Sentence examples for of unknown amplitude from inspiring English sources

The new technique involved substituting trial functions of unknown amplitude into the variational functional, which is then rendered stationary as an algebraic function of the amplitude coefficients.

Assume that the forced oscillations are modeled by a sinusoidal signals of unknown amplitude, frequency, phase and arrival time embedded in colored noise.

The reading of information, encoded in the state of a signal that comes reflected by a memory cell, is achieved by measuring the signal and deciding its state to be either the vacuum state or some coherent state of unknown amplitude.

For each participant, design matrices were created in which each experimental event was considered an impulse stimulus that generated a hemodynamic response function of unknown amplitude.

We now generate δ u ( t ) on each of the two boundaries and equate these to zero to generate two equations for the pair of unknown amplitudes ( a, b ).

Namely, the extension of the Coan and Urbana solution for isotropic plates in order to consider all the terms of the unknown amplitudes of the out-of-plane displacements and the derivation of a solution for orthotropic plates.

where A is the diagonal matrix of the squares of the unknown amplitudes, I is an identity matrix, and ( {sigma}_w^2 ) is the variance of the white noise.

The frequency estimator under consideration is a second-order filter designed for the estimation of the frequency of a sinusoid with unknown amplitude, frequency, and phase.

The first type of input, as in standard H2 optimal filtering, is a zero mean wide sense stationary white noise, while the second type is a linear combination of sinusoidal signals each of which has an unknown amplitude and phase but known frequency.

In the no-basis windows, a modified parametric algorithm (MPA) is used only for the computation of the unknown amplitudes A k and initial phases ψ k of the spectral components, since the frequencies are equal to ( {f}_k^{mathrm{BW}} ), and the damping factors are forced to be null or equal to ( {alpha}_k^{mathrm{BW}} ) for the Prony and ESPRIT methods, respectively.

Finally, the offset value for the simulated spherical aberration (z=11, Fig. 4 j)) was adjusted to account for the unknown amplitude of aberration in this mode introduced by the objective correction collar.