Quantization and truncation effects on binary joint transform correlation

Abstract

Analysis of the quantization effects of the binarized joint power spectrum on the performance of the binary joint transform correlator (JTC) is investigated. The signal to noise ratio (SNR) of the binarized joint power spectrum is determined for various levels of the Fourier plane quantization of the binary JTC. The SNR is computed for the truncated binarized joint power spectrum plane and the binary JTC performance is determined for various levels of Fourier plane truncation. Analytical expression are derived for the capture effect of the binary JTC in the presence of the Fourier plane quantization. Nonlinear compression or truncation in the Fourier plane can improve the performance of the binary JTC at low quantization levels. Computer simulation is used to verify the results of the theoretical analysis.