Rate Capacity

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Gerhard Kramer - One of the best experts on this subject based on the ideXlab platform.

  • sum Rate Capacity for symmetric gaussian multiple access channels with feedback
    IEEE Transactions on Information Theory, 2020
    Co-Authors: Erixhen Sula, Michael Gastpar, Gerhard Kramer
    Abstract:

    The feedback sum-Rate Capacity is established for the symmetric $J$ -user Gaussian multiple-access channel (GMAC). The main contribution is a converse bound that combines the dependence-balance argument of Hekstra and Willems (1989) with a variant of the factorization of a convex envelope of Geng and Nair (2014). The converse bound matches the achievable sum-Rate of the Fourier-Modulated Estimate Correction stRategy of Kramer (2002).

  • sum Rate Capacity for symmetric gaussian multiple access channels with feedback
    International Symposium on Information Theory, 2018
    Co-Authors: Erixhen Sula, Michael Gastpar, Gerhard Kramer
    Abstract:

    The feedback sum-Rate Capacity is established for the symmetric three-user Gaussian multiple-access channel (GMAC). The main contribution is a converse bound that combines the dependence-balance argument of Hekstra and Willems (1989) with a variant of the “doubling trick” of Geng and Nair (2014). The converse bound matches the achievable sum-Rate of the Fourier-Modulated Estimate Correction stRategy of Kramer (2002). The proof arguments extend to GMACs with more than three users.

  • ISIT - Sum-Rate Capacity for Symmetric Gaussian Multiple Access Channels with Feedback
    2018 IEEE International Symposium on Information Theory (ISIT), 2018
    Co-Authors: Erixhen Sula, Michael Gastpar, Gerhard Kramer
    Abstract:

    The feedback sum-Rate Capacity is established for the symmetric three-user Gaussian multiple-access channel (GMAC). The main contribution is a converse bound that combines the dependence-balance argument of Hekstra and Willems (1989) with a variant of the “doubling trick” of Geng and Nair (2014). The converse bound matches the achievable sum-Rate of the Fourier-Modulated Estimate Correction stRategy of Kramer (2002). The proof arguments extend to GMACs with more than three users.

  • noisy interference sum Rate Capacity of parallel gaussian interference channels
    IEEE Transactions on Information Theory, 2011
    Co-Authors: Xiaohu Shang, Biao Chen, Gerhard Kramer, H V Poor
    Abstract:

    The sum-Rate Capacity of the parallel Gaussian interference channel is shown to be achieved by independent transmission across subchannels and treating interference as noise if the channel coefficients and power constraints satisfy a certain condition. The condition requires the interference to be weak, a situation commonly encountered, e.g., in digital subscriber line transmission. The optimal power allocation is characterized by using the concavity of the sum-Rate Capacity as a function of the power constraints.

  • noisy interference sum Rate Capacity of parallel gaussian interference channels
    International Symposium on Information Theory, 2009
    Co-Authors: Xiaohu Shang, Biao Chen, Gerhard Kramer, Vincent H Poor
    Abstract:

    The sum-Rate Capacity of the parallel Gaussian interference channel is studied. Sufficient conditions are derived in terms of channel coefficients and power constraints such that the sum-Rate Capacity can be achieved by: 1) independent transmission across sub-channels, and 2) treating interference as noise in each sub-channel. The optimal power allocation is characterized for such parallel channels.

Xiaohu Shang - One of the best experts on this subject based on the ideXlab platform.

Biao Chen - One of the best experts on this subject based on the ideXlab platform.

Yingbin Liang - One of the best experts on this subject based on the ideXlab platform.

  • on the sum Rate Capacity of poisson miso multiple access channels
    IEEE Transactions on Information Theory, 2017
    Co-Authors: Yingbin Liang, Shlomo Shamai Shitz
    Abstract:

    In this paper, we analyze the sum-Rate Capacity of two-user Poisson multiple access channels (MAC), when the receiver is equipped with single antenna. We first characterize the sum-Rate Capacity of the non-symmetric Poisson MAC when each transmitter has a single antenna. While the sum-Rate Capacity of the symmetric Poisson MAC with single antenna at each transmitter has been characterized in the literature, the special property exploited in the existing method for the symmetric case does not hold for the non-symmetric channel anymore. We obtain the optimal input that achieves the sum-Rate Capacity by solving a non-convex optimization problem. We show that, for certain channel parameters, it is optimal for a single user to transmit to achieve the sum-Rate Capacity. This is in sharp contrast to the Gaussian MAC, in which both users must transmit, either simultaneously or at different times, in order to achieve the sum-Rate Capacity. We then characterize the sum-Rate Capacity of the Poisson multiple-input single-output (MISO) MAC with multiple antennas at each transmitter and single antenna at the receiver. By converting a non-convex optimization problem with a large number of variables into a non-convex optimization problem with two variables, we show that the sum-Rate Capacity of the Poisson MISO MAC with multiple transmit antennas is equivalent to a properly constructed Poisson MAC with a single antenna at each transmitter.

  • Sum-Rate Capacity of Poisson MIMO Multiple-Access Channels
    IEEE Transactions on Communications, 2017
    Co-Authors: Ain-ul Aisha, Lifeng Lai, Yingbin Liang, Shlomo Shamai Shitz
    Abstract:

    In this paper, we analyze the sum-Rate Capacity of two-user Poisson multiple input multiple output multiple-access channels (MACs), when both the transmitters and the receiver are equipped with multiple antennas. Although the sum-Rate Capacity of Poisson MISO MAC when the receiver is equipped with a single antenna has been characterized by us, the inclusion of multiple antennas at the receiver makes the problem more challenging and requires the development of new analytical tools. We first characterize the sum-Rate Capacity of the Poisson MAC when each transmitter has a single antenna and the receiver has multiple antennas. We obtain the optimal input that achieves the sum-Rate Capacity by solving a non-convex optimization problem. We show that, for certain channel parameters, it is optimal for a single user to transmit to achieve the sum-Rate Capacity, and for certain channel parameters, it is optimal for both users to transmit. We then characterize the sum-Rate Capacity of the channel where both the transmitters and the receiver are equipped with multiple antennas. We show that the sum-Rate Capacity of the Poisson MAC with multiple transmit antennas is equivalent to a properly constructed Poisson MAC with a single antenna at each transmitter, and has thus been characterized by the former case. We show this by developing a novel channel transformation argument.

  • on the sum Rate Capacity of non symmetric poisson multiple access channel
    International Symposium on Information Theory, 2016
    Co-Authors: Ain-ul Aisha, Yingbin Liang, Shlomo Shamai
    Abstract:

    In this paper, we characterize the sum-Rate Capacity of the non-symmetric Poisson multiple access channel (MAC). While the sum-Rate Capacity of the symmetric Poisson MAC has been characterized in the literature, the special property exploited in the existing method for the symmetric case does not hold for the non-symmetric channel anymore. We obtain the optimal input that achieves the sum-Rate Capacity by solving a non-convex optimization problem. We show that, for certain channel parameters, it is optimal for a single user to transmit to achieve the sum-Rate Capacity. This is in sharp contrast to the Gaussian MAC, in which all users must transmit, either simultaneously or at different times, in order to achieve the sum-Rate Capacity.

  • ICCS - On the sum-Rate Capacity of poisson MISO multiple access channels
    2016 IEEE International Conference on Communication Systems (ICCS), 2016
    Co-Authors: Ain-ul-aisha, Yingbin Liang, Lifeng Lai, Shlomo Shamai Shitz
    Abstract:

    In this paper, we analyze the sum-Rate Capacity of Poisson multiple access channels (MAC) when each transmitter has multiple antennas. By converting a non-convex optimization problem with a large number of variables into a non-convex optimization problem with 2 variables, we show that the sum-Rate Capacity of the Poisson MAC with multiple transmit antennas is equivalent to a properly constructed Poisson MAC with single antenna at each transmitter. Therefore, characterizing the sum-Rate Capacity of the Poisson MAC with multiple transmit antennas is equivalent to characterizing the sum-Rate Capacity of a Poisson MAC with single antenna.

  • ISIT - On the sum-Rate Capacity of non-symmetric Poisson multiple access channel
    2016 IEEE International Symposium on Information Theory (ISIT), 2016
    Co-Authors: Ain-ul Aisha, Lifeng Lai, Yingbin Liang, Shlomo Shamai
    Abstract:

    In this paper, we characterize the sum-Rate Capacity of the non-symmetric Poisson multiple access channel (MAC). While the sum-Rate Capacity of the symmetric Poisson MAC has been characterized in the literature, the special property exploited in the existing method for the symmetric case does not hold for the non-symmetric channel anymore. We obtain the optimal input that achieves the sum-Rate Capacity by solving a non-convex optimization problem. We show that, for certain channel parameters, it is optimal for a single user to transmit to achieve the sum-Rate Capacity. This is in sharp contrast to the Gaussian MAC, in which all users must transmit, either simultaneously or at different times, in order to achieve the sum-Rate Capacity.

Ain-ul Aisha - One of the best experts on this subject based on the ideXlab platform.

  • Sum-Rate Capacity of Poisson MIMO Multiple-Access Channels
    IEEE Transactions on Communications, 2017
    Co-Authors: Ain-ul Aisha, Lifeng Lai, Yingbin Liang, Shlomo Shamai Shitz
    Abstract:

    In this paper, we analyze the sum-Rate Capacity of two-user Poisson multiple input multiple output multiple-access channels (MACs), when both the transmitters and the receiver are equipped with multiple antennas. Although the sum-Rate Capacity of Poisson MISO MAC when the receiver is equipped with a single antenna has been characterized by us, the inclusion of multiple antennas at the receiver makes the problem more challenging and requires the development of new analytical tools. We first characterize the sum-Rate Capacity of the Poisson MAC when each transmitter has a single antenna and the receiver has multiple antennas. We obtain the optimal input that achieves the sum-Rate Capacity by solving a non-convex optimization problem. We show that, for certain channel parameters, it is optimal for a single user to transmit to achieve the sum-Rate Capacity, and for certain channel parameters, it is optimal for both users to transmit. We then characterize the sum-Rate Capacity of the channel where both the transmitters and the receiver are equipped with multiple antennas. We show that the sum-Rate Capacity of the Poisson MAC with multiple transmit antennas is equivalent to a properly constructed Poisson MAC with a single antenna at each transmitter, and has thus been characterized by the former case. We show this by developing a novel channel transformation argument.

  • on the sum Rate Capacity of non symmetric poisson multiple access channel
    International Symposium on Information Theory, 2016
    Co-Authors: Ain-ul Aisha, Yingbin Liang, Shlomo Shamai
    Abstract:

    In this paper, we characterize the sum-Rate Capacity of the non-symmetric Poisson multiple access channel (MAC). While the sum-Rate Capacity of the symmetric Poisson MAC has been characterized in the literature, the special property exploited in the existing method for the symmetric case does not hold for the non-symmetric channel anymore. We obtain the optimal input that achieves the sum-Rate Capacity by solving a non-convex optimization problem. We show that, for certain channel parameters, it is optimal for a single user to transmit to achieve the sum-Rate Capacity. This is in sharp contrast to the Gaussian MAC, in which all users must transmit, either simultaneously or at different times, in order to achieve the sum-Rate Capacity.

  • ISIT - On the sum-Rate Capacity of non-symmetric Poisson multiple access channel
    2016 IEEE International Symposium on Information Theory (ISIT), 2016
    Co-Authors: Ain-ul Aisha, Lifeng Lai, Yingbin Liang, Shlomo Shamai
    Abstract:

    In this paper, we characterize the sum-Rate Capacity of the non-symmetric Poisson multiple access channel (MAC). While the sum-Rate Capacity of the symmetric Poisson MAC has been characterized in the literature, the special property exploited in the existing method for the symmetric case does not hold for the non-symmetric channel anymore. We obtain the optimal input that achieves the sum-Rate Capacity by solving a non-convex optimization problem. We show that, for certain channel parameters, it is optimal for a single user to transmit to achieve the sum-Rate Capacity. This is in sharp contrast to the Gaussian MAC, in which all users must transmit, either simultaneously or at different times, in order to achieve the sum-Rate Capacity.