Stochastic Order

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Peter J Beek - One of the best experts on this subject based on the ideXlab platform.

  • Stochastic Order parameter equation of isometric force production revealed by drift diffusion estimates
    Physical Review E, 2006
    Co-Authors: T. D. Frank, R Friedrich, Peter J Beek
    Abstract:

    We address two questions that are central to understanding human motor control variability: what kind of dynamical components contribute to motor control variability (i.e., deterministic and/or random ones), and how are those components structured? To this end, we derive a Stochastic Order parameter equation for isometric force production from experimental data using drift-diffusion estimates. We show that the force variability increases with the required force output because of a decrease of deterministic stability and an accompanying increase of noise intensity. A structural analysis reveals that the deterministic component consists of a linear control loop, while the random component involves a noise source that scales with force output. In addition, we present evidence for the existence of a subject-independent overall noise level of human isometric force production. © 2006 The American Physical Society.

  • Stochastic Order parameter equation of isometric force production revealed by drift diffusion estimates
    Physical Review E, 2006
    Co-Authors: T. D. Frank, R Friedrich, Peter J Beek
    Abstract:

    We address two questions that are central to understanding human motor control variability: what kind of dynamical components contribute to motor control variability (i.e., deterministic and/or random ones), and how are those components structured? To this end, we derive a Stochastic Order parameter equation for isometric force production from experimental data using drift-diffusion estimates. We show that the force variability increases with the required force output because of a decrease of deterministic stability and an accompanying increase of noise intensity. A structural analysis reveals that the deterministic component consists of a linear control loop, while the random component involves a noise source that scales with force output. In addition, we present evidence for the existence of a subject-independent overall noise level of human isometric force production.

T. D. Frank - One of the best experts on this subject based on the ideXlab platform.

  • Stochastic Order parameter equation of isometric force production revealed by drift diffusion estimates
    Physical Review E, 2006
    Co-Authors: T. D. Frank, R Friedrich, Peter J Beek
    Abstract:

    We address two questions that are central to understanding human motor control variability: what kind of dynamical components contribute to motor control variability (i.e., deterministic and/or random ones), and how are those components structured? To this end, we derive a Stochastic Order parameter equation for isometric force production from experimental data using drift-diffusion estimates. We show that the force variability increases with the required force output because of a decrease of deterministic stability and an accompanying increase of noise intensity. A structural analysis reveals that the deterministic component consists of a linear control loop, while the random component involves a noise source that scales with force output. In addition, we present evidence for the existence of a subject-independent overall noise level of human isometric force production. © 2006 The American Physical Society.

  • Stochastic Order parameter equation of isometric force production revealed by drift diffusion estimates
    Physical Review E, 2006
    Co-Authors: T. D. Frank, R Friedrich, Peter J Beek
    Abstract:

    We address two questions that are central to understanding human motor control variability: what kind of dynamical components contribute to motor control variability (i.e., deterministic and/or random ones), and how are those components structured? To this end, we derive a Stochastic Order parameter equation for isometric force production from experimental data using drift-diffusion estimates. We show that the force variability increases with the required force output because of a decrease of deterministic stability and an accompanying increase of noise intensity. A structural analysis reveals that the deterministic component consists of a linear control loop, while the random component involves a noise source that scales with force output. In addition, we present evidence for the existence of a subject-independent overall noise level of human isometric force production.

Eduard A Jorswieck - One of the best experts on this subject based on the ideXlab platform.

  • on fast fading binary interference channels without channel state information at the transmitter
    International Conference on Communications, 2020
    Co-Authors: Pinhsun Lin, Eduard A Jorswieck, Bho Matthiesen
    Abstract:

    In this paper, fast fading binary interference channels (B-IC) with only statistical channel state information at the transmitter are considered. We derive the achievable sum rate of an asymmetric B-IC with moderate interference by rate splitting with a non-uniform time sharing. For asymmetric B-ICs with strong interference, we derive the capacity region via Stochastic Order and coupling. For symmetric B-ICs with weak interference, we derive the capacity region where the converse is proved with new and simpler proofs than Vahid's key lemmas. Numerical results show that when both the direct-links and the cross-links are asymmetric, rate splitting with non-uniform time sharing is better than uniform time sharing. In contrast, if the direct-links are symmetric but the cross-links are asymmetric, rate splitting with uniform time sharing is better.

  • degradedness and Stochastic Orders of fast fading gaussian broadcast channels with statistical channel state information at the transmitter
    International Conference on Acoustics Speech and Signal Processing, 2016
    Co-Authors: Pinhsun Lin, Eduard A Jorswieck, Rafael F Schaefer, Carsten R Janda, Martin Mittelbach
    Abstract:

    The capacity regions of Gaussian broadcast channels depends on the knowledge of channel state information (CSI). When there is only statistical CSI at the transmitter and full CSI at the receiver, the ergodic capacity region is unknown in general. In this paper we investigate the relation between the degradedness and Stochastic Orders among channels from the transmitter to different receivers. We derive criteria to identify the degradedness for single and multiple-antenna cases when the channels belong to the usual Stochastic Order or the increasing convex Order. Examples illustrate the usage of the derived criteria. We also show a case in which the channel enhancement technique can be applied even when there is only statistical CSIT.

  • on the fast fading gaussian wiretap channel with statistical channel state information at the transmitter
    IEEE Transactions on Information Forensics and Security, 2016
    Co-Authors: Pinhsun Lin, Eduard A Jorswieck
    Abstract:

    In this paper, we investigate the ergodic secrecy capacity of the fast fading Gaussian wiretap channel when only the statistics of the channel state information are known at the transmitter. We derive conditions for the existence of degradedness and a positive ergodic secrecy capacity under the usual Stochastic Order, the convex Order, and the increasing convex Order between the legitimate and eavesdropper channels. For more general Orders, we prove the secrecy capacity of layered erasure wiretap channels and propose a layered signaling for the achievable scheme, and we derive an upper bound on the capacity for fast fading Gaussian wiretap channels. Finally, the numerical results show that under Nakagami-m fast fading channels, the proposed layered signaling outperforms the Gaussian codebook in several cases. In particular, in certain cases, the Gaussian codebook can achieve only a zero secrecy rate, whereas the proposed scheme achieves positive secrecy rates. Therefore, the connectivity of wireless networks can be significantly improved by the proposed scheme.

  • on the degradedness of fast fading gaussian multiple antenna wiretap channels with statistical channel state information at the transmitter
    Global Communications Conference, 2015
    Co-Authors: Pinhsun Lin, Eduard A Jorswieck, Rafael F Schaefer, Martin Mittelbach
    Abstract:

    The characterization of secrecy capacities of Gaussian wiretap channels depends on the knowledge of channel state information at the transmitter (CSIT). When there is only statistical CSIT, the secrecy capacity is unknown in general. In this paper we investigate the relation between the usual multivariate Stochastic Order and the degradedness among the legitimate receiver's and eavesdropper's channels under fast fading with only statistical CSIT. The considered transmitter has multiple antennas and the legitimate receiver and the eavesdropper both have multiple antennas. Based on the technique of coupling we derive criteria to check the degradedness of the fast fading Gaussian wiretap channel including some commonly used channel models even there is only statistical CSIT. We illustrate one example of a Rician $2\times 2\times2$ channel where the ergodic secrecy capacity can be derived under different K-factors.

Pinhsun Lin - One of the best experts on this subject based on the ideXlab platform.

  • on fast fading binary interference channels without channel state information at the transmitter
    International Conference on Communications, 2020
    Co-Authors: Pinhsun Lin, Eduard A Jorswieck, Bho Matthiesen
    Abstract:

    In this paper, fast fading binary interference channels (B-IC) with only statistical channel state information at the transmitter are considered. We derive the achievable sum rate of an asymmetric B-IC with moderate interference by rate splitting with a non-uniform time sharing. For asymmetric B-ICs with strong interference, we derive the capacity region via Stochastic Order and coupling. For symmetric B-ICs with weak interference, we derive the capacity region where the converse is proved with new and simpler proofs than Vahid's key lemmas. Numerical results show that when both the direct-links and the cross-links are asymmetric, rate splitting with non-uniform time sharing is better than uniform time sharing. In contrast, if the direct-links are symmetric but the cross-links are asymmetric, rate splitting with uniform time sharing is better.

  • degradedness and Stochastic Orders of fast fading gaussian broadcast channels with statistical channel state information at the transmitter
    International Conference on Acoustics Speech and Signal Processing, 2016
    Co-Authors: Pinhsun Lin, Eduard A Jorswieck, Rafael F Schaefer, Carsten R Janda, Martin Mittelbach
    Abstract:

    The capacity regions of Gaussian broadcast channels depends on the knowledge of channel state information (CSI). When there is only statistical CSI at the transmitter and full CSI at the receiver, the ergodic capacity region is unknown in general. In this paper we investigate the relation between the degradedness and Stochastic Orders among channels from the transmitter to different receivers. We derive criteria to identify the degradedness for single and multiple-antenna cases when the channels belong to the usual Stochastic Order or the increasing convex Order. Examples illustrate the usage of the derived criteria. We also show a case in which the channel enhancement technique can be applied even when there is only statistical CSIT.

  • on the fast fading gaussian wiretap channel with statistical channel state information at the transmitter
    IEEE Transactions on Information Forensics and Security, 2016
    Co-Authors: Pinhsun Lin, Eduard A Jorswieck
    Abstract:

    In this paper, we investigate the ergodic secrecy capacity of the fast fading Gaussian wiretap channel when only the statistics of the channel state information are known at the transmitter. We derive conditions for the existence of degradedness and a positive ergodic secrecy capacity under the usual Stochastic Order, the convex Order, and the increasing convex Order between the legitimate and eavesdropper channels. For more general Orders, we prove the secrecy capacity of layered erasure wiretap channels and propose a layered signaling for the achievable scheme, and we derive an upper bound on the capacity for fast fading Gaussian wiretap channels. Finally, the numerical results show that under Nakagami-m fast fading channels, the proposed layered signaling outperforms the Gaussian codebook in several cases. In particular, in certain cases, the Gaussian codebook can achieve only a zero secrecy rate, whereas the proposed scheme achieves positive secrecy rates. Therefore, the connectivity of wireless networks can be significantly improved by the proposed scheme.

  • on the degradedness of fast fading gaussian multiple antenna wiretap channels with statistical channel state information at the transmitter
    Global Communications Conference, 2015
    Co-Authors: Pinhsun Lin, Eduard A Jorswieck, Rafael F Schaefer, Martin Mittelbach
    Abstract:

    The characterization of secrecy capacities of Gaussian wiretap channels depends on the knowledge of channel state information at the transmitter (CSIT). When there is only statistical CSIT, the secrecy capacity is unknown in general. In this paper we investigate the relation between the usual multivariate Stochastic Order and the degradedness among the legitimate receiver's and eavesdropper's channels under fast fading with only statistical CSIT. The considered transmitter has multiple antennas and the legitimate receiver and the eavesdropper both have multiple antennas. Based on the technique of coupling we derive criteria to check the degradedness of the fast fading Gaussian wiretap channel including some commonly used channel models even there is only statistical CSIT. We illustrate one example of a Rician $2\times 2\times2$ channel where the ergodic secrecy capacity can be derived under different K-factors.

R Friedrich - One of the best experts on this subject based on the ideXlab platform.

  • Stochastic Order parameter equation of isometric force production revealed by drift diffusion estimates
    Physical Review E, 2006
    Co-Authors: T. D. Frank, R Friedrich, Peter J Beek
    Abstract:

    We address two questions that are central to understanding human motor control variability: what kind of dynamical components contribute to motor control variability (i.e., deterministic and/or random ones), and how are those components structured? To this end, we derive a Stochastic Order parameter equation for isometric force production from experimental data using drift-diffusion estimates. We show that the force variability increases with the required force output because of a decrease of deterministic stability and an accompanying increase of noise intensity. A structural analysis reveals that the deterministic component consists of a linear control loop, while the random component involves a noise source that scales with force output. In addition, we present evidence for the existence of a subject-independent overall noise level of human isometric force production. © 2006 The American Physical Society.

  • Stochastic Order parameter equation of isometric force production revealed by drift diffusion estimates
    Physical Review E, 2006
    Co-Authors: T. D. Frank, R Friedrich, Peter J Beek
    Abstract:

    We address two questions that are central to understanding human motor control variability: what kind of dynamical components contribute to motor control variability (i.e., deterministic and/or random ones), and how are those components structured? To this end, we derive a Stochastic Order parameter equation for isometric force production from experimental data using drift-diffusion estimates. We show that the force variability increases with the required force output because of a decrease of deterministic stability and an accompanying increase of noise intensity. A structural analysis reveals that the deterministic component consists of a linear control loop, while the random component involves a noise source that scales with force output. In addition, we present evidence for the existence of a subject-independent overall noise level of human isometric force production.