By Raphael Hunger
This ebook bargains with the optimization-based joint layout of the transmit and obtain filters in MIMO broadcast channel during which the consumer terminals should be built with a number of antenna components. in addition, the utmost functionality of the approach within the excessive strength regime in addition to the set of all possible quality-of-service standards is analyzed.
First, a basic duality is derived that holds among the MIMO broadcast channel and digital MIMO a number of entry channel. This duality build allows the effective answer of difficulties initially posed within the broadcast channel within the twin area the place a potentially hidden convexity can usually be printed.
On the foundation of the proven duality end result, the gradient-projection set of rules is brought as a device to resolve limited optimization difficulties to international optimality below sure stipulations. The gradient-projection software is then utilized to fixing the weighted sum price maximization challenge that's a principal optimization that arises in any community application maximization.
In the excessive strength regime, an easy characterization of the bought functionality turns into attainable since the weighted sum cost software converges to an affine asymptote within the logarithmic energy 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 resolution the basic query of feasibility in quality-of-service dependent optimizations with inelastic site visitors that includes strict hold up constraints. less than the belief of linear transceivers, now not each set of quality-of-service standards can be possible making the ability minimization challenge with given reduce certain constraints at the expense 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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Additional resources for Analysis and Transceiver Design for the MIMO Broadcast Channel: 8 (Foundations in Signal Processing, Communications and Networking)
Analysis and Transceiver Design for the MIMO Broadcast Channel: 8 (Foundations in Signal Processing, Communications and Networking) by Raphael Hunger