Journal of Physical Studies 4(3), 282–290 (2000) DOI: https://doi.org/10.30970/jps.04.282 FAST HYBRID JOINT TRANSFORM CORRELATOR М. V. Shovgenyuk1, V. M. Fitio2, L. I. Muravsky3, P. A. Hlushak1 1Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., Lviv, UA-79011, Ukraine E-mail: mv@icmp.lviv.ua 2State University ‟Lvivska Polytechnica”, 12 Bandera Str., Lviv, UA-79013, Ukraine 3 Institute of Physics and Mechanics of the National Academy of Sciences of Ukraine, 5 Naukova Str., Lviv, UA-79601, Ukraine

The hybrid joint transform correlator consisting of two stages is reviewed. In the maiden stage of the correlator, the joint Wiener spectrum of two random phase masks consisting of square elements with complex amplitude transmittance, equal to $\pm 1$ is reshaped. In the second stage, the digital processing of a joint spectrum recorded by a charge-coupled device (CCD-camera) is executed. The capability of calculating the correlation peak coordinates in the second digital stage is theoretically justified when implementing the inverse Fourier transform of one string and one column of an interference pattern. The analytical investigations of such correlator characteristics are affirmed by the outcomes of the second stage computer simulation. The experimental research on the correlation analysis of two identical random $256 \times 256$ masks are conducted too. The satisfactory signal-to-noise ratio is obtained at an unidimensional calculation of the correlation signal in a hybrid correlator that solely allows to draw the conclusion about the coincidence of two phase masks.

PACS number(s): PACS numbers: 42.30.-d. 42.30.Kq, 42.79.Hp

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