Sentence examples for using the characteristic function from inspiring English sources

By constructing proper Lyapunov Krasovskii functional and using the characteristic function method, passivity conditions are derived in terms of linear matrix inequalities (LMIs).

Using the characteristic function (CHF) method to evaluate the PDF p γ1) requires to obtain Ψ γ 1 ( j v ).

The cooperative values of the each tuple are measured using the characteristic function of the CoPG to identify the coalitions.

It is shown that even the derivation of the Kalman filter algorithm has advantages when formulated using the characteristic function approach.

In this paper, we propose an image splicing detecting method using the characteristic function moments for the inter-scale co-occurrence matrix in the wavelet domain.

The BER performance of the proposed PSPF scheme with discriminator detection is evaluated using the characteristic function (CF) approach; see [15].

The homogenized electroelastic properties of a representative material element are computed using the characteristic functions and the material properties of the fiber and matrix.

To solve the system of equations (17 - 21 17 - 21 firstequation (17) one can conclude that (u(t)=-R^{-1}(t)B^{T}(t)lambda(t)) (this is true since (R(t)>0)), then using the characteristic fromtions (chi_{[0,1-equation) and (chi_{[17eta,1]}(t)) we inconeorate equations (19) and (20) and apply the Agrawal method in [23].

To compute the D S, G) we use the characteristic function, χ, which essentially works as a binary map of the reconstructed anomaly where the object of interest is represented by 1's.

In order to evaluate the bit error rate performance, we need to evaluate the asymptotic behavior of the post-processing noise observed at each entry of matrix Δ W t. Using the 'characteristic function' approach, we can prove that conditioned on the channel matrix, the noise behaves asymptotically like a Gaussian random variable.

Using the fact that the characteristic function of h i # Δ H t w j is E exp − ȷ ℜ z ∗ h i # Δ H t w j | W, H = exp − 1 4 | z | 2 σ m, K 2, we obtain that conditionally on the channel E exp ȷ ℜ z ∗ Δ W t i, j − exp − 1 4 | z | 2 σ ~ m, K 2 + σ ~ w, K 2 → 0 almost surely.