1,178 research outputs found
On Cooperative Multiple Access Channels with Delayed CSI at Transmitters
We consider a cooperative two-user multiaccess channel in which the
transmission is controlled by a random state. Both encoders transmit a common
message and, one of the encoders also transmits an individual message. We study
the capacity region of this communication model for different degrees of
availability of the states at the encoders, causally or strictly causally. In
the case in which the states are revealed causally to both encoders but not to
the decoder we find an explicit characterization of the capacity region in the
discrete memoryless case. In the case in which the states are revealed only
strictly causally to both encoders, we establish inner and outer bounds on the
capacity region. The outer bound is non-trivial, and has a relatively simple
form. It has the advantage of incorporating only one auxiliary random variable.
We then introduce a class of cooperative multiaccess channels with states known
strictly causally at both encoders for which the inner and outer bounds agree;
and so we characterize the capacity region for this class. In this class of
channels, the state can be obtained as a deterministic function of the channel
inputs and output. We also study the model in which the states are revealed,
strictly causally, in an asymmetric manner, to only one encoder. Throughout the
paper, we discuss a number of examples; and compute the capacity region of some
of these examples. The results shed more light on the utility of delayed
channel state information for increasing the capacity region of state-dependent
cooperative multiaccess channels; and tie with recent progress in this
framework.Comment: 54 pages. To appear in IEEE Transactions on Information Theory. arXiv
admin note: substantial text overlap with arXiv:1201.327
On X-Channels with Feedback and Delayed CSI
The sum degrees of freedom (DoF) of the two-user MIMO X-channel is
characterized in the presence of output feedback and delayed channel state
information (CSI). The number of antennas at each transmitters is assumed to be
M and the number of antennas at each of the receivers is assumed to be N. It is
shown that the sum DoF of the two-user MIMO X-channel is the same as the sum
DoF of a two-user MIMO broadcast channel with 2M transmit antennas, and N
antennas at each receiver. Hence, for this symmetric antenna configuration,
there is no performance loss in the sum degrees of freedom due to the
distributed nature of the transmitters. This result highlights the usefulness
of feedback and delayed CSI for the MIMO X-channel.
The K-user X-channel with single antenna at each transmitter and each
receiver is also studied. In this network, each transmitter has a message
intended for each receiver. For this network, it is shown that the sum DoF with
partial output feedback alone is at least 2K/(K+1). This lower bound is
strictly better than the best lower bound known for the case of delayed CSI
assumption for all values of K.Comment: Submitted to IEEE ISIT 2012 on Jan 22, 201
Secure Degrees of Freedom of MIMO X-Channels with Output Feedback and Delayed CSIT
We investigate the problem of secure transmission over a two-user multi-input
multi-output (MIMO) X-channel in which channel state information is provided
with one-unit delay to both transmitters (CSIT), and each receiver feeds back
its channel output to a different transmitter. We refer to this model as MIMO
X-channel with asymmetric output feedback and delayed CSIT. The transmitters
are equipped with M-antennas each, and the receivers are equipped with
N-antennas each. For this model, accounting for both messages at each receiver,
we characterize the optimal sum secure degrees of freedom (SDoF) region. We
show that, in presence of asymmetric output feedback and delayed CSIT, the sum
SDoF region of the MIMO X-channel is same as the SDoF region of a two-user MIMO
BC with 2M-antennas at the transmitter, N-antennas at each receiver and delayed
CSIT. This result shows that, upon availability of asymmetric output feedback
and delayed CSIT, there is no performance loss in terms of sum SDoF due to the
distributed nature of the transmitters. Next, we show that this result also
holds if only output feedback is conveyed to the transmitters, but in a
symmetric manner, i.e., each receiver feeds back its output to both
transmitters and no CSIT. We also study the case in which only asymmetric
output feedback is provided to the transmitters, i.e., without CSIT, and derive
a lower bound on the sum SDoF for this model. Furthermore, we specialize our
results to the case in which there are no security constraints. In particular,
similar to the setting with security constraints, we show that the optimal sum
DoF region of the (M,M,N,N)--MIMO X-channel with asymmetric output feedback and
delayed CSIT is same as the DoF region of a two-user MIMO BC with 2M-antennas
at the transmitter, N-antennas at each receiver, and delayed CSIT. We
illustrate our results with some numerical examples.Comment: To Appear in IEEE Transactions on Information Forensics and Securit
Capacity Region of Finite State Multiple-Access Channel with Delayed State Information at the Transmitters
A single-letter characterization is provided for the capacity region of
finite-state multiple access channels. The channel state is a Markov process,
the transmitters have access to delayed state information, and channel state
information is available at the receiver. The delays of the channel state
information are assumed to be asymmetric at the transmitters. We apply the
result to obtain the capacity region for a finite-state Gaussian MAC, and for a
finite-state multiple-access fading channel. We derive power control strategies
that maximize the capacity region for these channels
Interference and X Networks with Noisy Cooperation and Feedback
The Gaussian -user interference and X channels are
investigated with no instantaneous channel state information (CSI) at
transmitters. First, it is assumed that the CSI is fed back to all nodes after
a finite delay (delayed CSIT), and furthermore, the transmitters operate in
full-duplex mode, i.e., they can transmit and receive simultaneously.
Achievable results are obtained on the degrees of freedom (DoF) of these
channels under the above assumption. It is observed that, in contrast with no
CSIT and full CSIT models, when CSIT is delayed, the achievable DoFs for both
channels with full-duplex transmitter cooperation are greater than the best
available achievable results on their DoF without transmitter cooperation. Our
results are the first to show that the full-duplex transmitter cooperation can
potentially improve the channel DoF with delayed CSIT. Then, -user
interference and X channels are considered with output feedback,
wherein the channel output of each receiver is causally fed back to its
corresponding transmitter. Our achievable results with output feedback
demonstrate strict DoF improvements over those with the full-duplex delayed
CSIT when in the -user interference channel and in the X channel. Next, the combination of delayed CSIT and output feedback, known
as Shannon feedback, is studied and strictly higher DoFs compared to the output
feedback model are achieved in the -user interference channel when K=5 or
, and in the X channel when . Although being strictly
greater than 1 and increasing with size of the networks, the achievable DoFs in
all the models studied in this paper approach limiting values not greater than
2.Comment: 53 pages, 15 figures; Submitted to IEEE Transactions on Information
Theory, May 2012. To be presented in part in ISIT 2012, Cambridge, MA, US
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