Efficient Design of 2-D FIR Fan Filters Using New Formulas for McClellan Transform Parameters

Abstract

New formulas for McClellan transform parameters for the design of 2-D zero-phase FIR fan filters are optimally derived under the integral squared error(ISE) criterion. By imposing the constraint that F(0,0)= cosω˛, where F(ㆍ) is the McClellan transform and ω˛ is the cutoff frequency of the 1-D prototype filter, the ISE is directly minimized without modifying it and, as a consequence, closed-form formulas for the McClellan transform parameters are obtained. It is shown that these formulas lead to a very efficient design for 2-D zero-phase FIR fan filters.