Title : 
A new design technique for maximally linear differentiators
         
        
            Author : 
Medlin, Gregory W. ; Adams, John W.
         
        
            Author_Institution : 
Dept. of Electr. & Comput. Eng., South Carolina Univ., Columbia, SC, USA
         
        
        
        
            Abstract : 
An approach to the design of linear-phase, maximally linear full-band and wideband differentiators with or without designated stopbands is proposed. The design is based on minimization of the integrated square error for the frequency response and is formulated as a quadratic programming problem with linear equality constraints. The closed-form solution is obtained by the method of Lagrange multipliers. Several design examples are included. They indicate significant improvement in low-frequency error when compared to similar designs based on the minimax criterion
         
        
            Keywords : 
digital filters; filtering and prediction theory; Lagrange multipliers; closed-form solution; digital filters; frequency response; integrated square error; linear equality constraints; maximally linear differentiators; minimax criterion; minimization; quadratic programming; Closed-form solution; Computer errors; Finite impulse response filter; Frequency response; Lagrangian functions; Linearity; Minimax techniques; Passband; Vectors; Wideband;
         
        
        
        
            Conference_Titel : 
Acoustics, Speech, and Signal Processing, 1989. ICASSP-89., 1989 International Conference on
         
        
            Conference_Location : 
Glasgow
         
        
        
        
            DOI : 
10.1109/ICASSP.1989.266555