1,244 research outputs found

    Poisson noise channel with dark current: Numerical computation of the optimal input distribution

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    This paper considers a discrete time-Poisson noise channel which is used to model pulse-amplitude modulated optical communication with a direct-detection receiver. The goal of this paper is to obtain insights into the capacity and the structure of the capacity-achieving distribution for the channel under the amplitude constraint A\mathsf{A} and in the presence of dark current λ\lambda. Using recent theoretical progress on the structure of the capacity-achieving distribution, this paper develops a numerical algorithm, based on the gradient ascent and Blahut-Arimoto algorithms, for computing the capacity and the capacity-achieving distribution. The algorithm is used to perform extensive numerical simulations for various regimes of A\mathsf{A} and λ\lambda.Comment: Submitted to IEEE ICC 2022. This is a companion paper of: A. Dytso, L. Barletta and S. Shamai Shitz, "Properties of the Support of the Capacity-Achieving Distribution of the Amplitude-Constrained Poisson Noise Channel," in IEEE Transactions on Information Theory, vol. 67, no. 11, pp. 7050-7066, Nov. 202

    Amplitude-Constrained Gaussian Wiretap Channel: Computation of the Optimal Input Distribution

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    Effect of a finite external heat transfer coefficient on the Darcy-Benard instability in a vertical porous cylinder

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    The onset of thermal convection in a vertical porous cylinder is studied by considering the heating from below and the cooling from above as caused by external forced convection processes. These processes are parametrised through a finite Biot number, and hence through third-kind, or Robin, temperature conditions imposed on the lower and upper boundaries of the cylinder. Both the horizontal plane boundaries and the cylindrical sidewall are assumed to be impermeable; the sidewall is modelled as a thermally insulated boundary. The linear stability analysis is carried out by studying separable normal modes, and the principle of exchange of stabilities is proved. It is shown that the Biot number does not affect the ordering of the instability modes that, when the radius-to-height aspect ratio increases, are displayed in sequence at the onset of convection. On the other hand, the Biot number plays a central role in determining the transition aspect ratios from one mode to its follower. In the limit of a vanishingly small Biot number, just the first (non-axisymmetric) mode is displayed at the onset of convection, for every value of the aspect ratio. (C) 2013 American Institute of Physic
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