11,154 research outputs found
Dealing with Interference in Distributed Large-scale MIMO Systems: A Statistical Approach
This paper considers the problem of interference control through the use of
second-order statistics in massive MIMO multi-cell networks. We consider both
the cases of co-located massive arrays and large-scale distributed antenna
settings. We are interested in characterizing the low-rankness of users'
channel covariance matrices, as such a property can be exploited towards
improved channel estimation (so-called pilot decontamination) as well as
interference rejection via spatial filtering. In previous work, it was shown
that massive MIMO channel covariance matrices exhibit a useful finite rank
property that can be modeled via the angular spread of multipath at a MIMO
uniform linear array. This paper extends this result to more general settings
including certain non-uniform arrays, and more surprisingly, to two dimensional
distributed large scale arrays. In particular our model exhibits the dependence
of the signal subspace's richness on the scattering radius around the user
terminal, through a closed form expression. The applications of the
low-rankness covariance property to channel estimation's denoising and
low-complexity interference filtering are highlighted.Comment: 12 pages, 11 figures, to appear in IEEE Journal of Selected Topics in
Signal Processin
A Coordinated Approach to Channel Estimation in Large-scale Multiple-antenna Systems
This paper addresses the problem of channel estimation in multi-cell
interference-limited cellular networks. We consider systems employing multiple
antennas and are interested in both the finite and large-scale antenna number
regimes (so-called "massive MIMO"). Such systems deal with the multi-cell
interference by way of per-cell beamforming applied at each base station.
Channel estimation in such networks, which is known to be hampered by the pilot
contamination effect, constitute a major bottleneck for overall performance. We
present a novel approach which tackles this problem by enabling a low-rate
coordination between cells during the channel estimation phase itself. The
coordination makes use of the additional second-order statistical information
about the user channels, which are shown to offer a powerful way of
discriminating across interfering users with even strongly correlated pilot
sequences. Importantly, we demonstrate analytically that in the
large-number-of-antennas regime, the pilot contamination effect is made to
vanish completely under certain conditions on the channel covariance. Gains
over the conventional channel estimation framework are confirmed by our
simulations for even small antenna array sizes.Comment: 10 pages, 6 figures, to appear in IEEE Journal on Selected Areas in
Communication
Binding potentials for vapour nanobubbles on surfaces using density functional theory
We calculate density profiles of a simple model fluid in contact with a
planar surface using density functional theory (DFT), in particular for the
case where there is a vapour layer intruding between the wall and the bulk
liquid. We apply the method of Hughes et al. [J. Chem. Phys. 142, 074702
(2015)] to calculate the density profiles for varying (specified) amounts of
the vapour adsorbed at the wall. This is equivalent to varying the thickness
of the vapour at the surface. From the resulting sequence of density
profiles we calculate the thermodynamic grand potential as is varied and
thereby determine the binding potential as a function of . The binding
potential obtained via this coarse-graining approach allows us to determine the
disjoining pressure in the film and also to predict the shape of vapour
nano-bubbles on the surface. Our microscopic DFT based approach captures
information from length scales much smaller than some commonly used models in
continuum mechanics.Comment: 15 pages, 15 figure
Recounting Dyons in N=4 String Theory
A recently discovered relation between 4D and 5D black holes is used to
derive weighted BPS black hole degeneracies for 4D N=4 string theory from the
well-known 5D degeneracies. They are found to be given by the Fourier
coefficients of the unique weight 10 automorphic form of the modular group
Sp(2,Z). This result agrees exactly with a conjecture made some years ago by
Dijkgraaf, Verlinde and Verlinde.Comment: 5 page
The Effects of Product Ageing on Demand: The Case of Digital Cameras
The static differentiated product demand model when applied to products with rapid product turnover and declining prices, yields implausible results. One response is to explicitly model the inter-temporal choices of consumers but computational demands require restrictive assumptions on consumer heterogeneity and limits on the characteristics included in the model. We propose, instead, to supplement the static model with a control for the age that each product has been in the market. This approach is applied to the US digital camera market and we find we obtain more plausible estimates. Our results are consistent with inter-temporal price discrimination by firms. Furthermore, our results suggest that ignoring the effects of product ageing may result in substantially overestimated price elasticities and technological progress and underestimated price-cost markups.Discrete Choice; Demand Dynamics; Forward-Looking Behavior; Heterogeneous Preferences
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