Design of a fifth-order FIR digital differentiator using modified weighted least-squares technique
Digital Signal Processing
Time-domain analysis of the Savitzky-Golay filters
Digital Signal Processing
Hybrid optimization technique for the design of digital differentiator
CSECS'11/MECHANICS'11 Proceedings of the 10th WSEAS international conference on Circuits, Systems, Electronics, Control & Signal Processing, and Proceedings of the 7th WSEAS international conference on Applied and Theoretical Mechanics
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A method is described that can be used to design non-recursive linear-phase higher order differentiators that can perform differentiation over any frequency range. The method is based on formulating the absolute mean-square error between the amplitude responses of the practical and ideal differentiator as a quadratic function. The coefficients of the differentiators are obtained by solving a set of linear equations. This method leads to a lower mean-square error and is computationally more efficient than both the eigenfilter method and the method based on the Remez exchange algorithm. Design of differentiators based on minimization of the relative mean-square error is also carried out. Finally, the method is extended to the design of frequency selective higher order differentiators