Design of elliptically symmetric two-dimensional FIR filters using the McClellan transformation

An analytic technique for choosing the coefficients of the first-order McClellan transformation for the design of elliptically symmetric two-dimensional FIR filters is described. It is found that the results obtained by this analytic technique are nearly identical to those obtained by an optimization procedure reported earlier. The number of multiplications per output sample required to implement these filters is shown to be small.