Exact(8)
An extension of the linear system by a static polynomial transform yields a non-Gaussian process.
Using the property of the Laplace transform yields s α L [ y ] − y ( 0 ) = 1 s − L [ y 2 ]. (55).
(26) Applying the inverse Laplace transform yields hat{u}(xi,t)=E_{alpha,1}bigl -a^{2}xi^{2}t^{alpha}bigr)hat{varphi}(xi).
To ensure that this transform yields meaningful results, we will precede its use by band-pass filtering the pseudo-real MEG sources used in this article (see Section 4.1).
The decomposition in (3) can also be approximated by samples of discrete-time Fourier transform, yields a decomposition off the form A [ k ] = U ′ [ k ] Σ ′ [ k ] V ′ H [ k ], k = 0, 1, …, K − 1. (7).
Under noisy environment, the original binary census transform yields very different encoded bits as shown in Fig. 3b, while the trinary census transform produces more consistent encoded bits with only one error as shown in Fig. 3c.
Similar(52)
Numerical solution of the frequency domain integral equations and numerical inversion of the Fourier transform yield the time domain response of the pile soil system.
Hilbert transform yielded the phase within the whisking cycle starting at maximum protraction (0°), via maximum retraction (back-directed movement up to 180°) and return (≤360°).
All analyses involving GH peak were performed on base 10 log transformed GH peak responses to GHRH-arginine secretagogue testing because the log transform yielded nearly gaussian residuals in the regression model.
The evaluation demonstrates that the use of wavelet transform (WT) yields better results than methods without wavelet decomposition.
These signals are subsequently transformed into analytic signals with the Hilbert transform, which yields the instantaneous amplitudes and frequencies.
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