. Sterling, IEEE Trans. Compt. C-24, 318 (1975).
  15. J. W. Goodman, Proc. IEEE 65, 29 (1977).
    [CrossRef]
  16. D. Casasent, D. Psaltis, Proc. IEEE 65, 77 (1977).
    [CrossRef]
  17. F. M. Gardner, Phaselock Techniques (Wiley, New York, 1966).

1977 (7)

D. Casasent, A. Furman, Appl. Opt. 16, 285 (1977).
[CrossRef]

D. Casasent, Proc. IEEE 65, 143 (1977).
[CrossRef]

D. Casasent, M. Saverino, SPIE Proc. 118, 11 (1977).
[CrossRef]

Topical issue on Adaptive Optics, J. Opt. Soc. Am. 67, 269–409 (1977).

D. Casasent, A. Furman, Appl. Opt. 16, 1662 (1977).
[CrossRef] [PubMed]

J. W. Goodman, Proc. IEEE 65, 29 (1977).
[CrossRef]

D. Casasent, D. Psaltis, Proc. IEEE 65, 77 (1977).
[CrossRef]

1975 (1)

D. Casasent, W. Sterling, IEEE Trans. Compt. C-24, 318 (1975).

1972 (1)

A. Macovski, S. D. Ramsey, Opt. Commun. 4, 319 (1972).
[CrossRef]

1970 (2)

1967 (1)

1966 (2)

1964 (1)

A. Vander Lugt, IEEE Trans. Inf. Theory IT-10, 139 (1964).
[CrossRef]

Casasent, D.

D. Casasent, A. Furman, Appl. Opt. 16, 285 (1977).
[CrossRef]

D. Casasent, Proc. IEEE 65, 143 (1977).
[CrossRef]

D. Casasent, M. Saverino, SPIE Proc. 118, 11 (1977).
[CrossRef]

D. Casasent, A. Furman, Appl. Opt. 16, 1662 (1977).
[CrossRef] [PubMed]

D. Casasent, D. Psaltis, Proc. IEEE 65, 77 (1977).
[CrossRef]

D. Casasent, W. Sterling, IEEE Trans. Compt. C-24, 318 (1975).

Furman, A.

Gardner, F. M.

F. M. Gardner, Phaselock Techniques (Wiley, New York, 1966).

Goodman, J. W.

Gregg, W. D.

W. D. Gregg, Analog and Digital Communications (Wiley, New York, 1977).

Macovski, A.

A. Macovski, S. D. Ramsey, Opt. Commun. 4, 319 (1972).
[CrossRef]

Psaltis, D.

D. Casasent, D. Psaltis, Proc. IEEE 65, 77 (1977).
[CrossRef]

Ramsey, S. D.

A. Macovski, S. D. Ramsey, Opt. Commun. 4, 319 (1972).
[CrossRef]

Rau, J. E.

Rotz, F. B.

Saverino, M.

D. Casasent, M. Saverino, SPIE Proc. 118, 11 (1977).
[CrossRef]

Sterling, W.

D. Casasent, W. Sterling, IEEE Trans. Compt. C-24, 318 (1975).

Vander Lugt, A.

A. Vander Lugt, F. B. Rotz, Appl. Opt. 9, 215 (1970).
[CrossRef]

A. Vander Lugt, IEEE Trans. Inf. Theory IT-10, 139 (1964).
[CrossRef]

Weaver, C. S.

Appl. Opt. (5)

IEEE Trans. Compt. (1)

D. Casasent, W. Sterling, IEEE Trans. Compt. C-24, 318 (1975).

IEEE Trans. Inf. Theory (1)

A. Vander Lugt, IEEE Trans. Inf. Theory IT-10, 139 (1964).
[CrossRef]

J. Opt. Soc. Am. (3)

Opt. Commun. (1)

A. Macovski, S. D. Ramsey, Opt. Commun. 4, 319 (1972).
[CrossRef]

Proc. IEEE (3)

D. Casasent, Proc. IEEE 65, 143 (1977).
[CrossRef]

J. W. Goodman, Proc. IEEE 65, 29 (1977).
[CrossRef]

D. Casasent, D. Psaltis, Proc. IEEE 65, 77 (1977).
[CrossRef]

SPIE Proc. (1)

D. Casasent, M. Saverino, SPIE Proc. 118, 11 (1977).
[CrossRef]

Other (2)

W. D. Gregg, Analog and Digital Communications (Wiley, New York, 1977).

F. M. Gardner, Phaselock Techniques (Wiley, New York, 1966).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (6)

Fig. 1
Fig. 1

Schematic of the basic electronic JTC system.

Fig. 2
Fig. 2

Block diagram of the electronic section of the basic electronic JTC system.

Fig. 3
Fig. 3

Example of pulse-coded waveform correlation: (a) input transparency; (b) correlation output.

Fig. 4
Fig. 4

Example of pattern recognition on aerial imagery: (a) input transparency; (b) correlation output.

Fig. 5
Fig. 5

Example of equalizing correlation: (a) phase-distorted input and reference signals; (b) conventional correlation output; (c) equalizing correlator output.

Fig. 6
Fig. 6

Distorting phase transfer function used in the equalizing correlator experiment.

Equations (15)

Equations on this page are rendered with MathJax. Learn more.

t i ( x ) = f ( x + b ) + g ( x b ) .
I 1 ( u ) = | F ( u ) | 2 + | G ( u ) | 2 + 2 | F | | G | cos [ 4 π u b + ϕ ( u ) ] ,
u ( x 2 ) = f f + g g + f g * δ ( x 2 + 2 b ) + g f * δ ( x 2 2 b ) ,
υ ( t ) = R I 1 ( u ) ,
υ ( ξ ) = [ 1 T t 0 t 0 υ ( t ) cos ω 0 t d t ] 2 + [ 1 T t 0 t 0 υ ( t ) sin ω 0 t d t ] 2 = ( R λ f L s T ) 2 | u 0 u 0 I 1 ( u ) exp ( j 2 π u ξ ) d u | 2 = ( R λ f L s T ) 2 | F 1 [ I 1 ( u ) rect ( u / 2 u 0 ) ] | 2 = ( R λ f L s T ) 2 | sinc ( 2 u 0 ξ ) * [ f f + g g + g f * δ ( ξ 2 b ) + f g * δ ( ξ + 2 b ) ] | 2 ,
I 1 ( u ) = 2 | G | 2 ( 1 + cos 4 π u b ) .
I 1 ( u ) = 2 | G | 2 ( 1 + cos 5 π u b ) = 2 | G | 2 [ 1 + cos ( 4 π u b + π u b ) ] .
I 1 ( u ) = | G | 2 ( 1 + a + 2 a cos 4 π u b ) .
p ( τ ) = g ( t ) f ( t + τ ) d t .
f ( x ) g ( x ) = [ g ( x ) * h ( x ) ] g ( x ) = h ( x ) * [ g ( x ) g ( x ) ] .
υ ( t ) = 2 R | G ( s t λ f L ) | 2 | H ( s t λ f L ) | cos [ 2 π ( 2 s b λ f L ) t + arg H ( s t λ f L ) ] + etc .,
var [ ϕ ( u ) ] = t 0 t 0 ϕ 2 ( u ) d u .
var [ ϕ ( u ) ] = t 0 t 0 [ ϕ ( u ) ] 2 d u .
Δ u k ¯ = 1 N k = 1 N Δ u k = u N N
( u u ) 2 ¯ = 1 N k = 1 N ( Δ u k Δ u ¯ ) 2 = 1 N k = 1 N ( Δ u k u N N ) 2

Metrics