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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 70, Iss. 1 — Jan. 1, 1980
  • pp: 103–110

Space-blur bandwidth product in correlator performance evaluation

B. V. K. Vijaya Kumar and David Casasent  »View Author Affiliations

JOSA, Vol. 70, Issue 1, pp. 103-110 (1980)

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The effects of space-invariant blurring in the frequency plane of a coherent optical correlator on the system’s performance are considered. The correlator performance criteria used include loss in output correlation peak amplitude, output signal-to-noise ratio, and variation in the probability of a false alarm for a fixed probability of detection. A statistical approach is used to derive general expressions for the mean m and variance var of the output correlation. Expressions for the three correlator performance criteria are then obtained in terms of m and var. When these results are applied to several specific cases, we find that the performance of a correlator can be described and controlled by a new parameter, the space-blur bandwidth product.

© 1980 Optical Society of America

B. V. K. Vijaya Kumar and David Casasent, "Space-blur bandwidth product in correlator performance evaluation," J. Opt. Soc. Am. 70, 103-110 (1980)

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