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

새로운 맥클레란변환 계수 공식을 이용한 2차원 Fan 유한응답여파기의 효율적 설계

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)=coswc, where F($.$) is the McClellan transform and w 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 shows that these formulas lead to a very efficient design for 2-D zero-phase FIR fan filters.