document: Taylor series based two-dimensional digital differentiators 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
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