Sentence examples for large scale approximation from inspiring English sources
In large scale approximation, the equations are transformed to the black-oil polymer flooding model.
In our numerical examples we demonstrate that the reduced order controller computed from the small scaled problem can be used to control the large scale approximation of the PDE system.
A large-scale approximation of the downlink SINR is also provided.
Therefore, a large-scale approximation of the joint ergodic SE in (23) is provided by (left (1-frac {B}{S}right)left (zeta ^{text {ul}} {bar R}_{jk}^{text {ul}}+zeta ^{text {dl}}{bar R}_{jk}^{text {dl}}right)).
When the deterministic equivalents are applied at finite M and K, they are referred to as large-scale approximations.
Furthermore, large-scale approximations of the uplink and downlink SINRs are derived for the proposed M-MMSE scheme.
Furthermore, large-scale approximations of the uplink and downlink signal-to-interference-and-noise ratios (SINRs) are derived, which are tight in the large-system limit.
Large-scale approximations of the uplink and downlink signal-to-interference-and-noise ratios (SINRs) for the proposed M-MMSE scheme are derived, which are asymptotically tight in the large-system limit.
To verify the accuracy of the large-scale approximations from Section 3, 10,000 independent Monte-Carlo channel realizations are generated to numerically calculate the joint achievable SE in (23).
Except for the channel variance ({text {var}} left {mathbf {h}_{jjk}^{H} mathbf {w}_{jk}right } =mathbb {E}left {left |mathbf {h}_{jjk}^{H} mathbf {w}_{jk} -mathbb {E}left {mathbf {h}_{jjk}^{H} mathbf {w}_{jk} right } right |^{2} right }), large-scale approximations of the signal power and the interference in (22) can be calculated by following similar procedures as in Appendix 1.
Large-scale approximations of the uplink and downlink SINRs are derived in Section 3. A power control algorithm is proposed in Section 4. Simulation results are provided in Section 5 before we conclude the paper in Section 6. Notation: Boldface lower and upper case symbols represent vectors and matrices, respectively.
