Dept. of Electr. Eng., National Taiwan Univ.SOO-CHANG PEIShyu, Jong-JyJong-JyShyu2007-04-192018-07-062007-04-192018-07-061992-0502714310http://ntur.lib.ntu.edu.tw//handle/246246/2007041910032308Eigenfilter method has been recently proposed for designing higher-order differentiators very effectively. The design method is based on the computation of an eigen-vector of an appropriate real, symmetric and positive-definite matrix. The elements of this matrix is usually evaluated by very time-consuming numerical integration. In this paper, we present simple analytic closed-form formulas to compute these matrix-elements very efficiently. Hence the eigenfilter approach for differentiators becomes much easier and more accurate than before, also the design time is reduced greatly with the larger filter length. © 1992 IEEE.application/pdf197255 bytesapplication/pdfen-USDifferentiating circuits; Matrix algebra; Design method; Differentiators; Eigenfilter methods; Filter length; Higher order digital differentiators; Matrix elements; Numerical integrations; Positive-definite matrices; Designconference paper10.1109/ISCAS.1992.230127http://ntur.lib.ntu.edu.tw/bitstream/246246/2007041910032308/1/00230127.pdf