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The codebook is obtained by optimizing over the chordal distance or mutual information between codewords.
The cost gap is also analyzed between the strategy of optimizing over the whole time-horizon and the strategy of optimizing over the small intervals.
(We have found that very little improvement in the policy is obtained by optimizing over the coefficients).
The group of stations is chosen by optimizing over the attribute weights of the hydrological distance, ensuring similarity and in-group homogeneity.
Notice that optimizing over the hidden layer H k has fixed weights W k and optimizing over the weight W k has fixed hidden layer H k. This minimization problem results in several independent, single-layer single-unit problems that can be solved with existing algorithms, without extra programming cost.
Hence, E [ Tr ( P ) ] is the average transmit power that can be minimized by optimizing over the beamforming matrix V ¯, and the power allocation matrix P to achieve the SINR targets.
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Moreover, if there is a V Y such that all components in diag{I−G} are minimized simultaneously, then this V Y must be optimal because it provides the largest possible freedom to optimize over the rest variables, i.e., U X, U Y, Λ X, and Λ Y. Applying (9.H.2 in [12]) on G, we obtain λ { G } ≺ w diag { G ̂ }, (28).
Collectors for building-scale solar thermal systems are generally fixed, so that energy capture is optimized over the course of a year, but is generally not optimal on any given day.
Such LA strategy can be formalized as a constrained optimization problem where the objective function, representing the system performance metric, is optimized over the constrained set of the available transmission parameters.
More importantly, however, we also extend the theorem to optimize over the Tikhonov regularization.
In order to optimize over the constellation choice we need to first derive a performance analysis of the considered equalizer.
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Justyna Jupowicz-Kozak
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