The Experts below are selected from a list of 29970 Experts worldwide ranked by ideXlab platform
Vincent H Poor - One of the best experts on this subject based on the ideXlab platform.
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capacity region of Vector gaussian interference channels with generally strong interference
IEEE Transactions on Information Theory, 2012Co-Authors: Xiaohu Shang, Vincent H PoorAbstract:An interference channel is said to have strong interference if a certain pair of mutual information inequalities are satisfied for all input distributions. These inequalities assure that the capacity of the interference channel with strong interference is achieved by jointly decoding the signal and the interference. This definition of strong interference applies to discrete memoryless, scalar and Vector Gaussian interference channels. However, there Exist Vector Gaussian interference channels that may not satisfy the strong interference condition but for which the capacity can still be achieved by jointly decoding the signal and the interference. This kind of interference is called generally strong interference. Sufficient conditions for a Vector Gaussian interference channel to have generally strong interference are derived. The sum-rate capacity and the boundary points of the capacity region are also determined.
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capacity region of Vector gaussian interference channels with generally strong interference
arXiv: Information Theory, 2011Co-Authors: Xiaohu Shang, Vincent H PoorAbstract:An interference channel is said to have strong interference if for all input distributions, the receivers can fully decode the interference. This definition of strong interference applies to discrete memoryless, scalar and Vector Gaussian interference channels. However, there Exist Vector Gaussian interference channels that may not satisfy the strong interference condition but for which the capacity can still be achieved by jointly decoding the signal and the interference. This kind of interference is called generally strong interference. Sufficient conditions for a Vector Gaussian interference channel to have generally strong interference are derived. The sum-rate capacity and the boundary points of the capacity region are also determined.
Xiaohu Shang - One of the best experts on this subject based on the ideXlab platform.
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capacity region of Vector gaussian interference channels with generally strong interference
IEEE Transactions on Information Theory, 2012Co-Authors: Xiaohu Shang, Vincent H PoorAbstract:An interference channel is said to have strong interference if a certain pair of mutual information inequalities are satisfied for all input distributions. These inequalities assure that the capacity of the interference channel with strong interference is achieved by jointly decoding the signal and the interference. This definition of strong interference applies to discrete memoryless, scalar and Vector Gaussian interference channels. However, there Exist Vector Gaussian interference channels that may not satisfy the strong interference condition but for which the capacity can still be achieved by jointly decoding the signal and the interference. This kind of interference is called generally strong interference. Sufficient conditions for a Vector Gaussian interference channel to have generally strong interference are derived. The sum-rate capacity and the boundary points of the capacity region are also determined.
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capacity region of Vector gaussian interference channels with generally strong interference
arXiv: Information Theory, 2011Co-Authors: Xiaohu Shang, Vincent H PoorAbstract:An interference channel is said to have strong interference if for all input distributions, the receivers can fully decode the interference. This definition of strong interference applies to discrete memoryless, scalar and Vector Gaussian interference channels. However, there Exist Vector Gaussian interference channels that may not satisfy the strong interference condition but for which the capacity can still be achieved by jointly decoding the signal and the interference. This kind of interference is called generally strong interference. Sufficient conditions for a Vector Gaussian interference channel to have generally strong interference are derived. The sum-rate capacity and the boundary points of the capacity region are also determined.
Chen Xingwu - One of the best experts on this subject based on the ideXlab platform.
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Dynamics of planar Vector fields near a non-smooth equilibrium
2020Co-Authors: Li Tao, Chen XingwuAbstract:In this paper we contribute to qualitative and geometric analysis of planar piecewise smooth Vector fields, which consist of two smooth Vector fields separated by the straight line $y=0$ and sharing the origin as a non-degenerate equilibrium. In the sense of $\Sigma$-equivalence, we provide a sufficient condition for linearization and give phase portraits and normal forms for these linearizable Vector fields. This condition is hard to be weakened because there Exist Vector fields which are not linearizable when this condition is not satisfied. Regarding perturbations, a necessary and sufficient condition for local $\Sigma$-structural stability is established when the origin is still an equilibrium of both smooth Vector fields under perturbations. In the opposition to this case, we prove that for any piecewise smooth Vector field studied in this paper there is a limit cycle bifurcating from the origin, and there are some piecewise smooth Vector fields such that for any positive integer $m$ there is a perturbation having exactly $m$ limit cycles bifurcating from the origin. Here $m$ maybe infinity.Comment: 27 pages and 31 figure
Li Tao - One of the best experts on this subject based on the ideXlab platform.
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Dynamics of planar Vector fields near a non-smooth equilibrium
2020Co-Authors: Li Tao, Chen XingwuAbstract:In this paper we contribute to qualitative and geometric analysis of planar piecewise smooth Vector fields, which consist of two smooth Vector fields separated by the straight line $y=0$ and sharing the origin as a non-degenerate equilibrium. In the sense of $\Sigma$-equivalence, we provide a sufficient condition for linearization and give phase portraits and normal forms for these linearizable Vector fields. This condition is hard to be weakened because there Exist Vector fields which are not linearizable when this condition is not satisfied. Regarding perturbations, a necessary and sufficient condition for local $\Sigma$-structural stability is established when the origin is still an equilibrium of both smooth Vector fields under perturbations. In the opposition to this case, we prove that for any piecewise smooth Vector field studied in this paper there is a limit cycle bifurcating from the origin, and there are some piecewise smooth Vector fields such that for any positive integer $m$ there is a perturbation having exactly $m$ limit cycles bifurcating from the origin. Here $m$ maybe infinity.Comment: 27 pages and 31 figure
Yuxin Liu - One of the best experts on this subject based on the ideXlab platform.
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properties of mesons in a strong magnetic field
arXiv: High Energy Physics - Phenomenology, 2016Co-Authors: Rui Zhang, Yuxin LiuAbstract:By extending the $\Phi$-derivable approach in Nambu-Jona-Lasinio model to finite magnetic field we calculate the properties of pion, $\sigma$ and $\rho$ mesons in a magnetic field at finite temperature in not only the quark-antiquark bound state scheme but also the pion-pion scattering resonant state scenario. Our calculation results manifest that the masses of $\pi^{0}$ and $\sigma$ meson can be nearly degenerate at the pseudo-critical temperature which increases with increasing the magnetic field strength, and the $\pi^{\pm}$ mass ascends suddenly at almost the same critical temperature. While the $\rho$ mesons' masses decrease with the temperature but increase with the magnetic field strength. We also check the Gell-Mann-Oakes-Renner relation and find that the relation can be violated obviously with increasing the temperature, and the effect of the magnetic field becomes pronounced around the critical temperature. With different criteria, we analyze the effect of the magnetic field on the chiral phase transition and find that the pseudo-critical temperature of the chiral phase cross, $T_{c}^{\chi}$, is always enhanced by the magnetic field. Moreover our calculations indicate that the $\rho$ mesons will get melted as the chiral symmetry has not yet been restored, but the $\sigma$ meson does not disassociate even at very high temperature. Particularly, it is the first to show that there does not Exist Vector meson condensate in the QCD vacuum in the pion-pion scattering scheme.