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In fact, unsigned (signed) LTR required in the average only 8 (9) seconds in networks with 5000 nodes whereas TRANSWESD (in approximation mode!) needed 150 (260) seconds.
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By using a central difference approximation, curvature mode shapes were then calculated from the displacement mode shapes.
This is due to the fact that there is no approximation when mode shapes are calculated [10]. .
Numerical approximation of modes using the midpoint method is applied to study the modes.
Mode-matched Gaussian approximation - The mode m of the pdf is estimated from observations and we set the mean μ = m and variance 2μ.
Harvey (1981) applied the locked-mode approximation method to approximate the Green's functions in time domain for full-wave with superposition of normal modes (surface waves) by adding a large velocity half-space to the bottom of given velocity structures.
Nolet et al. (1989) concluded that the evaluation of the Green's function requires 50 100 higher modes for locked-mode approximation.
We derive the accurate close-form capacity approximation for each mode under imperfect CSIT at first and calculate the optimal BPJ-EE of each mode based on the approximation.
For example, at the error probability of 10-6, the codeword length required with mode-matched approximation is approximately 1.7 × 104 bits, while that with mean-matched approximation is approximately 3.8 × 104 bits.
A three mode approximation is used in the simulation study.
Based on a single mode approximation, the partial differential equations of motion are transformed into two temporal equations.
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