New design of full band differentiators based on Taylor series
Ishtiaq Rasool Khan, Ryohji Ohba · IEE Proceedings - Vision Image and Signal Processing · 1999
The classical central difference approximations of derivative of a function based on Taylor series are the same as type III maximally linear digital differentiators for low frequencies. A new finite 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 modification is proposed in the design to minimise the region of inaccuracy near the Nyquist frequency edge.