Asymptotic Expression

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David Wilkowski - One of the best experts on this subject based on the ideXlab platform.

  • resonant forward scattered field in the high saturation regime elastic and inelastic contributions
    Physical Review A, 2020
    Co-Authors: Chang Chi Kwong, Thomas Wellens, Kanhaiya Pandey, David Wilkowski
    Abstract:

    We measure the resonant forward scattering of light by a highly saturated atomic medium through the flashes emitted immediately after an abrupt extinction of the probe beam. The experiment is done in a dilute regime where the phenomena are well captured using the independent scattering approximation. Comparing our measurements to a model based on Maxwell-Bloch equations, our experimental results are consistent with contributions from only the elastic component, whereas the attenuation of the coherent transmission power is linked to the elastic and inelastic scatterings. In the large saturation regime and at the vicinity of the atomic resonance, we derive an Asymptotic Expression relating the elastic scattering power to the forward-scattered power.

C L Nikias - One of the best experts on this subject based on the ideXlab platform.

  • Performance of optimum and suboptimum receivers in the presence of impulsive noise modeled as an alpha-stable process
    IEEE Transactions on Communications, 1995
    Co-Authors: George A Tsihrintzis, C L Nikias
    Abstract:

    Impulsive noise bursts in communication systems are traditionally handled by incorporating in the receiver a limiter which clips the received signal before integration. An empirical justification for this procedure is that it generally causes the signal-to-noise ratio to increase. Recently, very accurate models of impulsive noise were presented, based on the theory of symmetric /spl alpha/-stable probability density functions. We examine the performance of optimum receivers, designed to detect signals embedded in impulsive noise which is modeled as an infinite variance symmetric /spl alpha/-stable process, and compare it against the performance of several suboptimum receivers. As a measure of receiver performance, we compute an Asymptotic Expression for the probability of error for each receiver and compare it to the probability of error calculated by extensive Monte-Carlo simulation. >

  • performance of optimum and suboptimum receivers in the presence of impulsive noise modeled as an alpha stable process
    Military Communications Conference, 1993
    Co-Authors: George A Tsihrintzis, C L Nikias
    Abstract:

    Impulsive noise bursts in communications systems are traditionally handled by incorporating in the receiver limiter which clips the received signal before integration. The justification for this procedure is that it generally causes the signal-to-noise ratio to increase. The authors examine the performance of optimum receivers, designed to detect signals embedded in impulsive noise which is modeled as an infinite variance symmetric alpha-stable process. As a measure of receiver performance, they use an Asymptotic Expression for the probability of error obtained in the limit of large number of samples. >

Qihe Tang - One of the best experts on this subject based on the ideXlab platform.

  • The probabilities of absolute ruin in the renewal risk model with constant force of interest
    2020
    Co-Authors: Dimitrios G Konstantinides, Qihe Tang
    Abstract:

    Abstract. In this paper we consider the probabilities of finite-and infinite-time absolute ruin in the renewal risk model with constant premium rate and constant force of interest. In the particular case of compound Poisson model, explicit Asymptotic Expressions for the finiteand infinite-time absolute ruin probabilities are given. For the general renewal risk model, we present an Asymptotic Expression for the infinite-time absolute ruin probability. Conditional distributions of Poisson processes and probabilistic techniques regarding randomly weighted sums are employed in the course of this study

  • the probabilities of absolute ruin in the renewal risk model with constant force of interest
    Journal of Applied Probability, 2010
    Co-Authors: Dimitrios G Konstantinides, Qihe Tang
    Abstract:

    In this paper we consider the probabilities of finite- and infinite-time absolute ruins in the renewal risk model with constant premium rate and constant force of interest. In the particular case of the compound Poisson model, explicit Asymptotic Expressions for the finite- and infinite-time absolute ruin probabilities are given. For the general renewal risk model, we present an Asymptotic Expression for the infinite-time absolute ruin probability. Conditional distributions of Poisson processes and probabilistic techniques regarding randomly weighted sums are employed in the course of this study.

George A Tsihrintzis - One of the best experts on this subject based on the ideXlab platform.

  • Performance of optimum and suboptimum receivers in the presence of impulsive noise modeled as an alpha-stable process
    IEEE Transactions on Communications, 1995
    Co-Authors: George A Tsihrintzis, C L Nikias
    Abstract:

    Impulsive noise bursts in communication systems are traditionally handled by incorporating in the receiver a limiter which clips the received signal before integration. An empirical justification for this procedure is that it generally causes the signal-to-noise ratio to increase. Recently, very accurate models of impulsive noise were presented, based on the theory of symmetric /spl alpha/-stable probability density functions. We examine the performance of optimum receivers, designed to detect signals embedded in impulsive noise which is modeled as an infinite variance symmetric /spl alpha/-stable process, and compare it against the performance of several suboptimum receivers. As a measure of receiver performance, we compute an Asymptotic Expression for the probability of error for each receiver and compare it to the probability of error calculated by extensive Monte-Carlo simulation. >

  • performance of optimum and suboptimum receivers in the presence of impulsive noise modeled as an alpha stable process
    Military Communications Conference, 1993
    Co-Authors: George A Tsihrintzis, C L Nikias
    Abstract:

    Impulsive noise bursts in communications systems are traditionally handled by incorporating in the receiver limiter which clips the received signal before integration. The justification for this procedure is that it generally causes the signal-to-noise ratio to increase. The authors examine the performance of optimum receivers, designed to detect signals embedded in impulsive noise which is modeled as an infinite variance symmetric alpha-stable process. As a measure of receiver performance, they use an Asymptotic Expression for the probability of error obtained in the limit of large number of samples. >

Chang Chi Kwong - One of the best experts on this subject based on the ideXlab platform.

  • resonant forward scattered field in the high saturation regime elastic and inelastic contributions
    Physical Review A, 2020
    Co-Authors: Chang Chi Kwong, Thomas Wellens, Kanhaiya Pandey, David Wilkowski
    Abstract:

    We measure the resonant forward scattering of light by a highly saturated atomic medium through the flashes emitted immediately after an abrupt extinction of the probe beam. The experiment is done in a dilute regime where the phenomena are well captured using the independent scattering approximation. Comparing our measurements to a model based on Maxwell-Bloch equations, our experimental results are consistent with contributions from only the elastic component, whereas the attenuation of the coherent transmission power is linked to the elastic and inelastic scatterings. In the large saturation regime and at the vicinity of the atomic resonance, we derive an Asymptotic Expression relating the elastic scattering power to the forward-scattered power.