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It is based on the summation of frequency components, with shifts corresponding to the velocity dispersion and distance.
Frequency-domain analysis conducted with the 12-cylinder engine showed that characteristics parameters of combustion could be estimated from the summation of frequency amplitude when engine worked for power generation application, which was maintained the same engine speed normally.
It could be concluded that there existed a good linear relationship between the summation of frequency amplitude in the selected frequency range and the characteristics parameters under the same engine speed working condition.
In the case of human samples, this same sequence was based on the summation of frequency values obtained for the 4 HS granulations and the HS-NB sample used (Table 2).
Three parameters were calculated, including mean frequency, which is calculated by summation of frequency times power value of that frequency, standard deviation of frequency, which is the variation of the frequency along time, and the coefficient of variation, which is computed by dividing the standard deviation of frequency by the mean frequency.
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According to Parseval's theorem, the energy in a signal S t) is given as follows [ 16, 17]: (6) ∫ S (t ) 2 d t = ∑ l = − ∞ ∞ c (l ) 2 + ∑ j = 0 ∞ ∑ k = − ∞ ∞ d j (k ) 2. This equation implies that the energy of a signal is the summation of low-frequency and high-frequency coefficients.
It utilizes a DFT matrix W of size β K with subsequent weighting and summation of the frequency bins by P to obtain the subchannel symbols.
The final global coefficient matrices at any frequency can be simply formed by a summation of the frequency-independent global matrices and the need to compute the numerical integration at each frequency is eliminated.
In comparing the frequencies of actual gene sequences and randomly permutated sequences, the null hypothesis is that the summation of averaged frequencies of a motif in the real gene sample set is consistent with the motif distribution of the summation of averaged frequency of randomized sequences.
The test statistics are the summation of averaged frequencies for different motifs.
Then, the weighted summation of the natural frequency residual and the coordinate strain modal assurance criterion residual is used as the objective function in the proposed dynamic FE model updating procedure.
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