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3 September 2008 Cost function statistical analysis in double random phase encoding
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We examine the Amplitude-Encoding (AE) case of the Double Random Phase Encoding (DRPE) technique. A cost function is the function we use to evaluate an attempted decryption with our original input image. For systems with a relatively small key-space we can evaluate the output of every key to get an overall idea of the spread of these keys in key-space. However for larger systems this is not practical. Based on a normalised root mean squared cost function we wish to identify expressions for the mean and variance of the output (decrypted) intensity for a sample set of keys in a large system (256x256 pixels).
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David S. Monaghan, Unnikrishnan Gopinathan, Guohai Situ, Thomas J. Naughton, and John T. Sheridan "Cost function statistical analysis in double random phase encoding", Proc. SPIE 7072, Optics and Photonics for Information Processing II, 70720Z (3 September 2008);

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