Power spectrum 72, Table

If a homodyne method is used, the measured autocorrelation function (g,x) can be interpreted by using the Siegert relation. Equation 5.454. The translational and rotational diffusion coefficients for several specific shapes of the particles are given in Table 5.9. The respective power spectrum functions can be calculated by using the Fourier transform. Equation 5.449b. 

Figures 9.24-9.26 show, respectively, the cross-correlations, autocorrelations, and power spectrum of the detector signals for the 500-pm glass particles at = 2. In Fig. 9.24, the curves for the opposite detector pairs, 9/11 and 10/12, are of particular interest. They exhibit nearly zero values of correlation at zero time lag, indicating significant antisymmetric sloshing motion. The autocorrelations, shown in Fig. 9.25, reveal the existence of both near-periodic and random fluctuations. The power spectrum of the detector signals in Fig. 9.26 shows the dominant fluctuations of the solids motion in the bed. The dominant frequencies for the 500- and 705-mm glass particles at u,/umf = 1.5, 2, 3, and 4 are listed in Table 9.2. The...

The first eight columns of Table 2 are the equivalent of a convolution with the impulse response of a LP filter. The power spectrum of any of these... 

Of all the chemical species for which pSR were measured, CS2 has the largest lost polarization of 84% (Table 5). No Mu has been observed in it, but this is not surprising because CS has unsaturated bonds and Mu, if formed, may add to them. In such a case Mu-substituted radicals are expected instead. It was a good challenge to search for Mu-substituted radkals in CS at KEK BOOM where a powerful pS Resonance spectrometer was operating. In principle. Mu-substituted radicals can be measured more easily by high-field pS Rotation than by pS Resonance. In the Rotation method all the p spins evolve simultaneously and reveal themselves in the Fourier transformation power spectrum at their intrinsic frequencies. In the Resonance method, on the other hand, the RF frequency is fixed and the magnetic field must be swept-by-step to see whether die p spin asymmetry has... 

In Fig. la, the first part of a synthesised profile based on four sine waves with different wavelengths, phase-shifts and amplitudes (Table 3) is shown. The whole profile length was 4.096 mm. In Fig. lb, the square of the FFT power spectrum (C =Al +B ) of the profile is plotted vs. the logarithm of the profile wavelength, i.e., the inverse of the spatial frequency. Fig. Ic illustrates the roughness... 

The IR and UV pulses employed for selective control of O-D dissociation with their power spectrum are depicted in Figure 7.23a, and the resulting vibrational mix is shown in Figure 7.23b. As can be seen in Figure 7.23b, there is a stable combination of pure O-D modes with maximum population in the 10,5> mode. This combination has sufficient prior stretch in the O-D bond, and results from subjecting this combination to UV pulses with different frequencies are displayed in Figures 7.24 and 7.25 and collected in Table 7.4. The flux values of Table 7.4 isolate the UV pulse with a frequency of 46,062 cm to be most effective, which incidentally will provide sufficient energy to place the HOD molecule with 5 quanta of excitation in the... 

Since the disturbance power spectrum S w) in this example is limited to a narrow frequency band and it can be shown that the spectrum does not significantly overlap any of the weighting functions Wt( u ) for z = 1,..., 5, it is expected from the variance analysis for the band-limited noise case (Equation (2.95)) that the accuracy of the estimated coefficients should not not be significantly compromised by the disturbance. This is confirmed by the results given in Table 2.1 and Figures 2.10 and 2.12 where it can be seen that the estimated Laguerre model gives a very accurate representation of the true process. 

Table 1 Mathematical definition of the EMG feature extraction methods. Let x represents the EMG signal in a segment n. N denotes the length of the EMG signal. w is the continuous weighting window function. / is the number of segments covering EMG signal.

Fig. 2.5. (a) Power spectrum of acceleration with bonded tool cutting conditions spindle speed = 1050 rpm table feed rate = 34 798 mm/min depth of cut = 10 16 mm. (b) Power spectrum of acceleration with brazed tool cutting conditions spindle speed = 845 rpm table feed rate = 34 798 mm/min depth... 

It is hands-on-experience time let us tune the spectrometer for optimal performance, and then take a spectrum. The cooking recipe in Table 2.3 is spelled out for an old fashioned all-hardware X-band spectrometer with 200 mW maximal output power. 

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