Sentence examples for using the convolution method from inspiring English sources

To analyze the experimental results and gain physical insights into the hydraulic bushing system, lumped system models of bushings with different design features are developed, and analytical expressions of transmitted force and internal pressure responses are derived by using the convolution method.

DWT has traditionally been implemented using the convolution method.

The smoothed pseudo splines were introduced in [12] in order to smoothen the pseudo splines by using the convolution method.

In order to get divergence free and curl free wavelets, one introduced the smoothed pseudo spline by using the convolution method.

The mask of Type I is obtained by taking the square root of the mask of Type II using the Fejér-Riesz lemma [7], i.e. a ˆ 2 = | 1 a ˆ | 2. The corresponding pseudo-spline can be defined in terms of their Fourier transform, i.e. ϕ ˆ m, ℓ k : = ∏ j = 1 ∞ k a ˆ m, ℓ ( 2 − j ξ ), k = 1, 2. In order to smoothen the pseudo-spline, one can use the convolution method.

The results were analyzed using the convolution and deconvolution method to extract the skin factor, productivity index and average permeability, which solved the problem of defining the exact reservoir boundaries and offers more advantages in the analysis, especially in future development plan and reduction in the noise data effect at the initial stage.

In image A, the noise is reduced using the convolution defined by the Gaussian method of noise reduction.

The generated THz pulses were acquired via the pump-probe sampling method using the convolution function of the THz electrical transient in the detector.

Evaluation on the ACE benchmark corpora shows that using the convolution tree kernel only can achieve comparable performance with previous best-reported feature-based methods.

The convolution of the latent image with the PSF is expressed as x ∗ v using the convolution operator ∗.

We could, of course, do that using the convolution integral.