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Exact(7)
Lagrange multiplier optimization with equality constraints is utilized to calculate the optimal distribution matrix that maximizes the load capacity of the failed bearing.
Considering a SU transmit power constraint, our design objective is to determine the transmit covariance matrix that maximizes the SU rate, while we protect the PU by enforcing both a PU average interference constraint and a PU outage probability constraint.
Assuming relays and receivers with multiple antennas, the optimal relay matrix that maximizes the capacity between the source and destination is developed when a direct link is not considered or is negligible.
Without interference decoding, we have that K2,2 = 0, and K2,1 is the covariance matrix that maximizes log I + H 22 H K 2, 1 H 22 + H 12 H K 1 H 12 I + H 12 H K 1 H 12 (12).
While Hassibi and Hochwald [18] provide the optimal noise covariance matrix that maximizes a tight lower bound on the mutual information between the input and the output when both the transmitter and the receiver have imperfect CSI, Ding and Blostein [22] provide the optimal signal covariance matrix and show that the uniform power allocation scheme is suboptimal.
Thus, the best that the transmitter can do is to choose the covariance matrix that maximizes (12).
Similar(53)
The LDA derives a projection matrix A that maximizes the Fisher's discriminant criterion: J A = arg max A A S b A T A S ω A T (20).
The GDA method would find the projection matrix v that maximizes the ratio: V = v T B v v T V v = [ v 1, v 2, …, v t ] (11).
The aim of the GDA is to find such projection matrix UΦ that maximizes the following Fisher criterion: (12) U opt Φ = arg max | (U Φ ) T B Φ U Φ | | (U Φ ) T W Φ U Φ | = [ u 1 Φ, …, u N Φ ].
We are interested in finding the choice of phase splitting α, covariance matrices K 1 ( 1 ), K 1 ( 2 ), K p and Kr, and the correlation matrix Ψ that maximize the secondary rate R2 while ensuring a target rate R 1 ⋆ for the primary user pair under average power constraints P1 and P2 at the primary and secondary transmitters, respectively.
The columns of sensing matrix that maximize ( {leftVert {Phi}_j^H UrightVert}_2 /{leftVert {Phi}_jrightVert}_2 ) determine the elements of support set Ω. Finally, signal X is recovered by using pseudo inverse operation.
Related(20)
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