Since the data considered here is Gaussian, a method using second-order statistics only is sufficient for such an estimation problem as it will capture all the required data statistics.
The methods used —second-order differencing, split operator propagation, Chebyshev polynomial expansion—are discussed in terms of their applicability to various classes of dynamic problems.
It consists in connecting a graph-based knowledge representation with a design reasoning method which uses first-order logic formulas.
The nonlinear temporal differential equation of motion having two frequency parametric excitations is solved using second-order method of multiple scales.
Fig. 5 Modeling errors using first-order function for each pixel in LUT method Fig. 6 Modeling errors using second-order function for each pixel in LUT method.
We introduced a new method that, for the first time, using second-order motion, concurrently eliminated all luminance-based cues to numerosity in visual stimuli.
Nonlinear dynamic analyses were run to generate the response database for the FFTT system and the reliability index was calculated using second-order reliability methods.
In our practical experiment, the operation time for the time domain BP algorithm is 14676.80 s, the time for our proposed algorithm is 40.43 s, and the higher-order approximation method (we use sixth-order approximation to simulate here) consumes 48.58 s.
Methods for using fourth order spectral quantities to estimate the unknown parameters in non-linear, randomly excited dynamic systems are developed.
