Sentence examples for by using the unitary from inspiring English sources

By using the unitary extension principle, we constructed tight framelets with desired approximation order from a given smoothed pseudo spline.

In this paper, we design tight-frame symmetric wavelet filters by using the unitary extension principle of [A. Ron, Z. Shen, J. Funct. Anal. 148 (1997) 408 447].

Moreover, by using the unitary extension principle, we get the construction of tight framelets with desired approximation order based on smoothed pseudo splines.

In this section, we give a construction of tight framelets and discuss the approximation order of tight framelets from smoothed pseudo splines by using the unitary extension principle of [4].

Then, by using the unitary property of matrices U and V, we can compute the singular value associated to the singular vectors u 1 and v 1 by (d_{1} = boldsymbol {u}_{1}^{T}boldsymbol {K}_{xy}boldsymbol {v}_{1}).

All nodes of a given VAA (cooperating nodes plus the main node) will simultaneously access the channel by using the same unitary resource, selected with probability 1/R.

By completing the square, the positive frequency components (using the unitary Fourier transform) are given by which can be solved in terms of the Fresnel integrals with the properties C 0) = S 0) = 0 and C = S = ±1/2 [ 8].

Using the unitary matrix as initialization, the proposed algorithm can reach the optimal solution in a few iterations.

Multiuser detection has been an attractive technique to cancel MAI by using the information of interfering users [16] in traditional CDMA systems using unitary codes.

Moreover, the unitary expressions of Cauchy stress tensor have been derived for the PDLLA/nano-HA under uniaxial compression (or stretch), biaxial compression (or stretch), pure shear and simple shear load by using the theory of continuum mechanics.

For this purpose, we use the unitary transformation technique.