The speed with which the vehicle is moving through the gust field " V " allows conversion of these power spectral densities to different types of frequencies,
32.
The combination of these two parameters determines the shape of the power spectral densities and therefore the quality of the model's fit to spectra of observed turbulence.
33.
The combination of these two parameters determine the shape of the power spectral densities and therefore the quality of the model's fit to spectra of observed turbulence.
34.
In Fig . 1a and Fig . 1c the realization of noise with a uniform power spectral density ( white noise ) and a determinate period process are presented.
35.
The power spectral density of the stochastic force F ( \ omega ) can be derived by using the equipartition theorem and the fact that Brownian collisions are completely uncorrelated:
36.
The power spectrum of this example is not continuous, and therefore does not have a derivative, and therefore this signal does not have a power spectral density function.
37.
This means that an exact filter can be formed that takes white noise as an input and outputs a random process with the Dryden model's power spectral densities.
38.
In this case, one can define S ( f ), the power spectral density of x ( t ) \,, by taking the averaged derivative of F.
39.
A ) Facet feedback and wavelength resonances in the optical emission spectrum of a multimode Fabry-Perot laser; b ) power spectral density of a superluminescent light emitting diode.
40.
Driving these filters with independent, unit variance, band-limited white noise yields outputs with power spectral densities that match the spectra of the velocity components of the Dryden model.
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