Design of a fifth-order FIR digital differentiator using modified weighted least-squares technique
Digital Signal Processing
Neural weighted least-squares design of FIR higher-order digital differentiators
DSP'09 Proceedings of the 16th international conference on Digital Signal Processing
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The eigenfilter method has been proposed for designing higher order differentiators very effectively. The design method is based on the computation of an eigenvector of an appropriate real, symmetric, and positive-definite matrix. The elements of this matrix are usually evaluated by very time-consuming numerical integration. 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 and design time is reduced greatly for designing long filters