Spectral analysis density

Elastic scattering is also the basis for Hdar, in which a laser pulse is propagated into a telescope s field of view, and the return signal is collected for detection and in some cases spectral analysis (14,196). The azimuth and elevation of the scatterers (from the orientation of the telescope), their column density (from the intensity), range (from the temporal delay), and velocity (from Doppler shifts) can be deterrnined. Such accurate, rapid three-dimensional spatial information about target species is useful in monitoring air mass movements and plume transport, and for tracking aerosols and pollutants (197). 

Figure 8. Spectral analysis involving direct and indirect dampings at T = 300 K. The direct damping parameter has been chosen greater (y° = 0.25 f ) when the indirect damping is missing, than (Y° — 0.025Si) when it is present (y — 0.1 SI) in order to distinguish clearly the spectral densities. Dirac delta peaks are corresponding to the situation without any damping. co° = 3000 cm-1,...

Cu, oo describes the influence of the radiation source, (dfJy/dl) is the spectral radiation density for the background intensity, B0 is the radiant density for an analytical line at the concentration c = 1 and A7L is the physical width of the analysis line. The second term (Ai) describes the influence of the spectral apparatus. 

Wames [49] observed a discontinuity in a plot of shock velocity vs. particle velocity for anthracene at a density of 1.8 g/cm, which he attributed to an intermolecular coupling reaction. More recently Engelke and Blais [50] have found direct evidence of dimerization in mass spectral analysis of shocked anthracene at 18 GPa. That pressure corresponds closely to a density of 1.8 g/cm according to the pressure-volume Hugoniot data of Wames [49]. This in turn matches the reaction threshold found in the AIREBO MD simulations. 

Cross-correlation and spectral analysis have proven invaluable tools for quantifying the frequency dependent characteristics of the human subject. The cross-spectral density function, or cross-spectrum Sxyif), can be obtained from the random target x t) and random response y t) by taking the Fourier transform of the cross-correlation function Vxyir), that is, Sxyif) = Ffr yfr), or in the frequency domain via Sxy if) = X(/) y(/), or by a nonparametric system identification approach (e.g., spa.m in Matlab ). The cross-spectrum provides estimates of the relative amphtude (i.e., gain) and phase-lag at each frequency. Gain, phase, and remnant frequency response curves provide objective measures of pursuit... 

Cross-correlation and spectral analysis have proven invaluable tools for quantifying the frequency-dependent characteristics of the human subject. The cross-spectral density function, or cross-spectrum can be obtained from the random target x t) and random response y(t) by taking the... 

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