ML p(r)ior | Spatial Continuum Extensions of Asymmetric Gaussian Channels (Multiple Access and Broadcast)

Spatial Continuum Extensions of Asymmetric Gaussian Channels (Multiple Access and Broadcast)

2016-02-02
This paper proposes a new model called \emph{spatial continuum asymmetric channels} to study the channel capacity region of asymmetric scenarios in which either one source transmits to a spatial density of receivers or a density of transmitters transmit to a unique receiver.This approach is built upon the classical broadcast channel (BC) and multiple access channel (MAC). For the sake of consistency, the study is limited to Gaussian channels with power constraints and is restricted to the asymptotic regime (zero-error capacity).The reference scenario comprises one base station (BS) in Tx or Rx mode, a spatial random distribution of nodes (resp. in Rx or Tx mode) characterized by a probability spatial density $u(x)$ and a request for a quantity of information with no delay constraint. This system is modeled as an $\infty-$user asymmetric channel (BC or MAC). To derive the properties of this model, a spatial discretization is performed and the equivalence with either a BC or MAC is established. A discretization sequence is then defined to refine infinitely the approximation. Achievability and capacity results are obtained in the limit of this sequence. The uniform capacity is then defined as the maximal symmetric achievable rate at which the distributed users can transmit/receive with no delay constraint.The capacity region is also established as the set of information distributions that are achievable. The tightness of these limits and their practical interest are briefly illustrated and discussed.
PDF

Highlights - Most important sentences from the article

Login to like/save this paper, take notes and configure your recommendations

Related Articles

2019-04-22

We first investigate two-user nonasymmetric sum-rate Poisson capacity with non-perfect photoncountin… show more
PDF

Highlights - Most important sentences from the article

2017-10-25

We study the transmission over a network in which users send information to a remote destination thr… show more
PDF

Highlights - Most important sentences from the article

2018-11-04
1811.01362 | cs.IT

This paper provides new inner and outer bounds on the capacity region of optical intensity multiple … show more
PDF

Highlights - Most important sentences from the article

2019-04-02

In this report, we generalize Shannon's push-to-talk two-way channel (PTT-TWC) by allowing reliable … show more
PDF

Highlights - Most important sentences from the article

2017-05-25

The availability of very wide spectrum in millimeter wave bands combined with large antenna arrays a… show more
PDF

Highlights - Most important sentences from the article

2018-07-15

In this paper, we study the multiple-antenna wireless communication networks, where a large number o… show more
PDF

Highlights - Most important sentences from the article

2018-12-26
1812.10525 | cs.IT

Using an order-theoretic framework, a novel achievable rate region is obtained for the general $K$-r… show more
PDF

Highlights - Most important sentences from the article

2018-01-09
1801.03066 | cs.IT

We characterize the capacity region of noiseless X-Channels with intermittent connectivity and delay… show more
PDF

Highlights - Most important sentences from the article

2018-11-25

A hybrid communication network with a common analog signal and an independent digital data stream as… show more
PDF

Highlights - Most important sentences from the article

2016-04-08
1604.02234 | cs.IT

Approximate capacity regions are established for a class of interfering multiple access channels con… show more
PDF

Highlights - Most important sentences from the article

2019-03-29
1903.12360 | cs.IT

There are currently a plurality of capacity theories of fading channels, including the ergodic capac… show more
PDF

Highlights - Most important sentences from the article

2017-11-27

This paper considers an unlicensed multiple-access channel (MAC) that coexists with a licensed point… show more
PDF

Highlights - Most important sentences from the article

2019-02-24

Non-orthogonal communications play an important role in future communication architectures. In such … show more
PDF

Highlights - Most important sentences from the article

2018-08-06
1808.01810 | cs.IT

In this paper, we consider a general K-user multiple-input multiple-output (MIMO) broadcast channel … show more
PDF

Highlights - Most important sentences from the article

2018-07-02
1807.00474 | cs.IT

We investigate the information theoretic limits of two types of state-dependent models in this disse… show more
PDF

Highlights - Most important sentences from the article

2013-03-09

This paper provides a statistical characterization of the individual achievable rates in bits/s/Hz a… show more
PDF

Highlights - Most important sentences from the article