Title :
Formulas for McClellan transform parameters in designing 2-D zero-phase FIR fan filters
Author :
Song, Young-Seog ; Lee, Yong Hoon
Author_Institution :
Dept. of Electr. Eng., Korea Adv. Inst. of Sci. & Technol., Taejon, South Korea
Abstract :
New formulas for McClellan (1973) 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)=cos w/sub c/, where F(/spl middot/) is the McClellan transform and w/sub c/ is the cutoff frequency of the one-dimensional (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.
Keywords :
FIR filters; error analysis; filtering theory; transforms; two-dimensional digital filters; 1D prototype filter; 2D zero-phase FIR fan filters; McClellan transform parameters; closed-form formulas; cutoff frequency; filter design; integral squared error criterion; one-dimensional prototype filter; Approximation methods; Chebyshev approximation; Cutoff frequency; Finite impulse response filter; Frequency response; Polynomials; Postal services; Prototypes; Two dimensional displays;
Journal_Title :
Signal Processing Letters, IEEE
