Exponential Integral Function

14,000,000 Leading Edge Experts on the ideXlab platform

Scan Science and Technology

Contact Leading Edge Experts & Companies

Scan Science and Technology

Contact Leading Edge Experts & Companies

The Experts below are selected from a list of 5445 Experts worldwide ranked by ideXlab platform

Shivakumar Sastry - One of the best experts on this subject based on the ideXlab platform.

  • on secrecy rate and optimal power allocation of the full duplex amplify and forward relay wire tap channel
    IEEE Transactions on Vehicular Technology, 2017
    Co-Authors: Cuong Dang, Nghi H Tran, Leonardo Jimenezrodriguez, Sachin Shetty, Shivakumar Sastry
    Abstract:

    We present the secrecy rate of a relay wire-tap channel in which a source node communicates securely to a destination node in the presence of an eavesdropper using an amplify-and-forward (AF) relay operating in full-duplex (FD) mode. We explicitly account for the residual self-interference due to FD transmission and compute the optimal power allocation (PA) that maximizes the secrecy rate under both individual and joint power constraints of the source and the relay nodes. For slowly varying fading channels, we show that the optimal PA problem is quasiconcave and, hence, determine the globally optimal solution. Applying the method of dominant balance to analyze the capacity and PA schemes in different high-power regimes, we demonstrate that full PA at the relay is only necessary when the power at the relay is sufficiently small compared to the power at the source. Our results show that FD relaying achieves a significantly higher secrecy rate than half-duplex (HD) relaying. We extend the results to ergodic fading channels where the channel gains are assumed to be available at the receivers but not the transmitters. To this end, we first calculate the expectation of linear Functions of Exponentially distributed random variables using the Exponential Integral Function. This method allows us to obtain a closed-form expression for the ergodic secrecy rate. The bisection method can then be applied to find the optimal PA scheme. Numerical results also reveal the superiority of FD over HD relaying in channels with ergodic fading.

Cuong Dang - One of the best experts on this subject based on the ideXlab platform.

  • on secrecy rate and optimal power allocation of the full duplex amplify and forward relay wire tap channel
    IEEE Transactions on Vehicular Technology, 2017
    Co-Authors: Cuong Dang, Nghi H Tran, Leonardo Jimenezrodriguez, Sachin Shetty, Shivakumar Sastry
    Abstract:

    We present the secrecy rate of a relay wire-tap channel in which a source node communicates securely to a destination node in the presence of an eavesdropper using an amplify-and-forward (AF) relay operating in full-duplex (FD) mode. We explicitly account for the residual self-interference due to FD transmission and compute the optimal power allocation (PA) that maximizes the secrecy rate under both individual and joint power constraints of the source and the relay nodes. For slowly varying fading channels, we show that the optimal PA problem is quasiconcave and, hence, determine the globally optimal solution. Applying the method of dominant balance to analyze the capacity and PA schemes in different high-power regimes, we demonstrate that full PA at the relay is only necessary when the power at the relay is sufficiently small compared to the power at the source. Our results show that FD relaying achieves a significantly higher secrecy rate than half-duplex (HD) relaying. We extend the results to ergodic fading channels where the channel gains are assumed to be available at the receivers but not the transmitters. To this end, we first calculate the expectation of linear Functions of Exponentially distributed random variables using the Exponential Integral Function. This method allows us to obtain a closed-form expression for the ergodic secrecy rate. The bisection method can then be applied to find the optimal PA scheme. Numerical results also reveal the superiority of FD over HD relaying in channels with ergodic fading.

  • secrecy rate of the amplify and forward relay wire tap channel in rayleigh fading
    2015
    Co-Authors: Cuong Dang, Leonardo Jimenez Rodriguez, Ducanh Le, Nghi H Tran
    Abstract:

    Benefiting from information-theoretic studies in cooperative relaying communications, relaying strategies have recently received considerable attention in the context of physical-layer security over wireless networks. In this paper, we investigate the secrecy rate of a relay wire-tap Rayleigh fading channel in which a source wishes to communicate securely to a destination in the presence of an eavesdropper and under the aid of an amplify-and-forward (AF) relay. Due to the presence of fading, it is a very challenging task to obtain the secrecy rate in closed-form. To overcome this issue, we first propose a novel method to calculate the expectation of an Exponentially distributed random variable using the Exponential Integral Function. By exploiting this calculation, we then establish the average secrecy rate of the considered AF relay channel in closed-form. Numerical results show that the proposed formula provides an accurate and effective way to obtain the secrecy rate without the need of time-consuming Monte Carlo simulations.

Nghi H Tran - One of the best experts on this subject based on the ideXlab platform.

  • on secrecy rate and optimal power allocation of the full duplex amplify and forward relay wire tap channel
    IEEE Transactions on Vehicular Technology, 2017
    Co-Authors: Cuong Dang, Nghi H Tran, Leonardo Jimenezrodriguez, Sachin Shetty, Shivakumar Sastry
    Abstract:

    We present the secrecy rate of a relay wire-tap channel in which a source node communicates securely to a destination node in the presence of an eavesdropper using an amplify-and-forward (AF) relay operating in full-duplex (FD) mode. We explicitly account for the residual self-interference due to FD transmission and compute the optimal power allocation (PA) that maximizes the secrecy rate under both individual and joint power constraints of the source and the relay nodes. For slowly varying fading channels, we show that the optimal PA problem is quasiconcave and, hence, determine the globally optimal solution. Applying the method of dominant balance to analyze the capacity and PA schemes in different high-power regimes, we demonstrate that full PA at the relay is only necessary when the power at the relay is sufficiently small compared to the power at the source. Our results show that FD relaying achieves a significantly higher secrecy rate than half-duplex (HD) relaying. We extend the results to ergodic fading channels where the channel gains are assumed to be available at the receivers but not the transmitters. To this end, we first calculate the expectation of linear Functions of Exponentially distributed random variables using the Exponential Integral Function. This method allows us to obtain a closed-form expression for the ergodic secrecy rate. The bisection method can then be applied to find the optimal PA scheme. Numerical results also reveal the superiority of FD over HD relaying in channels with ergodic fading.

  • secrecy rate of the amplify and forward relay wire tap channel in rayleigh fading
    2015
    Co-Authors: Cuong Dang, Leonardo Jimenez Rodriguez, Ducanh Le, Nghi H Tran
    Abstract:

    Benefiting from information-theoretic studies in cooperative relaying communications, relaying strategies have recently received considerable attention in the context of physical-layer security over wireless networks. In this paper, we investigate the secrecy rate of a relay wire-tap Rayleigh fading channel in which a source wishes to communicate securely to a destination in the presence of an eavesdropper and under the aid of an amplify-and-forward (AF) relay. Due to the presence of fading, it is a very challenging task to obtain the secrecy rate in closed-form. To overcome this issue, we first propose a novel method to calculate the expectation of an Exponentially distributed random variable using the Exponential Integral Function. By exploiting this calculation, we then establish the average secrecy rate of the considered AF relay channel in closed-form. Numerical results show that the proposed formula provides an accurate and effective way to obtain the secrecy rate without the need of time-consuming Monte Carlo simulations.

Leonardo Jimenezrodriguez - One of the best experts on this subject based on the ideXlab platform.

  • on secrecy rate and optimal power allocation of the full duplex amplify and forward relay wire tap channel
    IEEE Transactions on Vehicular Technology, 2017
    Co-Authors: Cuong Dang, Nghi H Tran, Leonardo Jimenezrodriguez, Sachin Shetty, Shivakumar Sastry
    Abstract:

    We present the secrecy rate of a relay wire-tap channel in which a source node communicates securely to a destination node in the presence of an eavesdropper using an amplify-and-forward (AF) relay operating in full-duplex (FD) mode. We explicitly account for the residual self-interference due to FD transmission and compute the optimal power allocation (PA) that maximizes the secrecy rate under both individual and joint power constraints of the source and the relay nodes. For slowly varying fading channels, we show that the optimal PA problem is quasiconcave and, hence, determine the globally optimal solution. Applying the method of dominant balance to analyze the capacity and PA schemes in different high-power regimes, we demonstrate that full PA at the relay is only necessary when the power at the relay is sufficiently small compared to the power at the source. Our results show that FD relaying achieves a significantly higher secrecy rate than half-duplex (HD) relaying. We extend the results to ergodic fading channels where the channel gains are assumed to be available at the receivers but not the transmitters. To this end, we first calculate the expectation of linear Functions of Exponentially distributed random variables using the Exponential Integral Function. This method allows us to obtain a closed-form expression for the ergodic secrecy rate. The bisection method can then be applied to find the optimal PA scheme. Numerical results also reveal the superiority of FD over HD relaying in channels with ergodic fading.

Sachin Shetty - One of the best experts on this subject based on the ideXlab platform.

  • on secrecy rate and optimal power allocation of the full duplex amplify and forward relay wire tap channel
    IEEE Transactions on Vehicular Technology, 2017
    Co-Authors: Cuong Dang, Nghi H Tran, Leonardo Jimenezrodriguez, Sachin Shetty, Shivakumar Sastry
    Abstract:

    We present the secrecy rate of a relay wire-tap channel in which a source node communicates securely to a destination node in the presence of an eavesdropper using an amplify-and-forward (AF) relay operating in full-duplex (FD) mode. We explicitly account for the residual self-interference due to FD transmission and compute the optimal power allocation (PA) that maximizes the secrecy rate under both individual and joint power constraints of the source and the relay nodes. For slowly varying fading channels, we show that the optimal PA problem is quasiconcave and, hence, determine the globally optimal solution. Applying the method of dominant balance to analyze the capacity and PA schemes in different high-power regimes, we demonstrate that full PA at the relay is only necessary when the power at the relay is sufficiently small compared to the power at the source. Our results show that FD relaying achieves a significantly higher secrecy rate than half-duplex (HD) relaying. We extend the results to ergodic fading channels where the channel gains are assumed to be available at the receivers but not the transmitters. To this end, we first calculate the expectation of linear Functions of Exponentially distributed random variables using the Exponential Integral Function. This method allows us to obtain a closed-form expression for the ergodic secrecy rate. The bisection method can then be applied to find the optimal PA scheme. Numerical results also reveal the superiority of FD over HD relaying in channels with ergodic fading.