We have recently presented (SPIE Proceedings, Vol. 579, pp. 215-224, 1985) a new hybrid optical/digital technique to compute the geometric moments of an image using its Fourier plane intensity. In this paper, we present the results of a simulation of this system. The parameters investigated include: input symmetries, sampling interval in the frequency plane, the order of the differentiating FIR filter, the detector area, frequency plane detector dynamic range and additive noise. An example is also presented to illustrate the applicability of this approach in a typical pattern recognition problem.