15,787 research outputs found
Capacity Theorems for the AWGN Multi-Way Relay Channel
The L-user additive white Gaussian noise multi-way relay channel is
considered, where multiple users exchange information through a single relay at
a common rate. Existing coding strategies, i.e., complete-decode-forward and
compress-forward are shown to be bounded away from the cut-set upper bound at
high signal-to-noise ratios (SNR). It is known that the gap between the
compress-forward rate and the capacity upper bound is a constant at high SNR,
and that between the complete-decode-forward rate and the upper bound increases
with SNR at high SNR. In this paper, a functional-decode-forward coding
strategy is proposed. It is shown that for L >= 3, complete-decode-forward
achieves the capacity when SNR <= 0 dB, and functional-decode-forward achieves
the capacity when SNR >= 0 dB. For L=$, functional-decode-forward achieves the
capacity asymptotically as SNR increases.Comment: accepted and to be presented at ISIT 201
Functional-Decode-Forward for the General Discrete Memoryless Two-Way Relay Channel
We consider the general discrete memoryless two-way relay channel, where two
users exchange messages via a relay, and propose two functional-decode-forward
coding strategies for this channel. Functional-decode-forward involves the
relay decoding a function of the users' messages rather than the individual
messages themselves. This function is then broadcast back to the users, which
can be used in conjunction with the user's own message to decode the other
user's message. Via a numerical example, we show that functional-decode-forward
with linear codes is capable of achieving strictly larger sum rates than those
achievable by other strategies
The Binary-Symmetric Parallel-Relay Network
We present capacity results of the binary-symmetric parallel-relay network,
where there is one source, one destination, and K relays in parallel. We show
that forwarding relays, where the relays merely transmit their received
signals, achieve the capacity in two ways: with coded transmission at the
source and a finite number of relays, or uncoded transmission at the source and
a sufficiently large number of relays. On the other hand, decoding relays,
where the relays decode the source message, re-encode, and forward it to the
destination, achieve the capacity when the number of relays is small.Comment: accepted and to be presented at ISIT 201
Optimal Coding Functions for Pairwise Message Sharing on Finite-Field Multi-Way Relay Channels
This paper considers the finite-field multi-way relay channel with pairwise
message sharing, where multiple users exchange messages through a single relay
and where the users may share parts of their source messages (meaning that some
message parts are known/common to more than one user). In this paper, we design
an optimal functional-decode-forward coding scheme that takes the shared
messages into account. More specifically, we design an optimal function for the
relay to decode (from the users on the uplink) and forward (back to the users
on the downlink). We then show that this proposed function-decode-forward
coding scheme can achieve the capacity region of the finite-field multi-way
relay channel with pairwise message sharing. This paper generalizes our
previous result for the case of three users to any number of users.Comment: Author's final version (accepted for presentation at the 2014 IEEE
International Conference on Communications [ICC 2014]
On Achievable Rate Regions of the Asymmetric AWGN Two-Way Relay Channel
This paper investigates the additive white Gaussian noise two-way relay
channel, where two users exchange messages through a relay. Asymmetrical
channels are considered where the users can transmit data at different rates
and at different power levels. We modify and improve existing coding schemes to
obtain three new achievable rate regions. Comparing four downlink-optimal
coding schemes, we show that the scheme that gives the best sum-rate
performance is (i) complete-decode-forward, when both users transmit at low
signal-to-noise ratio (SNR); (ii) functional-decode-forward with nested lattice
codes, when both users transmit at high SNR; (iii) functional-decode-forward
with rate splitting and time-division multiplexing, when one user transmits at
low SNR and another user at medium--high SNR.Comment: to be presented at ISIT 201
Stability of Horava-Lifshitz Black Holes in the Context of AdS/CFT
The anti--de Sitter/conformal field theory (AdS/CFT) correspondence is a
powerful tool that promises to provide new insights toward a full understanding
of field theories under extreme conditions, including but not limited to
quark-gluon plasma, Fermi liquid and superconductor. In many such applications,
one typically models the field theory with asymptotically AdS black holes.
These black holes are subjected to stringy effects that might render them
unstable. Ho\v{r}ava-Lifshitz gravity, in which space and time undergo
different transformations, has attracted attentions due to its power-counting
renormalizability. In terms of AdS/CFT correspondence, Ho\v{r}ava-Lifshitz
black holes might be useful to model holographic superconductors with Lifshitz
scaling symmetry. It is thus interesting to study the stringy stability of
Ho\v{r}ava-Lifshitz black holes in the context of AdS/CFT. We find that
uncharged topological black holes in Ho\v{r}ava-Lifshitz theory are
nonperturbatively stable, unlike their counterparts in Einstein gravity, with
the possible exceptions of negatively curved black holes with detailed balance
parameter close to unity. Sufficiently charged flat black holes for
close to unity, and sufficiently charged positively curved black
holes with close to zero, are also unstable. The implication to the
Ho\v{r}ava-Lifshitz holographic superconductor is discussed.Comment: 15 pages, 6 figures. Updated version accepted by Phys. Rev. D, with
corrections to various misprints. References update
The Three-User Finite-Field Multi-Way Relay Channel with Correlated Sources
This paper studies the three-user finite-field multi-way relay channel, where
the users exchange messages via a relay. The messages are arbitrarily
correlated, and the finite-field channel is linear and is subject to additive
noise of arbitrary distribution. The problem is to determine the minimum
achievable source-channel rate, defined as channel uses per source symbol
needed for reliable communication. We combine Slepian-Wolf source coding and
functional-decode-forward channel coding to obtain the solution for two classes
of source and channel combinations. Furthermore, for correlated sources that
have their common information equal their mutual information, we propose a new
coding scheme to achieve the minimum source-channel rate.Comment: Author's final version (accepted and to appear in IEEE Transactions
on Communications
Red Giant Rotational Inversion Kernels Need Nonlinear Surface Corrections
Asteroseismology is our only means of measuring stellar rotation in their
interiors, rather than at their surfaces. Some techniques for measurements of
this kind -- "rotational inversions" -- require the shapes of linear response
kernels computed from reference stellar models to be representative of those in
the stars they are intended to match. This is not the case in evolved stars
exhibiting gravitoacoustic mixed modes: we show that the action of the
asteroseismic surface term -- systematic errors in the modelling of
near-surface layers -- changes the shapes of their inversion kernels.
Corrections for the surface term are not ordinarily considered necessary for
rotational inversions. We show how this may have caused previous estimates of
red-giant envelope rotation rates from mixed-mode asteroseismic inversions to
have been unintentionally contaminated by core rotation as a result, with
errors comparable to the entire reported estimates. We derive a mitigation
procedure for this hitherto unaccounted systematic error, and demonstrate its
viability and effectiveness. We recommend this mitigation be applied when
revising existing rotational inversions. Finally, we discuss both the prospects
for applying such mitigation to the harder problem of inversions for stellar
structure (rather than rotation), as well as the broader implications of this
systematic error with regards to the longstanding problem of internal angular
momentum transport.Comment: 9 pages, 3 figures; accepted to Ap
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