Achievable Rate Regions and Performance Comparison of Half Duplex Bi-Directional Relaying Protocols

Kim, Sang Joon; Devroye, Natasha; Mitran, Patrick; Tarokh, Vahid

doi:10.1109/tit.2011.2165132

Cited by 147 publications

(129 citation statements)

References 31 publications

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“…Additionally, we have T0 (1, 2) = T * 0 (2, 1), which implies that T0 (2, 1) and T0 (1,2) have the same information of sNC. For detecting sNC, T0 is transformed into a vector of t, i.e.,…”

Section: ) Multi-antenna Pnc-specific Detectormentioning

confidence: 88%

“…As a result, T0 (1,1) scarcely contains any information of sNC which is multiplied by r11r * 12 . In such case that L is sufficiently large to neglect T0 (1, 1), T0 (1,2) thus contains almost all the information about s NC . As a beneficial result, we can investigate the performance of the multi-antenna PNC-specific detector of (34) by only examining the detection of sNC based on T0 (1, 2).…”

Section: ) Asymptotic Performance Analysismentioning

confidence: 99%

“…Finally, the PEP is given by Pr (φ k → φ k |h1, h2) = and |h φ k | 2 ≤ (|h 1 | + |h 2 |) 2 , we have …”

Section: Appendix a The Proof Of (17)mentioning

confidence: 99%

“…where a = (r (1)), b = (r (1)), and c = r (2). Based on the expression of m, we can calculation P σ 2 ln det mm (1987)(1988)(1989)(1990)(1991)(1992); and numerous Conference Best-Paper awards.…”

Section: Appendix D the Proof Ofmentioning

confidence: 99%

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Achieving Full Diversity in Multi-Antenna Two-Way Relay Networks via Symbol-Based Physical-Layer Network Coding

Cao

Gao

et al. 2013

IEEE Trans. Wireless Commun.

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Abstract-This paper considers physical-layer network coding (PNC) with M-ary phase-shift keying (MPSK) modulation in two-way relay channel (TWRC). A low complexity detection technique, termed symbol-based PNC (SPNC), is proposed for the relay. In particular, attributing to the outer product operation imposed on the superposed MPSK signals at the relay, SPNC obtains the network-coded symbol (NCS) straightforwardly without having to detect individual symbols separately. Unlike the optimal multi-user detector (MUD) which searches over the combinations of all users' modulation constellations, SPNC searches over only one modulation constellation, thus simplifies the NCS detection. Despite the reduced complexity, SPNC achieves full diversity in multi-antenna relay as the optimal MUD does. Specifically, antenna selection based SPNC (AS-SPNC) scheme and signal combining based SPNC (SC-SPNC) scheme are proposed. Our analysis of these two schemes not only confirms their full diversity performance, but also implies when SPNC is applied in multiantenna relay, TWRC can be viewed as an effective single-input multiple-output (SIMO) system, in which AS-PNC and SC-PNC are equivalent to the general AS scheme and the maximal-ratio combining (MRC) scheme. Moreover, an asymptotic analysis of symbol error rate (SER) is provided for SC-PNC considering the case that the number of relay antennas is sufficiently large.Index Terms-Physical-layer network coding (PNC), singleinput multiple-output (SIMO), two-way relay, multi-antenna relay, diversity analysis.

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“…Additionally, we have T0 (1, 2) = T * 0 (2, 1), which implies that T0 (2, 1) and T0 (1,2) have the same information of sNC. For detecting sNC, T0 is transformed into a vector of t, i.e.,…”

Section: ) Multi-antenna Pnc-specific Detectormentioning

confidence: 88%

Section: ) Asymptotic Performance Analysismentioning

confidence: 99%

“…Finally, the PEP is given by Pr (φ k → φ k |h1, h2) = and |h φ k | 2 ≤ (|h 1 | + |h 2 |) 2 , we have …”

Section: Appendix a The Proof Of (17)mentioning

confidence: 99%

Section: Appendix D the Proof Ofmentioning

confidence: 99%

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Achieving Full Diversity in Multi-Antenna Two-Way Relay Networks via Symbol-Based Physical-Layer Network Coding

Cao

Gao

et al. 2013

IEEE Trans. Wireless Commun.

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“…The channel is two-hop in the sense that the transmitters cannot hear each other directly, i.e., communication is possible only through the relay. We consider a decode-and-forward relay [14], [15] operating in …”

mentioning

confidence: 99%

Energy harvesting two-way half-duplex relay channel with decode-and-forward relaying: Optimum power policies

Tutuncuoglu

Varan

Yener

2013

2013 18th International Conference on Digital Signal Processing (DSP)

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Abstract-In this paper, a half-duplex two-way relay channel with energy harvesting nodes is considered. In particular, shortterm throughput maximization problems are solved using a decode-and-forward relay. Necessary properties of the optimal transmission policy are derived to gain insights into the optimal solution. Then, a subgradient descent algorithm is used to find the optimal policy. It is observed through simulations that energydeficient nodes act as bottlenecks on the achieved throughput. The achieved average throughput is observed to be close to the upper bound when nodes have no energy intermittency, and significantly higher than the throughput achieved by naïve policies. I. INTRODUCTIONWe consider a bidirectional relay channel with energy harvesting nodes. Efficient energy management is required when dealing with such nodes since they harvest energy out of external sources in an intermittent fashion.Recently, there has been considerable interest in energy harvesting networks [1]- [13]. A single-user wireless communication system is considered in [1] with random energy and data arrivals at the source. A piece-wise constant transmit power policy where the node transmits with constant power in intervals longest in duration while staying energy feasible, is shown to be optimal. Reference [2] considers the throughput maximization problem when the amount of energy that the battery can store is limited. The two problems in [1], [2] are observed to be related, and the optimal policy is shown to follow the shortest path within the feasible energy tunnel [2]. In [3], the extension of this model to fading channels is addressed. A single link scenario with an energy harvesting transmitter and receiver is analyzed in [4]. Multiple access, broadcast and interference channels with energy harvesting transmitters are considered in [5]-[9]. In addition to these multi-user setups, special cases of the energy harvesting relay channel problem have been studied in [10], [11], where it is noted that the problem becomes more challenging with a halfduplex relay and a data buffer at the relay.In this work, we consider the two-way relay channel with energy harvesting nodes. The channel is two-hop in the sense that the transmitters cannot hear each other directly, i.e., communication is possible only through the relay. We consider a decode-and-forward relay [14], [15] operating in

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On the hybrid relaying protocol for time division broadcasting

Zhang

2013

Trans. Emerging Tel. Tech.

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In this paper, a new hybrid relaying protocol is investigated for the time division broadcasting protocol. Instead of simply performing amplified-and-forward or decode-and-forward on the received information of terminals, a well-designed hybrid relaying protocol, in which network coding (i.e. the bit-wise XOR) and superposition coding are chosen reasonably to combine the information of the terminals, is employed by the relay to forward the information of terminals. The approximate outage probability for the proposed protocol is derived in closed form, and the tightness of the expression is verified by Monte Carlo simulations. Meanwhile, the achievable diversity of the proposed protocol is analysed. Through both analytic and simulation results, we show that the proposed protocol can always achieve full diversity of two through reasonably selecting between the combining methods at the relay. The performance improvement of the proposed protocol is demonstrated through comparisons with several existing protocols in two different scenarios: (1) the transmitted power of the relay is less than the transmitted power of terminal and (2) the transmitted power of the relay is greater than or equal to the transmitted power of terminal. Finally, an optimal power allocation scheme at the relay is presented for the proposed protocol to minimise the outage probability.

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Achievable Rate Regions and Performance Comparison of Half Duplex Bi-Directional Relaying Protocols

Cited by 147 publications

References 31 publications

Achieving Full Diversity in Multi-Antenna Two-Way Relay Networks via Symbol-Based Physical-Layer Network Coding

Achieving Full Diversity in Multi-Antenna Two-Way Relay Networks via Symbol-Based Physical-Layer Network Coding

Energy harvesting two-way half-duplex relay channel with decode-and-forward relaying: Optimum power policies

On the hybrid relaying protocol for time division broadcasting

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