We propose a space-variant correlator using a joint transform correlator JTC architecture. The reference and target
images of a JTC are modulated by a random phase function which is the sample of a stationary white process ergodic in
mean and variance. The degree of shift-variance can be varied by changing the variance of the random phase function. The
joint power spectrum JPS is a sinusoidally varying function with a spatially nonvarying average value. This property is
advantageous in optical implementations when the JPS is captured by devices such as CCD with a limited dynamic range. The zero-order and the correlations approach delta functions in the correlation plane. By subtracting a constant value equal to its spatial average from the JPS, the undesirable zero-order can be eliminated.