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Fig. 9 Comparison between simulation and analytical throughput Fig. 10 Comparison between analytical transmission probabilities Fig. 11 Comparison between analytical normalized throughput.
Herein, we report a two-dimensional (2D) analytical model of normalized elastic moduli of electrospun mats by formulating a relationship with the governing fiber and structural parameters.
The analytical model of normalized mat modulus has also accounted for fiber curvature in the form of sinusoidal curve along with the specimen dimensions considered during the uniaxial tensile test.
A complete PA measuring system was built around the new DACS to determine the analytical properties: the normalized noise equivalent absorption is 7.5 × 10−10 cm−1 W Hz−1/2, while the estimated dynamic range for measuring optical absorption is 7.5 orders of magnitude.
Figure 11 compares the normalized analytical throughput between proposed and model in [1].
One advantage is that all-pass filter-based methods have normalized analytical forms with no iterative calculations.
Figure 4 gives the empirical distribution of the SCN of non-central uncorrelated Wishart matrices (under (mathcal {H}_{1}) hypothesis) and its corresponding normalized analytical approximation using Lemma 1 for different SNR values.
We consider the 1D case, the material properties shown in Table 1, a number of grid points n x = 165 and a grid spacing dx = 4 m/n x. Figure 1 compares numerical and analytical time histories (normalized) at 24 cm from the source computed with a time step dt = 10 μs.
Numerical solutions of the utilized model were successfully approximated by a dimensionless analytical equation relating the normalized maximum attainable neck-in with ηE,U,max3η0, ηE,PηE,U, −N2/N1 and De.
It is possible, using the electric field described in Eq. 4, to obtain analytical formulas for the normalized transmittance through Gaussian Decomposition method [18].
Fig. 7 Empirical detection probability of the SCN metric and its corresponding analytical detection probability using normalized non-central/central approximation as a function of the number of received samples for ρ=−10 dB, and P fa=0.1.
