Since its invention, the phasor has essentially been considered as a steady-state concept.
Up to now, this assumption has shaped most of the algorithms for phasor estimation. This …

We describe the design of finite-size linear-phase separable kernels for differentiation of
discrete multidimensional signals. The problem is formulated as an optimization of the …

In this paper, the design of a fractional order FIR differentiator is investigated. First, the
fractional derivative of the power function is defined. Then, the impulse response of the …

This paper describes the design of type III and type IV linear-phase finite-impulse response
(FIR) low-pass digital differentiators according to the maximally flat criterion. We introduce a …

Conventional numerical differentiation formulas based on interpolating polynomials,
operators and lozenge diagrams can be simplified to one of the finite difference …

Simple and accurate formulations are employed to represent discrete-time infinite impulse
response processes of both first-and second-order differentiators in the Z-domain. These …

A generalized framework for numerical differentiation (ND) is proposed for constructing a
finite impulse response (FIR) filter in closed form. The framework regulates the frequency …

This paper places into perspective the so-called algebraic time-derivative estimation method
introduced by Fliess and co-authors with standard results from linear state-space theory for …

Design of full-band infinite impulse response (IIR) digital differentiator (DD) and digital
integrator (DI) based on the L k-norm and the min-max optimality criteria have been …

A systematic and comprehensive framework for finite impulse response (FIR)
lowpass/fullband derivative kernels is introduced in this paper. Closed form solutions of a …