Learning-based multi-relay selection for cooperative networks based on compressed sensing

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Learning-based multi-relay selection for cooperative networks based on compressed sensing Xiaomei Fu1 • Jialun Li2 • Shuai Chang1

 Springer Science+Business Media, LLC, part of Springer Nature 2019

Abstract Cooperative relaying is an effective technology to improve the secrecy capacity of physical-layer (PHY) security. Multiple relays can help further exploit the spatial diversity of cooperative networks. In power-limited networks, relay selection scheme is crucial important for it determines whether the optimal relay combination can be selected. This paper studies the problem of multi-relay selection in amplify-and-forward compressed sensing (AF-CS) networks, in which relays help all sources amplify and forward the signal, and the transmission matrix is used as the measurement matrix to encrypt the information. A self-organizing algorithm based on stochastic learning automata (SLA) is proposed for the AF-CS network to look for the best relay combination in a self-learning and self-optimizing way, and named ‘‘learning-based multi-relay selection algorithm’’ (L-MRS). In L-MRS, the destination node is self-optimizing to select the best state autonomously, and relays are self-organizing to decide whether to join the cooperation or not according to the environment feedback. Simulation studies verify the L-MRS’s is able to select the optimal relay-combination in a very stable way, and can get higher secrecy capacity compared with the coalition formation game method. Keywords Cooperative relaying  Multi-relay selection  Learning automata  AF-CS  Secrecy capacity

1 Introduction Secure transmission has always been of great importance in wireless communication. Due to the broadcast nature of wireless channels, the eavesdroppers can easily receive the original signals from source nodes. Thereby, measures must be taken to protect the signals from being decrypted. The common-used cryptographic mechanisms have several main shortcomings, such as the difficulty in distributing the key over a public medium, and the high computational complexity in wireless sensor networks. & Shuai Chang [email protected] Xiaomei Fu [email protected] Jialun Li [email protected] 1

School of Marine Science and Technology, Tianjin University, Tianjin, China

2

School of Electrical and Information Engineering, Tianjin University, Tianjin, China

PHY layer security approaches can enhance the security of wireless communication against eavesdroppers by exploiting the physical characteristics of wireless channels without encryption keys [1], and has attracted much attention. Secrecy capacity is an important measure of PHY layer security, and defined as the maximum rate of secret information sent from users to its destination in the presence of eavesdroppers [2]. For networks without relays, the security can be achieved only when the main channel is better than the eavesdropper channel. While cooperative communication scheme makes secure transmission possible even when the eavesdropper channel