Design of a fifth-order FIR digital differentiator using modified weighted least-squares technique
Digital Signal Processing
Least-squares design of higher order nonrecursive differentiators
IEEE Transactions on Signal Processing
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The new differentiators are important for applications where the first, second, or higher-order derivative of a digital signal is required to be accurate at mid-range frequencies. In this paper hybrid optimization method is proposed for the design of digital differentiator. The proposed method explores and exploits the search space locally as well as globally to formulate the error between the practical digital differentiator and the ideal digital differentiator. A procedure is described which can be used to design digital differentiators satisfying prescribed specifications, not only simple and fast but also optimal in the least-squares sense.