A new method for the design of two-dimensional recursive digital filters

A method for designing general two-dimensional digital recursive filters is presented. This method involves an iterative optimization procedure that is based on a modified Marquardt algorithm. The error function to be minimized is composed of the real part and imaginary part of the frequency response error and of stability error that is computed in the spatial domain. Analytic formulas for the derivatives of error function with respect to filter coefficients are derived, so the error derivatives requires in the optimization procedure can be calculated analytically rather than numerically. This results in saving design time significantly. Several examples that demonstrate the capability and the efficiency of this method are given.<
>