By Raphael Hunger
This booklet bargains with the optimization-based joint layout of the transmit and obtain filters in MIMO broadcast channel within which the consumer terminals might be built with numerous antenna parts. in addition, the utmost functionality of the method within the excessive energy regime in addition to the set of all possible quality-of-service necessities is analyzed.
First, a primary duality is derived that holds among the MIMO broadcast channel and digital MIMO a number of entry channel. This duality build permits the effective answer of difficulties initially posed within the broadcast channel within the twin area the place a almost certainly hidden convexity can usually be published.
On the foundation of the proven duality outcome, the gradient-projection set of rules is brought as a device to unravel limited optimization difficulties to worldwide optimality lower than yes stipulations. The gradient-projection device is then utilized to fixing the weighted sum fee maximization challenge that's a valuable optimization that arises in any community application maximization.
In the excessive energy regime, an easy characterization of the bought functionality turns into attainable since the weighted sum cost application converges to an affine asymptote within the logarithmic strength area. we discover closed shape expressions for those asymptotes which permits for a quantification of the asymptotic expense loss that linear transceivers need to face with recognize to soiled paper coding.
In the final half, we solution the elemental query of feasibility in quality-of-service established optimizations with inelastic site visitors that includes strict hold up constraints. lower than the belief of linear transceivers, no longer each set of quality-of-service requisites can be possible making the ability minimization challenge with given decrease certain constraints at the cost for instance infeasible in those situations. We derive a whole description of the quality-of-service feasibility zone for arbitrary channel matrices.
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Analysis and Transceiver Design for the MIMO Broadcast Channel: 8 (Foundations in Signal Processing, Communications and Networking) by Raphael Hunger