title: Taylor series based two-dimensional digital differentiators
abstract: A new type of Taylor series based 2-D finite difference approximation is presented, and it is shown that the coefficients of these approximations are not unique. Explicit formulas are presented for one of the possible sets of coefficients for an arbitrary order, by extending the previously presented 1-D approximations. These coefficients are implemented as maximally linear 2-D FIR digital differentiators, and their formulas are modified to narrow the inaccuracy regions on the resultant frequency responses, close to the Nyquist frequencies
keyphrases: Taylor series two-dimensional digital differentiators frequency response Nyquist frequencies 2D finite difference approximation 2D FIR digital differentiators FIR digital filters maximally linear digital differentiators magnitude response