Title :
Design of recursive differentiators using quadratic programming
Author :
Sunder, S. ; Ramachandran, V.
Author_Institution :
Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Que., Canada
Abstract :
A method for the design of first and higher-degree recursive differentiators with constant group-delay characteristics using a least-squares approach is presented. In this method, a mean-square error based on the difference between the desired and actual frequency response is formulated in a quadratic form. Quadratic programming is employed wherein the constraint on stability is accommodated to design stable differentiators. Our method is compared with the linear programming (LP) approach in terms of the computational complexity and the variation of magnitude and group-delay errors with frequency. It is shown that the differentiators designed using our method have a much lower computational complexity and smaller variation of the magnitude and group-delay error with frequency than those designed using the LP approach
Keywords :
computational complexity; delays; differentiating circuits; digital filters; errors; frequency response; least squares approximations; quadratic programming; recursive functions; stability; FIR digital filters; computational complexity; constant group-delay characteristics; group-delay error; least-squares approach; magnitude error; mean-square error; quadratic programming; recursive differentiators; Computational complexity; Design methodology; Differential equations; Fourier series; Frequency response; Linear programming; Minimax techniques; Quadratic programming; Stability; Transfer functions;
Conference_Titel :
Circuits and Systems, 1993., Proceedings of the 36th Midwest Symposium on
Conference_Location :
Detroit, MI
Print_ISBN :
0-7803-1760-2
DOI :
10.1109/MWSCAS.1993.342932
