Capacity region of the multiantenna Gaussian broadcast channel with analog Tx-Rx beamforming

Abstract

The research leading to these results has received funding from the European Community's Seventh Framework Programme (FP712007-2013) under grant agreement n 213952, MIMAX and by the Spanish Government (MICINN) under projects TEC2007-68020-C04-02rrCM (MULTIMIMO) and CONSOLIDER-INGENIO 2010 CSD2008-00010 (COMONSENS).

Improper Signaling for SISO Two-User Interference Channels With Additive Asymmetric Hardware Distortion

“…In the following lemma, we show that this technique results in the boundary of the rate region in (10). [48]). Every point in the boundary of the rate region corresponds to a point in the boundary of the PSINR region, and vice versa.…”

Resource optimisation and interference management for multiuser communication systems in a cooperative environment

“…For the most general steering matrix W, where the only constraint is unit column norm for each of its columns, optimisation strategies may be difficult to achieve. However, it is possible with superposition coding [12,60] to merge data streams of users in a single data stream at the transmitter and that, in effect, results in same steering vector w ∈ C M for all users [61]. In that case, it is possible to define a scalar called Channel Energy for each user as…”

“…Since the user numbering is arbitrary, without loss of generality it is possible to assume that 0 [61] proved that the optimal user ordering to achieve maximum throughput or minimise power consumption is given by…”

“…Chapter 2: Review of Rate Regions & Interference Management increasing function of the channel energy vector. If F ≡ {w| ||w|| ≤ 1, w ∈ C M } is the set of all feasible steering vectors respecting the power constraint, it can be proved [61] that φ (F) is a convex set. So it is desired to have a steering vector w whose image is located on the Pareto frontier of the E space.…”

“…So it is desired to have a steering vector w whose image is located on the Pareto frontier of the E space. The problem was solved with appropriate power allocation in [61] and the significance of this solution has been discussed therein. However, to the best of our knowledge, characterisation of the pareto frontier for a given rate vector r is not addressed in literature.…”