Title :
A least-squares approach for the design of nonrecursive differentiators of arbitrary order
Author :
Sunder, S. ; Ramachandran, Ravi P.
Author_Institution :
Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Que., Canada
Abstract :
A method which can be used to design low-pass nonrecursive linear-phase digital differentiators is described. The method involves formulating an error function based on the absolute mean-square difference between the amplitude responses of the practical and ideal differentiators as a quadratic function. The filter coefficients are obtained by solving a system of linear equations. This method leads to a lower mean-square error and is computationally more efficient than the eigenfilter method and the method based on the Remez exchange algorithm
Keywords :
circuit CAD; differentiating circuits; digital filters; least squares approximations; low-pass filters; absolute mean-square difference; amplitude responses; arbitrary order; design; error function; least-squares approach; linear-phase digital differentiators; low-pass; nonrecursive differentiators; quadratic function; Biomedical signal processing; Computer errors; Digital filters; Eigenvalues and eigenfunctions; Equations; Frequency; Nonlinear filters; Signal processing algorithms; Speech; Symmetric matrices;
Conference_Titel :
Circuits and Systems, 1992., Proceedings of the 35th Midwest Symposium on
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-0510-8
DOI :
10.1109/MWSCAS.1992.271359
