Abstract

A result indicating the uniqueness of the phase problem for one-dimensional sequences of disconnocted support is presented. This result rests on a mapping that converts a one-dimensional convolution into a two-dimensional one.

© 1984 Optical Society of America

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References

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  1. Y. M. Buck, L. G. Sodin, Opt. Commun. 30, 304 (1979).
    [CrossRef]
  2. J. L. C. Sanz, T. S. Huang, F. Cukierman, J. Opt. Soc. Am. 73, 1442 (1983).
    [CrossRef]
  3. T. R. Crimmins, J. R. Fienup, J. Opt. Soc. Am. 73, 218 (1983).
    [CrossRef]
  4. R. M. Mersereau, D. E. Dudgeon, IEEE Trans. Acoust. Speech Signal Process. ASSP-22, 320 (1974).
    [CrossRef]
  5. N. Canterakis, IEEE Trans. Acoust. Speech Signal Process. ASSP-31, 1256 (1983).
    [CrossRef]
  6. M. A. Fiddy, B. J. Brames, J. C. Dainty, Opt. Lett. 8, 96 (1983).
    [CrossRef] [PubMed]

1983 (4)

1979 (1)

Y. M. Buck, L. G. Sodin, Opt. Commun. 30, 304 (1979).
[CrossRef]

1974 (1)

R. M. Mersereau, D. E. Dudgeon, IEEE Trans. Acoust. Speech Signal Process. ASSP-22, 320 (1974).
[CrossRef]

Brames, B. J.

Buck, Y. M.

Y. M. Buck, L. G. Sodin, Opt. Commun. 30, 304 (1979).
[CrossRef]

Canterakis, N.

N. Canterakis, IEEE Trans. Acoust. Speech Signal Process. ASSP-31, 1256 (1983).
[CrossRef]

Crimmins, T. R.

Cukierman, F.

Dainty, J. C.

Dudgeon, D. E.

R. M. Mersereau, D. E. Dudgeon, IEEE Trans. Acoust. Speech Signal Process. ASSP-22, 320 (1974).
[CrossRef]

Fiddy, M. A.

Fienup, J. R.

Huang, T. S.

Mersereau, R. M.

R. M. Mersereau, D. E. Dudgeon, IEEE Trans. Acoust. Speech Signal Process. ASSP-22, 320 (1974).
[CrossRef]

Sanz, J. L. C.

Sodin, L. G.

Y. M. Buck, L. G. Sodin, Opt. Commun. 30, 304 (1979).
[CrossRef]

IEEE Trans. Acoust. Speech Signal Process. (2)

R. M. Mersereau, D. E. Dudgeon, IEEE Trans. Acoust. Speech Signal Process. ASSP-22, 320 (1974).
[CrossRef]

N. Canterakis, IEEE Trans. Acoust. Speech Signal Process. ASSP-31, 1256 (1983).
[CrossRef]

J. Opt. Soc. Am. (2)

Opt. Commun. (1)

Y. M. Buck, L. G. Sodin, Opt. Commun. 30, 304 (1979).
[CrossRef]

Opt. Lett. (1)

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Figures (1)

Fig. 1
Fig. 1

Sequence obeying separation requirement. N = 4, M = 3.

Equations (4)

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g ( n ) = 0 n < 0 , n ( 2 N 1 ) M , ( 2 N 1 ) m + N n < ( 2 N 1 ) ( m + 1 ) , 0 m < M .
g m ( n ) = g ( n ) ( 2 N 1 ) m n < ( 2 N 1 ) m + N = 0 otherwise ,
g ( n ) * g ( n ) = k = 0 M 1 l = 0 M 1 g k ( n ) * g l ( n ) .
f ( n , m ) = g [ n + ( 2 N 1 ) m ] ( 0 m < M , 0 n < 2 N 1 ) .

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