Sentence examples for given variances from inspiring English sources

Given variances of channel gains and a transmission rate, the optimization problem can be written as follows P out P 1 *, P 2 *, σ 1, 2, σ 1, d, σ 2, d, R 1, R 2 = min P 1, P 2 P out P 1, P 2, σ 1, 2, σ 1, d, σ 2, d, R 1, R 2, (25).

Firstly, a normal distribution has the highest entropy for a given variance.

For any given variance, the additive Gaussian noise model results in the least favorable Cramér-Rao bound for parameter estimation.

Each channel tap is a zero mean complex random variable with a given variance which is determined from the power-delay profile of the channel.

Figure 11 a shows the threshold computed using the Bayesian robust methodology for a given variance of p[n] and for different outage probabilities θ.

This models a variation, both in the real and imaginary parts of the weights, that is random with given variance, but proportional to the original value.

Furthermore, for a noise term with given variance we get a further capacity reduction by taking the worst case noise distribution, namely, a Gaussian distribution.

The t value for an individual sample (x) is calculated as follows: begin{aligned} t=frac{x-bar{x}}{s} end{aligned} (10 where t is the normalized range from specific sample (x) away from a given mean and given variance.

In the case of the fast LS evolution, the curvature was calculated according to the work Merriman, Bence, and Osher (MBO) [23, 24], namely, by G⊗ϕ, where G is a 2D gaussian of a given variance.

For the variance-matched Gaussian noise, the random microscopic behavior was defined as having the same spectral density as a Gaussian, i.e., the entropy of the distribution was maximized with the given variance constraint.

The values observed were supposed to follow a normal distribution with zero mean and a given variance.