Abstract

No abstract available.

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. W. Rhodes, J. Fienup, B. E. A. Saleh, “Transformations in Optical Signal Processing,” SPIE Advanced Institute Series (1982).
  2. M. Schetzen, The Volterra and Wiener Theories of Nonlinear Systems (Wiley, New York, 1980).
  3. B. E. A. Saleh, Opt. Acta 26, 777 (1979).
    [CrossRef]
  4. B. E. A. Saleh, S. I. Sayegh, Appl. Opt. 20, 4089 (1981).
    [CrossRef] [PubMed]
  5. B. Frieden, Image Enhancement and Restoration in Picture Processing and Digital Filtering, T. S. Huang, Ed. (Springer, New York, 1975).
  6. W. Pratt, Digital Image Processing (Wiley, New York, 1978).
  7. W. Porter, R. DeSantis, Int. J. Control 21, No. 1 (1975).
    [CrossRef]
  8. W. Rugh, Nonlinear System Theory (Johns-Hopkins U.P., Baltimore, Md., 1981).
  9. W. Porter, J. Math. Syst. Theory 13, (1980).
  10. R. DeFigueredo, L. Zyla, “Nonlinear System Identification Based on a Fock Space Framework,” Tech. Rep. 79, Apr.1971, Department of Electrical Engineering, Rice U., Houston, Tex.
  11. L. Rail, “Quadratic Equations in Banach Spaces,” Rendiconti del Circolo Matematicas de Palermo Ser. 2, Tomo X (1961).
    [CrossRef]
  12. S. Chandrasekhar, Radiative Transfer (Oxford U.P., London, 1950).

1981

1980

W. Porter, J. Math. Syst. Theory 13, (1980).

1979

B. E. A. Saleh, Opt. Acta 26, 777 (1979).
[CrossRef]

1975

W. Porter, R. DeSantis, Int. J. Control 21, No. 1 (1975).
[CrossRef]

Chandrasekhar, S.

S. Chandrasekhar, Radiative Transfer (Oxford U.P., London, 1950).

DeFigueredo, R.

R. DeFigueredo, L. Zyla, “Nonlinear System Identification Based on a Fock Space Framework,” Tech. Rep. 79, Apr.1971, Department of Electrical Engineering, Rice U., Houston, Tex.

DeSantis, R.

W. Porter, R. DeSantis, Int. J. Control 21, No. 1 (1975).
[CrossRef]

Fienup, J.

W. Rhodes, J. Fienup, B. E. A. Saleh, “Transformations in Optical Signal Processing,” SPIE Advanced Institute Series (1982).

Frieden, B.

B. Frieden, Image Enhancement and Restoration in Picture Processing and Digital Filtering, T. S. Huang, Ed. (Springer, New York, 1975).

Porter, W.

W. Porter, J. Math. Syst. Theory 13, (1980).

W. Porter, R. DeSantis, Int. J. Control 21, No. 1 (1975).
[CrossRef]

Pratt, W.

W. Pratt, Digital Image Processing (Wiley, New York, 1978).

Rail, L.

L. Rail, “Quadratic Equations in Banach Spaces,” Rendiconti del Circolo Matematicas de Palermo Ser. 2, Tomo X (1961).
[CrossRef]

Rhodes, W.

W. Rhodes, J. Fienup, B. E. A. Saleh, “Transformations in Optical Signal Processing,” SPIE Advanced Institute Series (1982).

Rugh, W.

W. Rugh, Nonlinear System Theory (Johns-Hopkins U.P., Baltimore, Md., 1981).

Saleh, B. E. A.

B. E. A. Saleh, S. I. Sayegh, Appl. Opt. 20, 4089 (1981).
[CrossRef] [PubMed]

B. E. A. Saleh, Opt. Acta 26, 777 (1979).
[CrossRef]

W. Rhodes, J. Fienup, B. E. A. Saleh, “Transformations in Optical Signal Processing,” SPIE Advanced Institute Series (1982).

Sayegh, S. I.

Schetzen, M.

M. Schetzen, The Volterra and Wiener Theories of Nonlinear Systems (Wiley, New York, 1980).

Zyla, L.

R. DeFigueredo, L. Zyla, “Nonlinear System Identification Based on a Fock Space Framework,” Tech. Rep. 79, Apr.1971, Department of Electrical Engineering, Rice U., Houston, Tex.

Appl. Opt.

Int. J. Control

W. Porter, R. DeSantis, Int. J. Control 21, No. 1 (1975).
[CrossRef]

J. Math. Syst. Theory

W. Porter, J. Math. Syst. Theory 13, (1980).

Opt. Acta

B. E. A. Saleh, Opt. Acta 26, 777 (1979).
[CrossRef]

Other

R. DeFigueredo, L. Zyla, “Nonlinear System Identification Based on a Fock Space Framework,” Tech. Rep. 79, Apr.1971, Department of Electrical Engineering, Rice U., Houston, Tex.

L. Rail, “Quadratic Equations in Banach Spaces,” Rendiconti del Circolo Matematicas de Palermo Ser. 2, Tomo X (1961).
[CrossRef]

S. Chandrasekhar, Radiative Transfer (Oxford U.P., London, 1950).

W. Rhodes, J. Fienup, B. E. A. Saleh, “Transformations in Optical Signal Processing,” SPIE Advanced Institute Series (1982).

M. Schetzen, The Volterra and Wiener Theories of Nonlinear Systems (Wiley, New York, 1980).

W. Rugh, Nonlinear System Theory (Johns-Hopkins U.P., Baltimore, Md., 1981).

B. Frieden, Image Enhancement and Restoration in Picture Processing and Digital Filtering, T. S. Huang, Ed. (Springer, New York, 1975).

W. Pratt, Digital Image Processing (Wiley, New York, 1978).

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 (1)

Fig. 1
Fig. 1

Array form for (I +B)−1.

Equations (19)

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

g ( x ) = - W ( x , α , β ) f ( α ) f ( β ) d α d β .
g = W 2 ( f ) = W 2 ( f , f ) .
δ g = T δ f + W 2 ( δ f ) .
g = W 0 + W 1 f + W 2 ( f ) ,
δ g = δ f + W 2 ( δ f ) ,
ϕ = ψ + λ B ( ϕ ) ,
ϕ = ϕ 0 + λ ϕ 0 + + λ n ϕ n + ,
ϕ 0 = ψ , ϕ 1 = B ( ϕ 0 , ϕ 0 ) , ϕ 2 = B ( ϕ 0 , ϕ 1 ) + B ( ϕ 1 , ϕ 0 ) , ϕ n = j = 0 n - 1 B ( ϕ j , ϕ n - j - 1 ) .
B ( · ) = - W 2 ( · ) , ψ = δ g , ϕ = δ f .
δ f = δ f 0 + δ f 1 + + δ f n ,
δ f 0 = δ g , δ f 1 = - W 2 ( δ f 0 , δ f 0 ) , δ f n = - j = 0 n - 1 W 2 ( δ f j , δ f n - j - 1 ) .
( 1 + W 2 ) - 1 1 - W 2
x ( s ) = 1 + λ x ( s ) 0 1 s s + t x ( t ) d t 0 s 1
m = ( 1 - 1 - 4 δ g W 2 ) / 2 W 2 ;
δ f - δ f n m - δ g j = 0 n ( 2 j ) ! j ! ( j + 1 ) ! ( δ g · W 2 ) j .
ϕ i = ψ i + B ( ϕ i )             i = 1 , , m ,
ξ i = T u i             i = 1 , , m ,
J ( T ) = E i ξ i - T V i 2 .
V i = ( I + W 2 ) ( F i ) , u i = g i = ( I + W 2 ) ( f i ) , ξ i = f i             i = 1 , , m .

Metrics