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In this paper, we study the problem of network selection in dense heterogeneous cellular networks, where multiple base stations (BSs) are available to meet the demand for wireless data. The selection of the most appropriate BS for each user equipment (UE) is a complex task, taking into account factors such as signal strength, interference, and available resources. To solve this problem, we propose a distributed algorithm based on game theory that optimizes network selection by considering the physical rate of UEs towards various BSs. The algorithm clusters UEs based on their physical rate and formulates the network selection problem as a convex optimization problem. We propose a distributed algorithm based on game theory that can reach optimal solution and speeds up convergence by simultaneously changing the BS for a set of UEs belonging to the same cluster. Simulation results are used to verify the performance of the proposed algorithm and explore the convergence speed. Specifically, in our simulations, the Modified BIR algorithm achieves convergence almost two times faster than the BIR algorithm, while the cluster-based BIR algorithm converges around 10 times faster than the original BIR algorithm. These findings highlight the significant improvement in network selection performance achieved by our proposed algorithms. [ABSTRACT FROM AUTHOR]

This document is a correction notice for an article titled "Network selection in heterogeneous dense networks based on user clustering" published in the journal Wireless Networks. The correction addresses an error in the online and PDF versions of the article, specifically in Section 6.1 regarding the uniqueness of Nash equilibrium. The corrected version of the equilibrium is provided in the notice. The correction has been made by the authors Alireza Ahadipour and Alireza Keshavarz-Haddad. Springer Nature, the publisher, remains neutral in terms of jurisdictional claims and institutional affiliations. [Extracted from the article]

Network coding and relay selection have attracted significant attention due to their performance improvement and spectral efficiency in wireless networks. In this work, we study joint relay selection and network coding cooperation schemes for M source-destination pairs assisted with N relays. We propose a new smart decode-and-forward max-min relay selection scheme based on the source-destination links' outage status and L selected relays to enhance the communication system diversity. Our objective is realize joint network coding and relay selection strategies for maximizing the expected number of recovered packets by the intended destinations in various situations. We analyze the performance of the proposed scheme and prove that the maximum diversity order of N + 1 is achieved when the number of active relays is at least ⌈ N + 1 3 ⌉ . Also, we show that the scheme can achieve a diversity order of 3L when L < ⌈ N + 1 3 ⌉ . Our analytical and simulation results indicate that the proposed scheme provides higher performance than the existing network coded cooperation schemes. [ABSTRACT FROM AUTHOR]

Physical layer network coding can significantly increase the throughput of two-way relay networks. However, fading phenomenon usually causes great asymmetry between two multiple access channels which can drastically degrade the performance of PNC protocol. To handle this issue, we propose an alternative detection method to improve the detection of physical layer network coded signal in multi-relay networks. First, we introduce single node detection to extract a single data from superimposed signal in the multiple access phase of physical layer network coding protocol. Then, we propose a relay selection method based on single node detection (RS-SND) and compare it to conventional relay selection method based on physical network coding (RS-PNC) in terms of average bit error rate for detection of XOR-ed data of the two source nodes. Closed-form expressions are derived for average BER of the proposed scheme and its asymptotic approximation at high signal to noise ratio. It is shown that RS-SND outperforms RS-PNC in Rayleigh fading channels when more than two relays are employed. Finally, we propose a relay selection-opportunistic physical layer network coding (RS-OPNC) method by dynamically selecting between RS-SND and RS-PNC schemes based on channel state information. Simulation results verify that RS-OPNC offers considerable SNR gain over conventional RS-PNC method. [ABSTRACT FROM AUTHOR]