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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 63, Iss. 12 — Dec. 1, 1973
  • pp: 1578–1583

Point-source position estimation in under-sampled optical systems

S. J. Kishner and T. W. Barnard  »View Author Affiliations

JOSA, Vol. 63, Issue 12, pp. 1578-1583 (1973)

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This paper presents a new technique for measuring the location of point images in an image-sampling system. Primary attention is given to the situation in which the image is under sampled. Such under sampling could be the result of data-storage or bandwidth limitations, and would introduce errors into standard methods of image location. The new technique is valid for under-sampled as well as adequately sampled images, and consists of a linear-filtering procedure of the same complexity required by standard location-measurement techniques. The problem is formulated as one of statistical-estimation theory, the optimum-location procedures being derived for an additive-gaussian-noise environment, and for conditions of known and unknown image irradiance.

S. J. Kishner and T. W. Barnard, "Point-source position estimation in under-sampled optical systems," J. Opt. Soc. Am. 63, 1578-1583 (1973)

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  1. C. W. Helstrom, Statistical Theory of Signal Detection (Pergamon, New York, 1960).
  2. D. Middleton, An Introduction to Statistical Communication Theory (McGraw-Hill, New York, 1960).
  3. C. E. Shannon, Proc. IRE 37, 10 (1949).
  4. M. Schwartz, W. Bennett, and S. Stein, Communication Systems and Techniques (McGraw-Hill, New York, 1966).

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