A Comparative Analysis of Associative Properties of Fourier versus Walsh Digital Holograms
A. Derzhypolskyy a, D. Melenevskyy b and A. Gnatovskyy b
a Kyiv National Taras Shevchenko University, Kyiv, Ukraine
b Institute of Physics of NASU, Kyiv, Ukraine
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Received: 3 09 2007;
A digital implementation of the Fourier holography scheme with identical reference and signal beams is considered. Investigations of the properties of this scheme were reported on in a number of papers. At the same time a concept of virtual optics is widely used in data encryption and data processing, whereas digital implementation of the Fourier holography scheme may be provided using not only discrete Fourier transform. Another discrete digital transform may be used as soon as it has several properties similar to the Fourier transform. The Walsh transform is the subject to consider in this work. A comparison of digital Fourier and Walsh versions of the named holographic scheme is conducted by means of their associative properties. Considered is the retrieving of information stored in the hologram using parts of different amounts of the original data. Comparison is provided with the two types of data stored: a raster image representing visual information and an image representing a set of data bits. Comparable parameters are the mean image contrast for visual data image and the bit detection accuracy for a set of data bits.
DOI: 10.12693/APhysPolA.112.1101
PACS numbers: 42.30.Kq, 42.30.Va, 42.30.Sy, 42.40.-i