115 research outputs found
Noisy Channel-Output Feedback Capacity of the Linear Deterministic Interference Channel
In this paper, the capacity region of the two-user linear deterministic (LD)
interference channel with noisy output feedback (IC-NOF) is fully
characterized. This result allows the identification of several asymmetric
scenarios in which imple- menting channel-output feedback in only one of the
transmitter- receiver pairs is as beneficial as implementing it in both links,
in terms of achievable individual rate and sum-rate improvements w.r.t. the
case without feedback. In other scenarios, the use of channel-output feedback
in any of the transmitter-receiver pairs benefits only one of the two pairs in
terms of achievable individual rate improvements or simply, it turns out to be
useless, i.e., the capacity regions with and without feedback turn out to be
identical even in the full absence of noise in the feedback links.Comment: 5 pages, 9 figures, see proofs in V. Quintero, S. M. Perlaza, and
J.-M. Gorce, "Noisy channel-output feedback capacity of the linear
deterministic interference channel," INRIA, Tech. Rep. 456, Jan. 2015. This
was submitted and accepted in IEEE ITW 201
Nash Region of the Linear Deterministic Interference Channel with Noisy Output Feedback
In this paper, the -Nash equilibrium (-NE) region of the two-user
linear deterministic interference channel (IC) with noisy channel-output
feedback is characterized for all . The -NE region, a subset of
the capacity region, contains the set of all achievable information rate pairs
that are stable in the sense of an -NE. More specifically, given an
-NE coding scheme, there does not exist an alternative coding scheme for
either transmitter-receiver pair that increases the individual rate by more
than bits per channel use. Existing results such as the -NE region
of the linear deterministic IC without feedback and with perfect output
feedback are obtained as particular cases of the result presented in this
paper.Comment: 5 pages, 2 figures, to appear in ISIT 201
Capacité du canal linéaire déterministe à interférences avec voies de retour bruitées
International audienceIn this article, the capacity region of the two-user linear deterministic (LD) interference channel with noisy output feedback (IC-NOF) is fully characterized. This result allows the identification of several asymmetric scenarios in which implementing channel-output feedback in only one of the transmitter-receiver pairs is as beneficial as implementing it in both links, in terms of achievable individual rate and sum-rate improvements w.r.t. the case without feedback. In other scenarios, the use of channel-output feedback in any of the transmitter-receiver pairs benefits only one of the two pairs in terms of achievable individual rate improvements or simply, it turns out to be useless, i.e., the capacity regions with and without feedback turn out to be identical even in the full absence of noise in the feedback links.Cet article présente la caractérisation de la région de capacité du canal linéaire déterministè a interférences avec voies de retour degradées entre chaque pairé emetteur-récepteur. L'apport de ce travail porte sur l'ajout de voies de retour bruitées et sur l'´ etude de scénarios asymétriques. Nous etudions quelques scénarios types et montrons que dans certains cas, l'utilisation d'une seule des voies de retour permet d'obtenir le même gain qu'avec les deux voies. Ce gain par rapport au canal sans voie de retour est mis en evidence par l' amélioration des taux de transmission individuels et de leur somme. D'autres scénarios montrent qu'une seule voie de retour améliore le taux individuel d'un des deux couples emetteur-récepteur seulement. Il existe enfin d'autres scenarios pour lesquels les voies de retour n'apportent aucun gain ni pour les taux individuels ni pour leur somme. Dans ces scenarios, cela montre que les régions de capacité avec et sans voie de retour sont identiques
When Does Channel-Output Feedback Enlarge the Capacity Region of the Two-User Linear Deterministic Interference Channel?
International audienceThe two-user linear deterministic interference channel (LD-IC) with noisy channel-output feedback is fully described by six parameters that correspond to the number of bit-pipes between each transmitter and its corresponding intended receiver, i.e., and ; between each transmitter and its corresponding non-intended receiver i.e., and ; and between each receiver and its corresponding transmitter, i.e., and . An LD-IC without feedback corresponds to the case in which and the capacity region is denoted by . In the case in which feedback is available at both transmitters, and , the capacity is denoted by .This paper presents the exact conditions on (resp. ) for observing an improvement in the capacity region (resp. ) with respect to , for any -tuple , , , .Specifically, it is shown that there exists a threshold for the number of bit-pipes in the feedback link of transmitter-receiver pair (resp. ), denoted by (resp. ) for which any (resp. ) enlarges the capacity region, i.e., (resp. ).The exact conditions on (resp. ) to observe an improvement on a single rate or the sum-rate capacity, for any -tuple are also presented in this paper
Quand est-ce que la rétro-alimentation améliore la region de capacité du canal à interférences?
In this research report, the benefits of channel-output feedback in the Gaussian interference channel (G-IC) are studied under the effect of additive Gaussian noise. Using a linear deterministic (LD) model, the signal to noise ratios (SNRs) in the feedback links beyond which feedback plays a significant role in terms of increasing the individual rates or the sum-rate are approximated. The relevance of this work lies on the fact that it identifies the feedback SNRs for which in any G-IC one of the following statements is true:(a) Feedback does not enlarge the capacity region;(b) Feedback enlarges the capacity region and the sum-rate is higher than the largest sum-rate without feedback; and (c) Feedback enlarges the capacity region but no significant improvement is observed in the sum-rate.Dans ce rapport, l’impact du bruit additif sur les liens de rétro-alimentation dans le canal Gaussien à interférences est étudié en utilisant des approximations linéaires déterministes. Sous ces hypothèses, la valeur exacte du rapport signal à bruit (RSB) sur le lien de rétro- alimentation, au-delà de laquelle l’approximation linéaire déterministe de la région de capacité est améliorée, est caractérisée en fonction des RSB et des rapports interférences sur bruit (RIB). En général, trois scénarios peuvent être observés selon les valeurs exactes des RSB sur les liens directs et des RIBs: (a) L’utilisation de la rétro-alimentation est inutile pour améliorer la région de capacité; (b) L’utilisation de la rétro-alimentation améliore la région de capacité et la somme des taux de transmission; et (c) L’utilisation de la rétro-alimentation améliore la région de capacité mais la somme des taux de transmission n’est pas ameliorée
Approximate Nash Region of the Gaussian Interference Channel with Noisy Output Feedback
International audienceIn this paper, an achievable -Nash equilibrium (-NE) region for the two-user Gaussian interference channel with noisy channel-output feedback is presented for all . This result is obtained in the scenario in which each transmitter-receiver pair chooses its own transmit-receive configuration in order to maximize its own individual information transmission rate. At an -NE, any unilateral deviation by either of the pairs does not increase the corresponding individual rate by more than bits per channel use
Preliminary Calculation of from Green Functions with Dynamical Quarks
We present preliminary results on the computation of the QCD running coupling
constant in the scheme and Landau gauge with two flavours of
dynamical Wilson quarks. Gluon momenta range up to about 7 GeV ( 5.6,
5.8 and 6.0) with a constant dynamical-quark mass. This range already allows to
exhibit some evidence for a sizable correction to the asymptotic
behaviour, as in the quenched approximation, although a fit without power
corrections is still possible with a reasonable . Following the
conclusions of our quenched study, we take into account correction to
the asymptotic behaviour. We find , which leads to
. The latter result has to be taken as a
preliminary indication rather than a real prediction in view of the systematic
errors still to be controlled. Still, being two sigmas below the experimental
result makes it very encouraging.Comment: 14 pages, 3 figs., 2 tabs., revte
The strong coupling constant at small momentum as an instanton detector
We present a study of at small p computed from the lattice.
It shows a dramatic law which can be understood within an
instanton liquid model. In this framework the prefactor gives a direct measure
of the instanton density in thermalised configurations. A preliminary result
for this density is 5.27(4) fm^{-4}.Comment: 12 pages, 4 figure
Genomic, Pathway Network, and Immunologic Features Distinguishing Squamous Carcinomas
This integrated, multiplatform PanCancer Atlas study co-mapped and identified distinguishing
molecular features of squamous cell carcinomas (SCCs) from five sites associated with smokin
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