New design of full band differentiators based on Taylor series
نویسندگان
چکیده
The classical central difference approximations of the derivative of a function based on Taylor series are the same as type III maximally linear digital differentiators for low frequencies. A new ®nite difference formula is derived, which can be implemented as a fullband type IV maximally linear differentiator. The differentiator is compared with type III maximally linear and type IV equiripple minimax differentiators. A modi®cation is proposed in the design to minimise the region of inaccuracy near the Nyquist frequency edge.
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