FORMULAS FOR MCCLELLAN TRANSFORM PARAMETERS IN DESIGNING 2-D ZERO-PHASE FIR FAN FILTERS

New formulas for McClellan transform parameters for the design of 2-D zero-phase FIR fan filters are optimally derived under the integral sq uared error (ISE) criterion. By imposing the constraint that F(O,O) = cos w(c), where F(.) is the McClellan transform and w(c) is the cutoff frequency of the one-dimensional (1-D) prototype filter, the ISE is d irectly minimized without modifying it and, as a consequence, closed-f orm formulas for the McClellan transform parameters are obtained. It i s shown that these formulas lead to a very efficient design for 2-D ze ro-phase FIR fan filters.