Sentence examples for basis functions to project from inspiring English sources

Mother wavelet parameterization allowed the tuning of basis functions to project the signals.

SSA is a technique, similar to empirical orthogonal functions employed in spatial analysis, that uses data-adaptive basis functions to separate a time series into statistically independent components that maximize the variability that each basis function describes20.

To do so, the BGK equation is projected onto the basis functions, leading to a system of partial differential equations.

After reducing the energy of the system, the columns of attained matrix Φ l are called basis functions which are used to project the variables into the lower space, using Eq. (7).

By convention, the DC term of the horizontal basis functions is to the left, and the DC term for the vertical basis functions is at the top.

We use the Fourier basis to project, filter and compute correctors for the coefficients.

A new frame can then be projected into the eigenspace defined by these basis functions and then back projected into the original image space.

Consider an arbitrary function (f(x) = sum_{k = 0}^{N} q_{k}operatorname {PAL}_{k}(x)) synthesized in the Walsh basis up to Paley order N. From Section 5.1 all basis functions in this synthesis projected onto a Hadamard matrix of (minimum) dimension (mathcal {M}(N equiv2^{m(N }).

The number of basis functions is set to 100.

5) A multi-resolution procedure adjusts basis functions from coarse to high resolution.

These basis functions are chosen to be linear Lagrange elements.