Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

IEEE Region 10 Symposium (TENSYMP)

Secrecy Capacity via Cooperative Transmitting under Rayleigh and Nakagami-m Fading Channel

Mahmuda Khatun, Md. Imdadul Islam, Partha Chakraborty, Tasniya Ahmed, Aditi Sarker, Md. Shamim-Ul-Islam

Published Jan 1, 2020• 3 citations
Publisher

Abstract

In a wireless network, it is necessary to make the security of the network so high that eavesdroppers cannot intercept the messages. If a key message is divided into several blocks and sent to different transmitters around the receiver, then the eavesdroppers cannot retrieve the actual key in case of missing any blocks of the key messages. Cooperating transmitting provides a strategy to avoid overhearing of messages by any eavesdropper while transmitting them over a communication channel. This paper presents a network which consists of a number of transmitters, a number of eavesdroppers at unknown locations and a receiver at a random location. There are secured channels between the transmitters. The receiver exchanges a secret key with the transmitters. Poisson distribution and independently uniformly distribution (IUD) for the spatial distribution of the transmitters and eavesdroppers are used. In this paper, we analyze the variation of secrecy capacity of the network in the real-time environment using the Rayleigh and Nakagami- m fading channel. Network under Nakagami- m fading case shows little bit better performance compared to that of Rayleigh fading environment.

DOI
10.1109/tensymp50017.2020.9230615

Related papers

Secrecy capacity of a Nakagami-m fading channel in the presence of cooperative eavesdroppers

Souad Belmoubarik, Ghassane Aniba, Belhaj Elgraini

Physical layer security helps enormously cryptography to improve the confidentiality of communications over wireless networks. Indeed, the secrecy capacity is used at the physical layer to ensure not only the security of communications but also to exploit efficiently the channel capacity. The principle of secrecy capacity is to characterize the maximum data transmission rate, that can be reached while the exchanged information is kept secret from a malicious entity. In this paper, we present a closed-form expression of outage probability and we specify the outage secrecy capacity of a Nakagami-m fading channel in the presence of cooperative correlated eavesdroppers performing the maximal ratio combining which helps the eavesdroppers to tap the maximum of the exchanged information between the transmitter and the legitimate receiver. Simulations results show that a raise in the number of the cooperative eavesdroppers degrades significantly the secrecy capacity of this communication system, moreover the correlation degree between the eavesdroppers has a negative impact on the communication confidentiality especially when it takes small values.

Mediterranean Microwave Symposium•Dec 1, 2014•8 citations

Secure Wireless Communications via Cooperative Transmitting

Toni Stojanovski, Ninoslav Marina

Information-theoretic secrecy is combined with cryptographic secrecy to create a secret-key exchange protocol for wireless networks. A network of transmitters, which already have cryptographically secured channels between them, cooperate to exchange a secret key with a new receiver at a random location, in the presence of passive eavesdroppers at unknown locations. Two spatial point processes, homogeneous Poisson process and independent uniformly distributed points, are used for the spatial distributions of transmitters and eavesdroppers. We analyse the impact of the number of cooperating transmitters and the number of eavesdroppers on the area fraction where secure communication is possible. Upper bounds on the probability of existence of positive secrecy between the cooperating transmitters and the receiver are derived. The closeness of the upper bounds to the real value is then estimated by means of numerical simulations. Simulations also indicate that a deterministic spatial distribution for the transmitters, for example, hexagonal and square lattices, increases the probability of existence of positive secrecy capacity compared to the random spatial distributions. For the same number of friendly nodes, cooperative transmitting provides a dramatically larger secrecy region than cooperative jamming and cooperative relaying.

arXiv:1303.2654•The Scientific World JOURNAL•Jan 1, 2014•2 citations

Secure Communications over Wireless Networks

Md. Zahurul I. Sarkar

Nakagami-m fading channel is chosen to analyze the secrecy capacity for fading channels since the Nakagami-m distribution can model fading conditions, which are more or less severe than that of Rayleigh and has the advantage of including Rayleigh as a special case. At first, secrecy capacity is defined in case of full channel state information (CSI) at the transmitter, where transmitter has access to both the main channel and eavesdropper channel gains. Secondly, secrecy capacity is defined with only main channel CSI at the transmitter. Then, optimal power allocation at the transmitter that achieves the secrecy capacity is derived for both the cases. Moreover, secrecy capacity is defined under open-loop transmission scheme, and the exact closed form analytical expression for the lower bound of ergodic secrecy capacity is derived for Nakagami-m fading single-input multiple-output (SIMO) channel. In addition, secrecy capacity is defined for the AWGN channel in order to realize the information-theoretic security of wireless channels with no fading. Finally, analytical expressions for the probability of non-zero secrecy capacity and secure outage probability are derived in order to investigate the secure outage performance of fading channels.

IGI Global eBooks•Jan 1, 2012•0 citations

Secrecy capacity of Nakagami-m fading wireless channels in the presence of multiple eavesdroppers

Md. Zahurul I. Sarkar, Tharmalingam Ratnarajah, Mathini Sellathurai

This paper is concerned with the transmission of confidential message through Nakagami-m fading wireless channel in the presence of multiple eavesdroppers. The eavesdroppers are mutually independent and the information is secure if it cannot be eavesdropped by any eavesdropper. Considering the problem of secret communications between two nodes over Nakagami-m fading channel where a number of eavesdroppers observes their transmissions through other Nakagami-m fading channels, we characterize the probability of non-zero secrecy capacity and secure outage probability to investigate the secrecy capacity in terms of secure outage probability. We also present a formulation of the ergodic secrecy capacity in the presence of multiple eavesdroppers.

Asilomar Conference on Signals, Systems and Computers (ACSSC)•Jan 1, 2009•68 citations

Secure wireless multicasting through Nakagami-m fading MISO channel

Md. Zahurul I. Sarkar, Tharmalingam Ratnarajah

In the group-oriented applications such as military and commercial wireless cellular networks often require the same data to be conveyed to multiple users simultaneously. This technique is usually referred to as physical layer multicasting. In this paper, we consider the problem of secret communication over Nakagami-m fading multiple-input single-output (MISO) channel, where a single transmitter sends a common and confidential message to a group of receivers in the presence of an eavesdropper. We are interested in protecting this message from eavesdropping. At first, we define the secrecy multicast capacity for a K-receiver multicast channel at which the eavesdropper is unable to decode any information from the multicast channels and find the analytical expression for the lower bound of average secrecy multicast capacity. Then, we define the secrecy multicast capacity in terms of secure outage probability, and find the analytical expressions for the probability of non-zero secrecy multicast capacity and secure outage probability to study the outage behavior of the proposed model.

Asilomar Conference on Signals, Systems and Computers (ACSSC)•Nov 1, 2011•11 citations

Secure wireless multicasting through Rayleigh fading channels — A secrecy tradeoff

Md. Zahurul I. Sarkar, Tharmalingam Ratnarajah, Mathini Sellathurai

In this paper, a wireless multicast scenario is considered in which the transmitter sends a common message to multiple client receivers in the presence of an eavesdropper. We are interested in protecting this common message against eavesdropping. Based on an information-theoretic formulation of the problem, in which the transmitter and the mutually independent multiple client receivers communicate over quasi-static Rayleigh fading channels and an eavesdropper observes their transmissions through another quasi-static Rayleigh fading channel, we define the secrecy-sum capacity in terms of secure outage probability. Moreover, we also present a formulation of ergodic perfect secrecy multicast capacity at which the eavesdropper is unable to decode any information.

UK-India International Workshop on Cognitive Wireless Systems (UKIWCWS)•Dec 1, 2009•14 citations
In a wireless network, it is necessary to make the security of the network so high that eavesdroppers cannot intercept the messages. If a key message is divided into several blocks and sent to different transmitters around the receiver, then the eavesdroppers cannot retrieve the actual key in case of missing any blocks of the key messages. Cooperating transmitting provides a strategy to avoid overhearing of messages by any eavesdropper while transmitting them over a communication channel. This paper presents a network which consists of a number of transmitters, a number of eavesdroppers at unknown locations and a receiver at a random location. There are secured channels between the transmitters. The receiver exchanges a secret key with the transmitters. Poisson distribution and independently uniformly distribution (IUD) for the spatial distribution of the transmitters and eavesdroppers are used. In this paper, we analyze the variation of secrecy capacity of the network in the real-time environment using the Rayleigh and Nakagami- m fading channel. Network under Nakagami- m fading case shows little bit better performance compared to that of Rayleigh fading environment.
Physical layer security helps enormously cryptography to improve the confidentiality of communications over wireless networks. Indeed, the secrecy capacity is used at the physical layer to ensure not only the security of communications but also to exploit efficiently the channel capacity. The principle of secrecy capacity is to characterize the maximum data transmission rate, that can be reached while the exchanged information is kept secret from a malicious entity. In this paper, we present a closed-form expression of outage probability and we specify the outage secrecy capacity of a Nakagami-m fading channel in the presence of cooperative correlated eavesdroppers performing the maximal ratio combining which helps the eavesdroppers to tap the maximum of the exchanged information between the transmitter and the legitimate receiver. Simulations results show that a raise in the number of the cooperative eavesdroppers degrades significantly the secrecy capacity of this communication system, moreover the correlation degree between the eavesdroppers has a negative impact on the communication confidentiality especially when it takes small values.
Information-theoretic secrecy is combined with cryptographic secrecy to create a secret-key exchange protocol for wireless networks. A network of transmitters, which already have cryptographically secured channels between them, cooperate to exchange a secret key with a new receiver at a random location, in the presence of passive eavesdroppers at unknown locations. Two spatial point processes, homogeneous Poisson process and independent uniformly distributed points, are used for the spatial distributions of transmitters and eavesdroppers. We analyse the impact of the number of cooperating transmitters and the number of eavesdroppers on the area fraction where secure communication is possible. Upper bounds on the probability of existence of positive secrecy between the cooperating transmitters and the receiver are derived. The closeness of the upper bounds to the real value is then estimated by means of numerical simulations. Simulations also indicate that a deterministic spatial distribution for the transmitters, for example, hexagonal and square lattices, increases the probability of existence of positive secrecy capacity compared to the random spatial distributions. For the same number of friendly nodes, cooperative transmitting provides a dramatically larger secrecy region than cooperative jamming and cooperative relaying.
Nakagami-m fading channel is chosen to analyze the secrecy capacity for fading channels since the Nakagami-m distribution can model fading conditions, which are more or less severe than that of Rayleigh and has the advantage of including Rayleigh as a special case. At first, secrecy capacity is defined in case of full channel state information (CSI) at the transmitter, where transmitter has access to both the main channel and eavesdropper channel gains. Secondly, secrecy capacity is defined with only main channel CSI at the transmitter. Then, optimal power allocation at the transmitter that achieves the secrecy capacity is derived for both the cases. Moreover, secrecy capacity is defined under open-loop transmission scheme, and the exact closed form analytical expression for the lower bound of ergodic secrecy capacity is derived for Nakagami-m fading single-input multiple-output (SIMO) channel. In addition, secrecy capacity is defined for the AWGN channel in order to realize the information-theoretic security of wireless channels with no fading. Finally, analytical expressions for the probability of non-zero secrecy capacity and secure outage probability are derived in order to investigate the secure outage performance of fading channels.
This paper is concerned with the transmission of confidential message through Nakagami-m fading wireless channel in the presence of multiple eavesdroppers. The eavesdroppers are mutually independent and the information is secure if it cannot be eavesdropped by any eavesdropper. Considering the problem of secret communications between two nodes over Nakagami-m fading channel where a number of eavesdroppers observes their transmissions through other Nakagami-m fading channels, we characterize the probability of non-zero secrecy capacity and secure outage probability to investigate the secrecy capacity in terms of secure outage probability. We also present a formulation of the ergodic secrecy capacity in the presence of multiple eavesdroppers.
In the group-oriented applications such as military and commercial wireless cellular networks often require the same data to be conveyed to multiple users simultaneously. This technique is usually referred to as physical layer multicasting. In this paper, we consider the problem of secret communication over Nakagami-m fading multiple-input single-output (MISO) channel, where a single transmitter sends a common and confidential message to a group of receivers in the presence of an eavesdropper. We are interested in protecting this message from eavesdropping. At first, we define the secrecy multicast capacity for a K-receiver multicast channel at which the eavesdropper is unable to decode any information from the multicast channels and find the analytical expression for the lower bound of average secrecy multicast capacity. Then, we define the secrecy multicast capacity in terms of secure outage probability, and find the analytical expressions for the probability of non-zero secrecy multicast capacity and secure outage probability to study the outage behavior of the proposed model.
In this paper, a wireless multicast scenario is considered in which the transmitter sends a common message to multiple client receivers in the presence of an eavesdropper. We are interested in protecting this common message against eavesdropping. Based on an information-theoretic formulation of the problem, in which the transmitter and the mutually independent multiple client receivers communicate over quasi-static Rayleigh fading channels and an eavesdropper observes their transmissions through another quasi-static Rayleigh fading channel, we define the secrecy-sum capacity in terms of secure outage probability. Moreover, we also present a formulation of ergodic perfect secrecy multicast capacity at which the eavesdropper is unable to decode any information.