Abstract

The concept of using phase-encoded input representation in a joint transform correlator is presented, in which we show that the phase-encoded input joint transform correlator is an optimal filtering system that improves detection efficiency and pattern discriminability.

© 1995 Optical Society of America

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References

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  1. T. H. Barnes, T. Eiju, K. Matsuda, N. Ooyama, Appl. Opt. 28, 4845 (1989).
    [CrossRef] [PubMed]
  2. B. A. Kest, M. K. Giles, S. D. Lindell, D. L. Flannery, Appl. Opt. 28, 1044 (1989).
    [CrossRef]
  3. L. J. Hornbeck, Proc. Soc. Photo-Opt. Instrum. Eng. 1150, 86 (1989).
  4. R. Juday, S. E. Monroe, D. A. Gregory, Proc. Soc. Photo-Opt. Instrum. Eng. 825, 149 (1987).
  5. C. Hester, M. Temmen, Proc. Soc. Photo-Opt. Instrum. Eng. 1297, 207 (1991).
  6. R. R. Kallman, D. H. Goldstein, Opt. Eng. 33, 1806 (1994).
    [CrossRef]
  7. C. S. Weaver, J. W. Goodman, Appl. Opt. 5, 1248 (1966).
    [CrossRef] [PubMed]
  8. F. T. S. Yu, X. J. Lu, Opt. Commun. 52, 10 (1984).
    [CrossRef]
  9. F. Cheng, F. T. S. Yu, D. A. Gregory, Appl. Opt. 32, 6521 (1993).
    [CrossRef] [PubMed]
  10. F. T. S. Yu, T. Nagata, Opt. Eng. 27, 507 (1988).
  11. A. Tanone, C. M. Uang, F. T. S. Yu, E. C. Tam, D. A. Gregory, Appl. Opt. 31, 4816 (1992).
    [CrossRef] [PubMed]

1994 (1)

R. R. Kallman, D. H. Goldstein, Opt. Eng. 33, 1806 (1994).
[CrossRef]

1993 (1)

1992 (1)

1991 (1)

C. Hester, M. Temmen, Proc. Soc. Photo-Opt. Instrum. Eng. 1297, 207 (1991).

1989 (3)

1988 (1)

F. T. S. Yu, T. Nagata, Opt. Eng. 27, 507 (1988).

1987 (1)

R. Juday, S. E. Monroe, D. A. Gregory, Proc. Soc. Photo-Opt. Instrum. Eng. 825, 149 (1987).

1984 (1)

F. T. S. Yu, X. J. Lu, Opt. Commun. 52, 10 (1984).
[CrossRef]

1966 (1)

Barnes, T. H.

Cheng, F.

Eiju, T.

Flannery, D. L.

Giles, M. K.

Goldstein, D. H.

R. R. Kallman, D. H. Goldstein, Opt. Eng. 33, 1806 (1994).
[CrossRef]

Goodman, J. W.

Gregory, D. A.

Hester, C.

C. Hester, M. Temmen, Proc. Soc. Photo-Opt. Instrum. Eng. 1297, 207 (1991).

Hornbeck, L. J.

L. J. Hornbeck, Proc. Soc. Photo-Opt. Instrum. Eng. 1150, 86 (1989).

Juday, R.

R. Juday, S. E. Monroe, D. A. Gregory, Proc. Soc. Photo-Opt. Instrum. Eng. 825, 149 (1987).

Kallman, R. R.

R. R. Kallman, D. H. Goldstein, Opt. Eng. 33, 1806 (1994).
[CrossRef]

Kest, B. A.

Lindell, S. D.

Lu, X. J.

F. T. S. Yu, X. J. Lu, Opt. Commun. 52, 10 (1984).
[CrossRef]

Matsuda, K.

Monroe, S. E.

R. Juday, S. E. Monroe, D. A. Gregory, Proc. Soc. Photo-Opt. Instrum. Eng. 825, 149 (1987).

Nagata, T.

F. T. S. Yu, T. Nagata, Opt. Eng. 27, 507 (1988).

Ooyama, N.

Tam, E. C.

Tanone, A.

Temmen, M.

C. Hester, M. Temmen, Proc. Soc. Photo-Opt. Instrum. Eng. 1297, 207 (1991).

Uang, C. M.

Weaver, C. S.

Yu, F. T. S.

Appl. Opt. (5)

Opt. Commun. (1)

F. T. S. Yu, X. J. Lu, Opt. Commun. 52, 10 (1984).
[CrossRef]

Opt. Eng. (2)

F. T. S. Yu, T. Nagata, Opt. Eng. 27, 507 (1988).

R. R. Kallman, D. H. Goldstein, Opt. Eng. 33, 1806 (1994).
[CrossRef]

Proc. Soc. Photo-Opt. Instrum. Eng. (3)

L. J. Hornbeck, Proc. Soc. Photo-Opt. Instrum. Eng. 1150, 86 (1989).

R. Juday, S. E. Monroe, D. A. Gregory, Proc. Soc. Photo-Opt. Instrum. Eng. 825, 149 (1987).

C. Hester, M. Temmen, Proc. Soc. Photo-Opt. Instrum. Eng. 1297, 207 (1991).

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Figures (2)

Fig. 1
Fig. 1

Input objects to the JTC’s.

Fig. 2
Fig. 2

Output cross-correlation distributions obtained from (a) the CJTC, (b) the PJTC, (c) the PJTC with a 41 × 41 dc block (out of 512 × 512), (d) the PJTC with binary phase reference.

Tables (1)

Tables Icon

Table 1 Numerical Simulations of the Performances of the CJTC and PJTC

Equations (18)

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pf ( x , y ) = exp { j T [ f ( x , y ) ] } ,
T [ f ( x , y ) ] = f ( x , y ) - G min G max - G min π ,
JTPS = PF ( p , q ) exp ( - j p a ) + PR ( p , q ) exp ( j p a ) 2 ,
C ( ± 2 a , 0 ) = | pf ( x , y ) pr * ( x , y ) d x d y | 2 = | exp [ j ψ f ( x , y ) ] d x d y | 2 ,
C ( ± 2 a , 0 ) = A 2 ,
pf n ( x , y ) = exp { j T [ f ( x , y ) + n ( x , y ) ] } .
SNR = E [ C ( 2 a , 0 ) ] 2 Var [ C ( x , y ) ] = | PR * ( p , q ) E [ PF n ( p , q ) ] d p d q | 2 ( 1 / A ) PR ( p , q ) 2 Var [ PF n ( p , q ) ] d p d q ,
SNR A E [ PF n ( p , q ) ] 2 Var [ PF n ( p , q ) ] d p d q ,
PR ( p , q ) = E [ PF n ( p , q ) ] Var [ PF n ( p , q ) ] .
PF n ( p , q ) = PF ( p , q ) + N ( p , q ) ,
Var [ PF n ( p , q ) ] = Var [ N ( p , q ) ] = K .
PR ( p , q ) = E [ PF n ( p , q ) ] ,
pr ( x , y ) = E [ pf n ( x , y ) ] = D exp { j T [ f ( x , y ) ] } ,
D = E ( exp { j T [ n ( x , y ) ] } )
ϕ r ( x , y ) = T [ f ( x , y ) ] .
SCR = API CPI ,
SCR = A 2 | exp j { T [ g ( x , y ) ] - ϕ r ( x , y ) } d x d y | 2 > 1 ,
ϕ r b ( x , y ) = { 0 ϕ r ( x , y ) θ π ϕ r ( x , y ) > θ ,

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