Then, substituting (14) in (7), the ergodic capacity is numerically obtained after maximizing over the expectation with respect to the PDF in (2) of the conditional mutual information.
Knowing that is also upper bounded by the binary entropy, the ergodic capacity in bits per channel use is obtained by maximizing over the parameter as (12).
Finally, in Figures 10 and 11, we compare the achievable rates and the upper bound when each are maximized over the time sharing factor.
Next, assuming that the channel is constrained to dimensions and even without maximizing over the input distribution, the channel capacity can be obtained by averaging over the PDF in (2) as follows: (10).
The maximization of the expression to the right of the equality in (C.17) over is equivalent to maximizing over the more general distribution, and henceforth, without loss of generality we consider the general probability distribution.
Maximizing over the mean of all the products (max-mean): m u = E n { max ϕ p u ϕ, n } and ϕ u = arg E n { max ϕ p u ϕ, n } and c∗=arg maxu m u.
The temperature perturbations at upper mesospheric altitudes associated with the diurnal tides are observed to maximize over the tropics and to vary somewhat regularly with season (Hagan et al., 1999).
Maximizing over the sum of all the products (max-sum): m u = ∑ n max ϕ p u ϕ, n and ϕ u = arg ∑ n max ϕ p u ϕ, n and ϕ∗=arg maxu m u.
Regression analysis of milk fat data suggested that MFD was not maximized over the dose levels investigated, despite delivery of 34.5 g of trans-10, cis-12 CLA in the 100-g dose of CLA.
This average system data rate shall be maximized over the vectors ϑ and γ th ( u ) subject to a minimum required user date rate R ̄ min ( u ) and a target BER BERT: R ̄ sys, opt = max ϑ, γ th ( u ) ∑ u = 1 U D u N ru R ̄ ( u ) ( ϑ, γ th ( u ) ) subject to R ̄ ( u ) ( ϑ, γ th ( u ) ) ≥ R ̄ min ( u ) BER ¯ ( u ) ( ϑ, γ th ( u ) ) ≤ BER T. (15).
