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Using all previous assumptions, it is straightforward to compute the variance of for both diversity schemes.
Once we have computed the products (36) and (37), it is straightforward to compute the descent search direction hgn.
Hence, from these two remarks and from the results obtained in Section 3.1, it is straightforward to compute the interference power expressions for the added-signal B-IFDMA.
Considering segment as paths, it is straightforward to compute the matrices (B_{ij}), (J_{ij}) and the vector (S_{ij}) for system (1) and (3) (see [43] for the detailed expressions).
Therefore, it is straightforward to compute the estimated distance, d ij ̂, from the received power measurement, P ̂ ij dBm, as being d ij ̂ = d 0 · 1 0 P 0 dBm - P ̂ ij dBm 10 · η. (4).
After the coefficients (a_{i,j}) are determined, it is straightforward to compute the approximate solution (u_{N,M} x,t)) at any value of ((x,t)) in the given domain from the following equation: sum_{i=0}^{N}sum _{j=0}^{M}a_{i,j} P_{L,i}^{(alpha_{1},beta_{1})}(x P_{T,j}^{(alpha_{2},beta_{2})}(t).
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Hence, we obtain the bound derived from Theorem 1 in Arratia et al. (1990) using an improved bound (Barbour et al., 1992) dTV(ℒ W), 𝒫≤ϑ−1(1− e−ϑ)(b1+ b2) with The bound b1 is straightforward to compute as it only contains the first moment.
The matrix A is similar to matrix A 1 but in addition consists of gradient vectors of the multipath time delays from the other two walls, and is straightforward to compute.
Given the rejection region is small values of the test statistic, theoretical p-value for MinP-val test is straightforward to compute using (1).
Although the Bayes factors for the discrete hypotheses tested in answering our first question were straightforward to compute, Bayes factors for point-null hypotheses are difficult to compute for complex models.
Since the same number of trajectories is used for computing an intermediate event and a SParSE estimate, it is straightforward to compare the two strategies with computational fairness.
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