Scientists studying such systems need an ontology that includes the first-order ontology characterising physical phenomena, the second-order ontology characterising perceivers of physical phenomena, and a (recursive) third order ontology characterising perceivers of perceivers, including introspectors.
A set of deterministic recursive equations is obtained as the alternative expressions of the fuzzy variational principle by means of the second-order perturbation technique.
The first modality is an implementation of the direct computation of a composite length DFT, the second one employs the second-order recursive filtering method, and the third one performs the new pruned decomposed transform.
To add a stability margin to the stability of the second-order (2nd-order) recursive filter, this paper first introduces a stability trapezoid by trimming the well-known stability triangle of the 2nd-order recursive digital filter.
The filterFourier function computes each Fourier coefficient by implementing a recursive algorithm similar to the second-order Goertzel algorithm of [25].
In this method, the power envelop of the delay-and-sum beamformer (DSB) output, Q ω, n), and the delay-and-subtract output used for a reference signal, U ω, n), are obtained by using the first-order recursive equations: Figure 5 Block diagram of the GSC-based direct signal power estimation.
The physical coordinates and ground reaction force data were low-pass filtered with a second-order recursive Butterworth filter (cutoff frequencies 6 and 18 Hz, respectively) according to Winter's technique.
In the present study some recursive relations have been implemented which can be derived by using the first order central differences and application of these simple and elegant relations to higher order difference schemes has been demonstrated to improve the accuracy over conventional approaches.
Specifying these probabilities allow the mean-field Equation (5) to be written as a second-order linear recursive sequence x (k + 1 ) = (| E | + 1 ) x (k ) − | E | x (k − 1 ) for which a closed form is provided in (Brousseau, 1971).
Furthermore, a smoother behaving estimate (bar {n}) is obtained by exploiting a first-order recursive filter of (hat {n}), bar{n}(t) = alphabar{n} t-1) + (1-alpha)hat{n} t-1(28).
