250 research outputs found
Dependence Balance Based Outer Bounds for Gaussian Networks with Cooperation and Feedback
We obtain new outer bounds on the capacity regions of the two-user multiple
access channel with generalized feedback (MAC-GF) and the two-user interference
channel with generalized feedback (IC-GF). These outer bounds are based on the
idea of dependence balance which was proposed by Hekstra and Willems [1]. To
illustrate the usefulness of our outer bounds, we investigate three different
channel models. We first consider a Gaussian MAC with noisy feedback (MAC-NF),
where transmitter , , receives a feedback , which is the
channel output corrupted with additive white Gaussian noise . As the
feedback noise variances become large, one would expect the feedback to become
useless, which is not reflected by the cut-set bound. We demonstrate that our
outer bound improves upon the cut-set bound for all non-zero values of the
feedback noise variances. Moreover, in the limit as , , our outer bound collapses to the capacity region of the
Gaussian MAC without feedback. Secondly, we investigate a Gaussian MAC with
user-cooperation (MAC-UC), where each transmitter receives an additive white
Gaussian noise corrupted version of the channel input of the other transmitter
[2]. For this channel model, the cut-set bound is sensitive to the cooperation
noises, but not sensitive enough. For all non-zero values of cooperation noise
variances, our outer bound strictly improves upon the cut-set outer bound.
Thirdly, we investigate a Gaussian IC with user-cooperation (IC-UC). For this
channel model, the cut-set bound is again sensitive to cooperation noise
variances but not sensitive enough. We demonstrate that our outer bound
strictly improves upon the cut-set bound for all non-zero values of cooperation
noise variances.Comment: Submitted to IEEE Transactions on Information Theor
On the Degrees-of-freedom of the 3-user MISO Broadcast Channel with Hybrid CSIT
The 3-user multiple-input single-output (MISO) broadcast channel (BC) with
hybrid channel state information at the transmitter (CSIT) is considered. In
this framework, there is perfect and instantaneous CSIT from a subset of users
and delayed CSIT from the remaining users. We present new results on the
degrees of freedom (DoF) of the 3-user MISO BC with hybrid CSIT. In particular,
for the case of 2 transmit antennas, we show that with perfect CSIT from one
user and delayed CSIT from the remaining two users, the optimal DoF is 5/3. For
the case of 3 transmit antennas and the same hybrid CSIT setting, it is shown
that a higher DoF of 9/5 is achievable and this result improves upon the best
known bound. Furthermore, with 3 transmit antennas, and the hybrid CSIT setting
in which there is perfect CSIT from two users and delayed CSIT from the third
one, a novel scheme is presented which achieves 9/4 DoF. Our results also
reveal new insights on how to utilize hybrid channel knowledge for multi-user
scenarios
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