Sentence examples for using the orthogonal property from inspiring English sources

In this paper, we derive some interesting identities on Bernoulli and Euler polynomials by using the orthogonal property of Laguerre polynomials.

By using the orthogonal property of FSK signaling, we have discussed an overall channel estimation method without the explicit pilot symbols.

The fuzzy residual of the general single-term FFDEs is obtained and then using the orthogonal property of the Jacobi polynomials, a fuzzy algebraic system is extracted, which is solved easily to find the unknown fuzzy coefficient of the approximate solution of the problem.

Using the orthogonal property above, the first stage of the SLR scheme breaks up the columns of channel matrix into the two matrices of half size, which are as follows: H α = h 1, h 3 and H β = h 2, h 4. (15).

The second order effects are calculated using the orthogonal properties of the buckling modes.

The coefficients in the series are determined by using the orthogonal properties of the functions to satisfy the boundary conditions in a mean-square-error sense.

By denoting u l the standard deviation of U l, using the orthogonal properties of the variates and the decompositions in (2) and (3), we obtain x l j = cor (X j, U l ) = u l ϕ j l and y l k = cor (Y k, U l ) = u l φ k l.

The MUSIC algorithm [8, 9] uses the orthogonal property of the signal and noise subspaces to estimate the signal directions and it mainly uses the eigenvectors that lie in the noise subspace.

Using the orthogonal and dual properties of these subspaces and variational representations to account for the permitted and restricted instantaneous motions of the end-effector, a rigorous general and systematic procedure for the formulation of a generalized Jacobian is proposed.

Using the orthogonal test, suitable technological parameters were obtained.

BZ6-1 conditionsnditions were optimized using the orthogonal test based on the method [ 32].