Exact BER Analysis of Physical Layer Network Coding for Two-Way Relay Channels

Park, Moonseo; Choi, Il-Hwan; Ahn, Minki; Lee, Inkyu

doi:10.7840/kics.2012.37a.5.317

Cited by 10 publications

(15 citation statements)

References 9 publications

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“…Closed-form expressions for a tight upper and lower bound on the average SER at the relay and tight bounds on the average end-to-end BER for a PNC system in a Rayleigh fading channel were presented in [7]. An exact BER expression for a PNC system operating over a TWRC exhibiting fading was presented in [8] using Craig's polar coordinate form. A general framework for the symbol-errorrate (SER) performance analysis of PNC systems operating over AWGN channels was presented in [9].…”

Section: Introductionmentioning

confidence: 99%

User-Antenna Selection for Physical-Layer Network Coding Based on Euclidean Distance

Kumar

Cardiff

Flanagan

2019

IEEE Trans. Commun.

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In this paper, we present the error performance analysis of a multiple-input multiple-output (MIMO) physical-layer network coding (PNC) system with two different user-antenna selection (AS) schemes in asymmetric channel conditions. For the first antenna selection scheme (AS1), where the user-antenna is selected in order to maximize the overall channel gain between the user and the relay, we give an explicit analytical proof that for binary modulations, the system achieves full diversity order ofand N R denote the number of antennas at user A, user B and relay R respectively. We present a detailed investigation of the diversity order for the MIMO-PNC system with AS1 in the MA phase for any modulation order. A tight closedform upper bound on the average SER is also derived for the special case when N R = 1, which is valid for any modulation order. We show that in this case the system fails to achieve transmit diversity in the MA phase, as the system diversity order drops to 1 irrespective of the number of transmit antennas at the user nodes. Additionally, we propose a Euclidean distance (ED) based user-antenna selection scheme (AS2) which outperforms the first scheme in terms of error performance. Moreover, by deriving upper and lower bounds on the diversity order for the MIMO-PNC system with AS2, we show that this system enjoys both transmit and receive diversity, achieving full diversity order of min(N A , N B ) × N R in the MA phase for any modulation order. Monte Carlo simulations are provided which confirm the correctness of the derived analytical results.The authors are with

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Section: Introductionmentioning

confidence: 99%

User-Antenna Selection for Physical-Layer Network Coding Based on Euclidean Distance

Kumar

Cardiff

Flanagan

2019

IEEE Trans. Commun.

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“…The symbol error rate (SER) and bit error rate (BER) for BPSK and QPSK modulation was studied in [18] and [19], where a polar coordinates method proposed by [21] was exploited. Due to its complexity, the polar coordinates method is difficult to apply to high-level M -ary quadrature amplitude modulation (M -QAM) modulation.…”

Section: Introductionmentioning

confidence: 99%

Symbol error rate analysis for M-QAM modulated physical-layer network coding with phase errors

Huang

Song

Wang

et al. 2012

2012 IEEE 23rd International Symposium on Personal, Indoor and Mobile Radio Communications - (PIMRC)

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Abstract-Recent theoretical studies of physical-layer network coding (PNC) show much interest on high-level modulation, such as M -ary quadrature amplitude modulation (M -QAM), and most related works are based on the assumption of phase synchrony. The possible presence of synchronization error and channel estimation error highlight the demand of analyzing the symbol error rate (SER) performance of PNC under different phase errors. Assuming synchronization and a general constellation mapping method, which maps the superposed signal into a set of M coded symbols, in this paper, we analytically derive the SER for M -QAM modulated PNC under different phase errors. We obtain an approximation of SER for general M -QAM modulations, as well as exact SER for quadrature phase-shift keying (QPSK), i.e. 4-QAM. Afterwards, theoretical results are verified by Monte Carlo simulations. The results in this paper can be used as benchmarks for designing practical systems supporting PNC.Index Terms-Communication systems; phase error; physicallayer network coding (PNC); symbol error rate (SER) analysis; wireless networks.

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“…Other advantages of cooperative communications include extending the network coverage without requiring large transmitter powers [2]. Furthermore, with cooperative communications, it is possible to achieve two-way communications in which two nodes exchange independent information with each other with the help of a relay [2]- [7]. This is usually referred to as a two-way relay channel (TWRC).…”

mentioning

confidence: 99%

“…In [6], a maximum likelihood (ML) detector is used at the relay and the end-to-end (E2E) BER performance bounds for binary phase shift keying (BPSK) are derived. In [7], the nearest neighbor rule is used for detection at the relay, and the E2E BER performance for BPSK is analyzed.…”

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confidence: 99%

Joint Optimal Threshold-Based Relaying and ML Detection in Network-Coded Two-Way Relay Channels

Zeng

Ghrayeb

Hasna

2012

IEEE Trans. Commun.

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In this paper, we address the problem of joint optimal threshold-based relaying and maximum likelihood (ML) detection in network-coded cooperative systems. The purpose of using threshold-based relaying is to circumvent the impact of error propagation, which could lead to degrading the system diversity. For simplicity, we consider a simple network comprising two source nodes and one relay node. The relay operates in the decode-and-forward (DF) mode and employs binary network coding. The communication between the two source nodes is bidirectional, resulting in a two-way relay channel. We assume binary phase shift keying (BPSK) signaling. For a given loglikelihood ratio (LLR)-based threshold used at the relay, we derive the ML detector at the destination assuming that the destination has full knowledge of the locations of the blocked bits at the relay. We then derive an expression for the corresponding end-to-end (E2E) bit error rate (BER) performance, which is used to find the optimal threshold. We also derive two practical discontinuous transmission detectors at the destination for the purpose of identifying whether the relay is forwarding or not. The performance of one of the detectors is similar to that when the destination knows the locations of the blocked bits, whereas the performance of the other detector suffers some performance degradation. We present several numerical examples that illustrate the efficacy of the proposed scheme as compared to existing schemes.Index Terms-Cooperative networks, decode-and-forward, error propagation, ML detection, network coding, threshold-based relaying, two-way relay channel.

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Exact BER Analysis of Physical Layer Network Coding for Two-Way Relay Channels

Cited by 10 publications

References 9 publications

User-Antenna Selection for Physical-Layer Network Coding Based on Euclidean Distance

User-Antenna Selection for Physical-Layer Network Coding Based on Euclidean Distance

Symbol error rate analysis for M-QAM modulated physical-layer network coding with phase errors

Joint Optimal Threshold-Based Relaying and ML Detection in Network-Coded Two-Way Relay Channels

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