Design of two-dimensional zero phase FIR fan filters via the McClellan transform

The authors present a method for the design of 2-D zero-phase finite-impulse-response (FIR) fan filters with quadrantal symmetry using the McClellan transform. They give conditions that the coefficients of the McClellan transform must satisfy in order to avoid the scaling of the transform. The proposed design method satisfies these conditions. The resulting cut-off isopotential of the design method is shown to have a very small relative absolute deviation from the ideal one. The method is extended to the design of 2-D zero-phase FIR fan filters of general shape