8 research outputs found
On the capacity of memoryless finite-state multiple-access channels with asymmetric state information at the encoders
A single-letter characterization is provided for the capacity region of
finite-state multiple-access channels, when the channel state process is an
independent and identically distributed sequence, the transmitters have access
to partial (quantized) state information, and complete channel state
information is available at the receiver. The partial channel state information
is assumed to be asymmetric at the encoders. As a main contribution, a tight
converse coding theorem is presented. The difficulties associated with the case
when the channel state has memory are discussed and connections to
decentralized stochastic control theory are presented.Comment: 8 pages, 1 figure, accepted for publication, in pres
Degrees of Freedom of Certain Interference Alignment Schemes with Distributed CSIT
In this work, we consider the use of interference alignment (IA) in a MIMO
interference channel (IC) under the assumption that each transmitter (TX) has
access to channel state information (CSI) that generally differs from that
available to other TXs. This setting is referred to as distributed CSIT. In a
setting where CSI accuracy is controlled by a set of power exponents, we show
that in the static 3-user MIMO square IC, the number of degrees-of-freedom
(DoF) that can be achieved with distributed CSIT is at least equal to the DoF
achieved with the worst accuracy taken across the TXs and across the
interfering links. We conjecture further that this represents exactly the DoF
achieved. This result is in strong contrast with the centralized CSIT
configuration usually studied (where all the TXs share the same, possibly
imperfect, channel estimate) for which it was shown that the DoF achieved at
receiver (RX) i is solely limited by the quality of its own feedback. This
shows the critical impact of CSI discrepancies between the TXs, and highlights
the price paid by distributed precoding.Comment: This is an extended version of a conference submission which will be
presented at the IEEE conference SPAWC, Darmstadt, June 201
On the Multiple Access Channel with Asymmetric Noisy State Information at the Encoders
We consider the problem of reliable communication over multiple-access
channels (MAC) where the channel is driven by an independent and identically
distributed state process and the encoders and the decoder are provided with
various degrees of asymmetric noisy channel state information (CSI). For the
case where the encoders observe causal, asymmetric noisy CSI and the decoder
observes complete CSI, we provide inner and outer bounds to the capacity
region, which are tight for the sum-rate capacity. We then observe that, under
a Markov assumption, similar capacity results also hold in the case where the
receiver observes noisy CSI. Furthermore, we provide a single letter
characterization for the capacity region when the CSI at the encoders are
asymmetric deterministic functions of the CSI at the decoder and the encoders
have non-causal noisy CSI (its causal version is recently solved in
\cite{como-yuksel}). When the encoders observe asymmetric noisy CSI with
asymmetric delays and the decoder observes complete CSI, we provide a single
letter characterization for the capacity region. Finally, we consider a
cooperative scenario with common and private messages, with asymmetric noisy
CSI at the encoders and complete CSI at the decoder. We provide a single letter
expression for the capacity region for such channels. For the cooperative
scenario, we also note that as soon as the common message encoder does not have
access to CSI, then in any noisy setup, covering the cases where no CSI or
noisy CSI at the decoder, it is possible to obtain a single letter
characterization for the capacity region. The main component in these results
is a generalization of a converse coding approach, recently introduced in [1]
for the MAC with asymmetric quantized CSI at the encoders and herein
considerably extended and adapted for the noisy CSI setup.Comment: Submitted to the IEEE Transactions on Information Theor
On the Capacity of Memoryless Finite-State Multiple-Access Channels With Asymmetric State Information at the Encoders
A single-letter characterization is provided for the capacity region of
finite-state multiple-access channels, when the channel state process is an
independent and identically distributed sequence, the transmitters have access
to partial (quantized) state information, and complete channel state
information is available at the receiver. The partial channel state information
is assumed to be asymmetric at the encoders. As a main contribution, a tight
converse coding theorem is presented. The difficulties associated with the case
when the channel state has memory are discussed and connections to
decentralized stochastic control theory are presented.Comment: 8 pages, 1 figure, accepted for publication, in pres