Orthogonal Realization of First-Order Allpass Filters for Two-Dimensional Signals

摘要

An orthogonal realization for two-dimensional first-order strictly-stable allpasstransfer functions is presented. It consists of two shift (delay) elements (one for each dimension) and three two-input/two output memory-less lossless cells (i.e., elementary orthogonal rotations). We establish a one-to-one correspondence between the parameters of our orthogonal realization and those of the corresponding transfer function. A brief discussion of finite precision effects our realization and a comparison with previous realizations are also included. Reprints. (rh)