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Specifically, the signal data is augmented with its Hilbert transform to obtain the analytic signal.
It first uses the two-dimensional Fourier transform to obtain the field distribution at the metal surface.
The approach taken here is to find the the 3rd order transfer function and apply the bilinear transform to obtain direct form II digital filter coefficients, and use a standard DFII filter algorithm.
We combine a product integration rule with fast algorithms (fast heat potentials, nonuniform FFT, fast Gauss transform) to obtain a high-order accurate method with optimal complexity.
In the second approach, sparse reconstruction is used, in lieu of the Fourier transform, to obtain quadratic time frequency distributions from compressed measurements observed in the time domain or the joint-variable domain.
We use the windowed Fourier transform to obtain the local wave number information in the vicinity of artificial boundaries, and adopt the operator splitting method to obtain an adaptive local artificial boundary condition.
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The state space equations are linear and can therefore be Laplace transformed to obtain their solution.
Sequencing of recombinant clones was done to confirm the correct ligation of the gene in frame with the glutathione S-transferase in the pGEX plasmid and BL21 DE3 RIL E. coli was transformed to obtain clones for protein expression.
Posterior distribution of parameters is obtained from Bayes rule and the parameters are transformed to obtain return levels for a specified return period.
To simplify the construction of vessels with rigid panels (aluminium alloy, plywood or steel) the original hull form was transformed to obtain developable hull surfaces.
The basic underlying concept of this approach is the definition of abstract models that can be transformed to obtain models near implementation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com