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References

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  1. N. Wiener, The Extrapolation, Interpolation and Smoothing of Stationary Time Series (John Wiley and Sons, Inc., New York, 1949).
  2. H. Wolter, in Progress in Optics I, E. Wolf, Ed. (North-Holland Publ. Co., Amsterdam, 1961), Ch. V.
  3. J. L. Harris, J. Opt. Soc. Am. 54, 931 (1964).
    [CrossRef]
  4. C. W. Barnes, J. Opt. Soc. Am. 56, 575 (1966).
    [CrossRef]
  5. B. R. Frieden, J. Opt. Soc. Am 57, 1013 (1967).
    [CrossRef]
  6. G. J. Buck and J. J. Gustincic, IEEE Trans. Ant. Prop. AP-15, 376 (1967).
    [CrossRef]
  7. C. K. Rushforth and R. W. Harris, J. Opt. Soc. Am. 58, 539 (1968).
    [CrossRef]
  8. See, for example, T. H. James and G. C. Higgins, Fundamentals of Photographic Theory (Morgan and Morgan, Inc., New York, 1960), p. 13.
  9. C. E. Shannon, Bell System Tech. J. 27, 379, 623 (1948).
    [CrossRef]
  10. See, for example, R. A. Fisher, Proc. Cambridge Phil. Soc. 22, 700 (1925).
    [CrossRef]
  11. P. B. Fellgett and E. H. Linfoot, Phil. Trans. Roy. Soc. (London) A247, 369 (1955).
  12. C. W. Helstrom, J. Opt. Soc. Am. 57, 297 (1967).
    [CrossRef]
  13. See, e.g., H. Lass, Elements of Pure and Applied Mathematics (McGraw–Hill Book Co., New York, 1957), p. 288.
  14. See, for example, Ref. 12, p. 300.

1968 (1)

1967 (3)

C. W. Helstrom, J. Opt. Soc. Am. 57, 297 (1967).
[CrossRef]

B. R. Frieden, J. Opt. Soc. Am 57, 1013 (1967).
[CrossRef]

G. J. Buck and J. J. Gustincic, IEEE Trans. Ant. Prop. AP-15, 376 (1967).
[CrossRef]

1966 (1)

1964 (1)

1955 (1)

P. B. Fellgett and E. H. Linfoot, Phil. Trans. Roy. Soc. (London) A247, 369 (1955).

1948 (1)

C. E. Shannon, Bell System Tech. J. 27, 379, 623 (1948).
[CrossRef]

1925 (1)

See, for example, R. A. Fisher, Proc. Cambridge Phil. Soc. 22, 700 (1925).
[CrossRef]

Barnes, C. W.

Buck, G. J.

G. J. Buck and J. J. Gustincic, IEEE Trans. Ant. Prop. AP-15, 376 (1967).
[CrossRef]

Fellgett, P. B.

P. B. Fellgett and E. H. Linfoot, Phil. Trans. Roy. Soc. (London) A247, 369 (1955).

Fisher, R. A.

See, for example, R. A. Fisher, Proc. Cambridge Phil. Soc. 22, 700 (1925).
[CrossRef]

Frieden, B. R.

B. R. Frieden, J. Opt. Soc. Am 57, 1013 (1967).
[CrossRef]

Gustincic, J. J.

G. J. Buck and J. J. Gustincic, IEEE Trans. Ant. Prop. AP-15, 376 (1967).
[CrossRef]

Harris, J. L.

Harris, R. W.

Helstrom, C. W.

Higgins, G. C.

See, for example, T. H. James and G. C. Higgins, Fundamentals of Photographic Theory (Morgan and Morgan, Inc., New York, 1960), p. 13.

James, T. H.

See, for example, T. H. James and G. C. Higgins, Fundamentals of Photographic Theory (Morgan and Morgan, Inc., New York, 1960), p. 13.

Lass, H.

See, e.g., H. Lass, Elements of Pure and Applied Mathematics (McGraw–Hill Book Co., New York, 1957), p. 288.

Linfoot, E. H.

P. B. Fellgett and E. H. Linfoot, Phil. Trans. Roy. Soc. (London) A247, 369 (1955).

Rushforth, C. K.

Shannon, C. E.

C. E. Shannon, Bell System Tech. J. 27, 379, 623 (1948).
[CrossRef]

Wiener, N.

N. Wiener, The Extrapolation, Interpolation and Smoothing of Stationary Time Series (John Wiley and Sons, Inc., New York, 1949).

Wolter, H.

H. Wolter, in Progress in Optics I, E. Wolf, Ed. (North-Holland Publ. Co., Amsterdam, 1961), Ch. V.

Bell System Tech. J. (1)

C. E. Shannon, Bell System Tech. J. 27, 379, 623 (1948).
[CrossRef]

IEEE Trans. Ant. Prop. (1)

G. J. Buck and J. J. Gustincic, IEEE Trans. Ant. Prop. AP-15, 376 (1967).
[CrossRef]

J. Opt. Soc. Am (1)

B. R. Frieden, J. Opt. Soc. Am 57, 1013 (1967).
[CrossRef]

J. Opt. Soc. Am. (4)

Phil. Trans. Roy. Soc. (London) (1)

P. B. Fellgett and E. H. Linfoot, Phil. Trans. Roy. Soc. (London) A247, 369 (1955).

Proc. Cambridge Phil. Soc. (1)

See, for example, R. A. Fisher, Proc. Cambridge Phil. Soc. 22, 700 (1925).
[CrossRef]

Other (5)

N. Wiener, The Extrapolation, Interpolation and Smoothing of Stationary Time Series (John Wiley and Sons, Inc., New York, 1949).

H. Wolter, in Progress in Optics I, E. Wolf, Ed. (North-Holland Publ. Co., Amsterdam, 1961), Ch. V.

See, for example, T. H. James and G. C. Higgins, Fundamentals of Photographic Theory (Morgan and Morgan, Inc., New York, 1960), p. 13.

See, e.g., H. Lass, Elements of Pure and Applied Mathematics (McGraw–Hill Book Co., New York, 1957), p. 288.

See, for example, Ref. 12, p. 300.

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Equations (10)

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s i = ( 2 f 2 ) - 1 Ω d ω S I ( ω ) ,
S I ( ω ) = log [ 1 + τ ( ω ) 2 ϕ 0 ( ω ) / ϕ n ( ω ) ] .
m s r e = Ω p d ω ϕ n ( ω ) ϕ 0 ( ω ) ϕ n ( ω ) + τ ( ω ) 2 ϕ 0 ( ω ) + Ω ¯ p d ω ϕ 0 ( ω ) .
m s r e = Ω p d ω ϕ 0 ( ω ) e - S I ( ω ) + Ω ¯ p d ω ϕ 0 ( ω ) .
Y ( ω ) = τ * ( ω ) ϕ 0 ( ω ) / [ τ ( ω ) 2 ϕ 0 ( ω ) + ϕ n ( ω ) ] .
Y ( ω ) = [ 1 / τ ( ω ) ] [ 1 - e - S I ( ω ) ] .
Ω d ω S I ( ω ) = s i 0 ,
Ω p d ω ϕ 0 ( ω ) o - S I ( ω ) + Ω ¯ p d ω ϕ 0 ( ω ) + λ [ Ω d ω S I ( ω ) - s i 0 ] ,
S I 0 ( ω ) = { ln ϕ 0 ( ω ) + Ω p - 1 s i 0 - Ω p - 1 Ω p d ω ln ϕ 0 ( ω ) , for ω in Ω p 0 for ω not in Ω p .
m s r e 0 = Ω p exp { - [ s i 0 - Ω p d ω ln ϕ 0 ( ω ) ] / Ω p } + Ω ¯ p d ω ϕ 0 ( ω ) .