Sentence examples for using the frequency relation from inspiring English sources

Using the frequency relation and the amplitude frequency relationships derived from a previous study, limit cycle oscillations (LCOs) for self-excited systems can be predicted analytically.

A simple approximation to the fundamental harmonic of the response is obtained by first linearizing the static terms using the frequency relations developed in reference [1] for the autonomous conservative oscillator and then using the averaging method to solve the linearized forced problem.

The water-depth ratios for the other tanks are accordingly adjusted using the frequency distribution relation between the water tanks.

Relations between the excitation torque and the vertical shaking force are examined using the frequency response for the linearized system.

The 3k unidentified parameters are estimated by the grid search, i.e., all possible values of frequency and phase (amplitude can be estimated using the assumed frequency and phase by using this relation; a j ̂ = Σ t x ( t ) sin ( ω j ̂ t + ϕ ̂ ) Σ t ( x ( t ) sin ( ω j ̂ t + ϕ ̂ ) ) 2 [140] are tested and the one maximizing the likelihood function (66) is selected as the best estimate.

Measured low-frequency imaginary impedance Z″ provides estimate of the overall capacitance Ci using the relation Ci = 1/|ωZ″ |

and using the relation (3.28).

Using the relation, we obtain.

In this system, the recalibration process was done using a time-frequency relation measured by an unbalanced MZI denoted by a dash box in Fig. 1(b).

Subsequently, (4) a pseudo-frequency is calculated using the f = Fc/ relation, in which Fc is the central frequency of the wavelet function, and Δ represents the sampling periods.

Then we use the relation of the channel frequency response matrix and the channel impulse response matrix to transform the above noise-perturbed matrix to another noise-perturbed matrix.