Outage Probability and Ergodic Capacity Analysis for Two-Way Relaying System with Different Relay Selection Protocols

The outage probability and ergodic capacity analysis for decode-and-forward two-way relaying system is investigated in this paper. First, the exact expressions (or bounds) of outage probability, ergodic capacity and average bidirectional ergodic capacity (ABEC) for max–min relay selection, random relay selection and direct transmission protocols are derived through theoretic analysis, and performance comparisons among different relay selection protocols are developed. Then a novel maximum average bidirectional mutual information (MABM) relay selection protocol is proposed and analyzed. Simulation results demonstrate that the derived analytical results fit well with Monte-Carlo simulations. The proposed MABM protocol can always achieve larger ABEC than other protocols while keeping low outage probability, and the MABM and max–min protocols in this paper can always achieve better performance than the max–min selection and max-sum selection in Krikidis (IEEE Trans Veh Technol 59(9):4620–4628, 2010). In addition, outage probability, ergodic capacity and ABEC performance of the proposed protocol become worse while distance becomes larger.     

放大转发中继网络中的一种中继选择方案

提出了一种放大转发网络中的中继选择方案,假设目的节点配置多个天线,源节点和所有中继节点都配置单个天线,方案选择一组中继同时在相同的频带上放大转发接收到的源节点信息以最大化接收信噪比。与只择一个最优中继的方案相比,方案在保持满分集阶数的情况下获得了更高的中断容量和更优的误符号率性能。与只选择一个最优中继的方案相比,在0.000 01的误符号率水平上,少需要发射功率1.6 dB。     

More Accurate ASER Bound for Opportunistic Amplify-and-Forward Relay Systems

In this letter, we have derived more accurate average symbol error rate (ASER) for opportunistic amplify-and-forward (OAF) relay systems with for M-phase shift keying (M-PSK) over rayleigh fading channels. At first, the exact ASER is expressed without any approximation. In addition, we have derived the modified moment generating function (MGF) by extension of the probability density function (PDF) of the order statistic to the given relay’s selection probability for OAF relay system. Then, the ASER bound to be more accurate and another ASER form of previous researches are respectively derived by utilizing the modified MGF. Furthermore, the accuracy of derived ASER bound is analytically confirmed by comparison with each other. Simulation results are finally presented to validate the analysis.     

Performance Analysis of Incremental Amplify-and-Forward Relaying Protocols with Nth Best Partial Relay Selection Under Interference Constraint

In this paper, we investigate two incremental amplify-and-forward relaying protocols in cognitive underlay networks. In the proposed protocols, whenever the secondary destination cannot receive the secondary source’s signal successfully, it requests a retransmission from one of M secondary relays. In the first protocol, we assume that a secondary relay with the Nth best channel gain to the secondary source is used to forward the received signal to the secondary destination. In the second protocol, relying on the quality of channels between the secondary relay and secondary destination and between the secondary relay and primary user, the Nth best relay is chosen for the retransmission. We derive exact closed-form expressions of the outage probability and average number of time slots for both protocols over Rayleigh fading channel. Finally, these mathematical expressions are then verified by Monte Carlo simulations.     

用于机会中继的一种最佳中继选择算法

通过使用具有最佳瞬时信道质量的单个中继进行协作分集,机会中继可以获得与更为复杂的空时编码协作通信相同的分集增益。但是,随着可选择中继节点数的增加,最佳中继选择的失败概率会明显上升。文章提出了一种新的实用最佳中继选择算法,要求源站向最佳中继发送选择确认消息,竞争中继则在冲突发生后进行退避。仿真结果表明,采用新算法可以将选择失败的概率降低2～3个数量级,而增加的开销尚不到2％。     

Performance Analysis for Two-Way Relaying Networks with and Without Relay Selection

In this paper, we consider a two-way relaying network where two users communicate with each other with the help of multiple relays. Specifically, we first investigate the performance of a all-relay participating network with the amplify-and-forward relaying protocol. Based on the moment generating function-based method, we derive some tight bounds for the outage probability and bit-error rate performance. For comparison purpose, we then present a performance analysis for the relay selection scheme. Finally, numerical results are provided to verify our analysis.     

Opportunistic Relaying for MIMO Amplify-and-Forward Cooperative Networks

We consider a wireless relay network with multiple antenna terminals over Rayleigh fading channels, and apply distributed space-time coding (DSTC) in amplify-and-forward (A&F) mode. The A&F scheme is used in a way that each relay transmits a scaled version of the linear combination of the received symbols. It turns out that, combined with power allocation in the relays, A&F DSTC results in an opportunistic relaying scheme, in which only the best relay is selected to retransmit the source’s space-time coded signal. Furthermore, assuming the knowledge of source-relay CSI at the source node, we design an efficient power allocation which outperforms uniform power allocation across the source antennas. Next, assuming M-PSK or M-QAM modulations, we analyze the performance of the proposed cooperative diversity transmission schemes in a wireless relay networks with the multiple-antenna source and destination. We derive the probability density function (PDF) of the received SNR at the destination. Then, the PDF is used to determine the symbol error rate (SER) in Rayleigh fading channels. We derived closed-form approximations of the average SER in the high SNR scenario, from which we find the diversity order of system R min{N _s , N _d }, where R, N _s , and N _d are the number of the relays, source antennas, and destination antennas, respectively. Simulation results show that the proposed system obtain more than 6 dB gain in SNR over A&F MIMO DSTC for BER 10^?4, when R = 2, N _s  = 2, and N _d  = 1.     

Secure Relay Selection of Cognitive Two-Way Denoise-and-Forward Relaying Networks

In this paper, secrecy performance of a cognitive two-way denoise-and-forward relaying network consisting of two primary user (PT and PD) nodes, two secondary source (SA and SB) nodes, multiple secondary relay (\({\textit{SR}}_i\)) nodes and an eavesdropper (E) node is considered, where SA and SB exchange their messages with the help of one of the relays using a two-way relaying scheme. The eavesdropper tries to wiretap the information transmitted between SA and SB. To improve secrecy performance of the network, two relay selection schemes called maximum sum rate and maximum secrecy capacity based relay selection (MSRRS and MSCRS) are proposed and analyzed in terms of intercept probability. It is proved that the MSRRS and MSCRS schemes have the same secrecy performance. Two parameters called average number gain and average cost gain are proposed to show the performance of the proposed relay selection schemes. Numerical results demonstrated that with 10 relay nodes, the proposed relay selection schemes can achieve, respectively, 3.7 dB and 1.9 dB’s improvements in terms of the reduced intercept probability and the enhanced secrecy capacity compared to the traditional round-robin scheme.     

Relay Selection in Two-Way Cooperative Systems

In this paper, we present a design of two-way communication system with relay selection in two-way cooperative system over cascaded Nakagami- \(m\) fading channels. In the proposed scheme, in which all terminals are in motion as mobiles or vehicles, two users first broadcast their information to relays. Then, a single relay with a minimum sum symbol error rate (SER) will be selected to broadcast the received signals back to the sources. In other words, in the selection process, we investigate a simple suboptimal min-max criterion for relay selection, where a single relay that minimizes the maximum SER of two source nodes will be selected. Specifically, we have derived expressions of cumulative distribution function and moment generating function of end-to-end signal-to-noise ratio. By using these expressions, we have analyzed the performance of considered system in terms of outage probability and SER expression. Numerical and simulation results show the validity of the proposed mathematical analysis and point out the confirmation of the analytical results.     

Performance Analysis of Two-Way Hybrid Decode-and-Amplify Relaying Scheme with Relay Selection for Secondary Spectrum Access

In this paper, we propose and analyze the outage probability of a two-way hybrid decode-and-amplify relaying scheme with relay selection for secondary spectrum access. In this scheme, a secondary network is co-located and uses the same spectrum as the primary network. The primary network is comprised of two primary terminals that attempt to transmit signals to one another; the secondary network is comprised of M secondary transmitter-receiver pairs (ST-SR). One of the secondary transmitters chosen to cooperate with the primary network uses a hybrid decode-and-amplify forward technique in order to relay primary and secondary signals. We derive expressions for the outage probability of the primary network as well as the secondary network over a Rayleigh fading channel. Simulation results are presented to verify theoretical analyses and to compare the performance of the proposed protocol to that of a two-way direct transmission protocol.     

Differential Modulation and Relay Selection With Detect-and-Forward Cooperative Relaying

In this paper, we consider the bit error rate (BER) performance analysis of a cooperative relay communication system with differential modulation and selective relaying, where the best relay is selected to forward the signals from the source to the destination. The advantage of differential modulation is that it allows noncoherent detection without requiring the full channel-state information (CSI), as obtaining CSI in a cooperative communication system at each node is a complicated and costly task. We consider a simple detect-and-forward (DetF) relay system and take into account the effect of imperfect detection at the relay. We derive the average bit error probability of the DetF relay scheme by using the closed-form relay link signal-to-noise ratio (SNR). Based on the analysis, we show that the proposed system with $N$ relay nodes and the simple relay selection can achieve a total diversity gain of $N + 1$. The BER performance of the system is also evaluated by simulation. It is shown that the analysis matches well with the simulation results.      

Differential Quadrature Amplitude Modulation and Relay Selection with Detect-and-Forward Cooperative Relaying

In this paper, we consider a cooperative communication system with differential modulation and relay-selection (DM–RS) in multi-relay networks, where the best relay is selected to forward the source node’s signal to the destination node with detect-and-forward (DetF) protocol. Unlike the conventional DM–RS–DetF scheme using phase shift keying (PSK), we propose a DM–RS–DetF scheme with quadrature amplitude modulation (QAM). Since the differential PSK scheme cannot be applied to the QAM constellations directly, we firstly develop the modulation and demodulation methods for the differential QAM scheme. Then, we derive a closed-form approximation and an upper bound of the symbol error rate for the DQAM–RS–DetF scheme over independent Rayleigh fading channels, by using the approximated signal-to-noise ratio of the equivalent relay link. Simulations results verify the validity of the analytical results and further show that when the modulation order $M>8$ in Rayleigh fading channels, the DQAM–RS–DetF scheme outperforms the DPSK–RS–DetF scheme.     

无线协同中继系统中的自适应调制策略

协同中继技术由于其较易实现及在提高系统性能方面的有效性,成为未来移动通信系统中一项很有竞争力的技术。目前的自适应调制研究局限在放大转发系统的自适应,或者只针对部分链路进行自适应。本研究针对译码转发系统进行了自适应调制策略的设计,并且综合考虑各条链路的信道状况进行发送端与中继端调制方式的自适应选择。通过互信息的方式对目的端不同调制方式的合并信号进行性能预测,以用于调制方式的选择。仿真结果表明本文提出的自适应调制策略能够有效的提高系统吞吐量。     

Cyclic Prefix Update for OFDM Amplify-and-Forward Relay Systems

We consider half-duplex amplify-and-forward (AF) relaying for increasing network coverage and spectrum efficiency of an OFDM-based cellular system. Due to the fact that OFDM symbols are transmitted over two serial multipath channels (i.e., the source-relay link and the relay-destination link) via AF relaying, the time spread of the received signal at destination nodes is introduced by both source-relay and relay-destination channels. Consequently, cyclic prefix (CP) added at the source node should have a much longer length than that of one-hop OFDM transmission to avoid inter-symbol interference. However, the increased CP length leads to the reduced spectrum efficiency of OFDM communications. In this paper, we propose a novel CP update scheme for achieving efficient and reliable multi-hop transmission in OFDM-based AF relay systems. By enabling the additional CP discarding and CP re-adding functionalities to relay nodes, the proposed scheme significantly reduces the required CP length without causing extra loss in the bit error rate performance, and therefore improves achievable end-to-end throughput and spectrum utilization efficiency. Simulation results confirm the theoretical analysis and illustrate the effectiveness of the proposed scheme.     

Exact Outage Probability of Two-Way Decode-and-Forward Scheme with Opportunistic Relay Selection Under Physical Layer Security

The combination of cooperative communication and physical layer security is an effective approach to overcome the disadvantages of the fading environment as well as to increase the security capacity of the wireless network. In this paper, we propose a two-way decode-and-forward scheme with a relay selection method. In the proposed protocol, two source nodes communicate with each other with the help of intermediate relays under the eavesdropping of another wireless node, called the eavesdropper node. The best relay, which is chosen by the max–min strategy, uses digital network coding to enhance secure communication and spectrum use efficiency. The system performance is analyzed and evaluated in terms of the exact closed-form outage probability over Rayleigh fading channels. The Monte-Carlo simulation results are presented to verify the theoretical analysis. Finally, the proposed protocol is compared with the two-way protocol, which does not use digital network coding.     

Optical Spatial Modulation with Diversity Combiner in Dual-Hops Amplify-and-Forward Relay Systems Over Atmospheric Impairments

Wireless Personal Communications - In this paper, we analyzed a dual-hop optical spatial modulation channel state information-assisted amplified and forward (AF) relay system with spatial diversity...     

Greedy Algorithm Applied to Relay Selection for Cooperative Communication Systems in Amplify-and-Forward Mode

Using a relaying system to provide spatial diversity and improve the system performance is a tendency in the wireless cooperative communications. Amplify-and-forward(AF) mode with a low complexity is easy to be implemented. Under the consideration of cooperative communication systems, the scenario includes one information source, M relay stations and N destinations. This work proposes a relay selection algorithm in the Raleigh fading channel. Based on the exhaustive search method, easily to realize, the optimal selection scheme can be found with a highly complicated calculation. In order to reduce the computational complexity, an approximate optimal solution with a greedy algorithm applied for the relay station selection is proposed. With different situations of the communication systems, the performance evaluation obtained by both the proposed algorithm and the exhaustive search algorithm are given for comparison. It shows the proposed algorithm could provide a solution approach to the optimal one.     

Opportunistic Relay Selection in Cooperative Systems With Dirty-Paper Coding

This paper investigates an optimization of the conventional relay selection for multirelay environments. In contrast with previously reported selection schemes, where a selected relay accesses the channel in a dedicated cooperative slot, the proposed scheme recovers the bandwidth loss of the half-duplex constraint by allowing two relays to simultaneously access the channels. Based on an appropriate dirty-paper coding (DPC) technique among relays, the proposed scheme enables a relay to establish communication with the destination at the same time that another relay forwards the data from the source. It is proven that the interplay between relay selection and the superposition DPC weight factor provides a tradeoff between relaying and new data performance. Hence, an appropriate codesign of the superposition DPC parameter and opportunistic relay selection can achieve efficient communication for the new data without affecting the relaying performance. The proposed scheme is compared with conventional relaying approaches, and its enhancements are provided through theoretical studies and numerical results.      

Comparison of Tightly Power-Constrained Performances for Opportunistic Amplify-and-Forward Relaying with Partial or Full Channel Information

In this letter, we present exact statistical expressions for opportunistic amplify-and-forward (AF) relaying under a tight power constraint, where a best relaying node is selected based on partial channel information (PCI) or full channel information (FCI), respectively. Based on the statistical analysis, we compare PCI with FCI strategy in terms of outage and average capacity. Numerical investigation shows that, as the number of candidate relays increases, the performances with FCI are continuously improved while those improvements with PCI are bounded. However, for the small number of the relays at a low SNR region, PCI and FCI achieve very similar performances. The numerical results also show that the relaxed power constraint that ignores the noise power at the relay leads to significant deviations from the tight constraint, which is the more reasonable one, especially in computing the outage with FCI.     

Power Allocation for Amplify-and-Forward Relaying with Correlated Shadowing

Power allocation is a key technique to exploit the benefits of cooperative relaying. In this paper, we investigate the effect of shadowing on the power allocation of amplify-and-forward cooperative relaying systems. Considering the joint effects of path loss, correlated shadowing and flat Rayleigh fading, the approximate outage probability at high signal-to-noise ratio (SNR) is first derived. Then we solve the power allocation problem by minimizing the approximate outage probability subject to a total power constraint. It is shown by the analytical results that the correlation coefficients and the standard deviations of shadowing have significant impacts on the power allocation. The simulation results show that the proposed power allocation scheme yields about 2 dB SNR gain compared to the equal power allocation in the high SNR regime.