Digital Simulation Of Reticle-Systems

Various methods for simulation of reticle-systems will be described, which have practical application for the simulation of missile guidance systems. The reticle-pattern, as well as the received image, is digitized using common picture processing equipment. The sampled representations, of the reticle and image, are converted to a polar-coordinate system, and the data is then put into a vector-string. Setting up a cyclic matrix with this vector-string, one can describe the periodic system-signal by cyclic convolution of reticle-string and image-string. For this linear discrete system approximation, the transfer function in the Z-domain can be deduced. A similarity transform to the Jordan form of a quadratic cyclic matrix, by means of the discrete Fourier matrix, reduces the amount of calculations required. This is an advantage in digital simulation.