On Diversity Order and Coding Gain of Multisource Multirelay Cooperative Wireless Networks With Binary Network Coding

Renzo, Marco Di; Iezzi, Michela; Graziosi, Fabio

doi:10.1109/tvt.2012.2229476

Cited by 51 publications

(51 citation statements)

References 53 publications

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“…If so, the diversity order would be the SV of the (N S + N R , N S ) block code. A similar result is obtained in [7] and [8], but it is applicable only to binary modulation and to binary NC. From [16] and [17], a wide variety of network codes may be constructed according to the specific network topology (N S and N R ), complexity (p) and performance/diversity (i.e., SV) requirements.…”

Section: Network Code Constructionsupporting

confidence: 76%

“…A special instance of network code is considered and a NCC-MRC demodulator is used at the destination. In [7] and [8], generic multisource multi-relay network topologies are studied, but the analysis and design are limited to binary NC and modulation. In [7], a hard-decision based demodulator is used at the destination.…”

Section: Introductionmentioning

confidence: 99%

“…In [7] and [8], generic multisource multi-relay network topologies are studied, but the analysis and design are limited to binary NC and modulation. In [7], a hard-decision based demodulator is used at the destination. On the other hand, a NCC-MRC demodulator is used in [8].…”

Section: Introductionmentioning

confidence: 99%

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On the achievable diversity of network-coded cooperative wireless networks

Renzo¹

2014

2014 International Conference on Advanced Technologies for Communications (ATC 2014)

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We introduce a mathematical framework to the analysis, design and optimization of Network-Coded Cooperative Diversity (NCCD) protocols. The analysis is applicable to relayaided protocols based on the error propagation model, which rely on appropriately designed diversity combining demodulators at the destination. Wireless networks with an arbitrary number of sources and relays are considered. Arbitrary multilevel modulations and network codes constructed over a non-binary Galois Field (GF) are analyzed. NCCD protocols based on repetition-based cooperation are investigated. The mathematical analysis shows that NCCD protocols are capable of achieving full-diversity if the GF size is sufficiently large and the network code satisfies the Maximum Distance Separable (MDS) property.

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Section: Network Code Constructionsupporting

confidence: 76%

Section: Introductionmentioning

confidence: 99%

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On the achievable diversity of network-coded cooperative wireless networks

Renzo¹

2014

2014 International Conference on Advanced Technologies for Communications (ATC 2014)

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“…If each source uses the relays in a roundrobin fashion, the price to pay for achieving full diversity may be an unacceptable reduction of the spectral efficiency [3]. To overcome this limitation, Network-Coded Cooperation (NCC) has recently been introduced, where the relays are capable of retransmitting all the packets received from the sources in a single time-slot, by capitalizing on the concept of Network Coding (NC) [4].…”

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confidence: 99%

On the Diversity of Network-Coded Cooperation With Decode-and-Forward Relay Selection

Duhamel

Renzo

2015

IEEE Trans. Wireless Commun.

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Abstract-In this paper, we study outage probability (OP) and diversity order of a M -source and N -relay wireless network that combines network coding (NC) and relay selection (RS). More specifically, a decode-and-forward (DF) relaying protocol is considered and the network-encoding vectors at the relays are assumed to constitute a maximum distance separable (MDS) code. Single relay selection (SRS) and multiple relay selection (MRS) protocols are investigated, where the best relay and the L best relays forward the network-coded packets to the destination, respectively. An accurate mathematical framework for computing the OP is provided and from its direct inspection the following conclusions on the achievable diversity are drawn: 1) the SRS protocol achieves diversity order equal to two regardless of M and N and 2) the MRS protocol achieves diversity order equal to L + 1 if L < M and equal to N + 1 if L ≥ M . These analytical findings are substantiated with the aid of Monte Carlo simulations, which also show that RS provides a better OP than NC based on repetition coding if L ≥ M .Index Terms-Network coding, cooperative networks, relay selection, outage probability, diversity order.

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“…Recently, the authors of [4] have derived the asymptotic Bit Error Rate (BER) of uncoded multiple-access relay networks, which provides insight onto the practical performance of NCC. The benefits introduced by NCC in multiple-source multiple-relay networks have recently been studied in [5]- [7]. These papers, however, do not take Forward Error Correction (FEC) coding into account, which is usually adopted in modern communication standards.…”

Section: Introductionmentioning

confidence: 99%

Performance Analysis of Network Coded Cooperation with Channel Coding and Adaptive DF-Based Relaying in Rayleigh Fading Channels

Duhamel

Renzo

2015

IEEE Signal Process. Lett.

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Abstract-Network Coded Cooperation (NCC) is known to provide full diversity order and high spectral efficiency for uncoded cooperative networks. However, the understanding of NCC applied to signals that have been protected by some Forward Error Correction (FEC) codes is still limited. This letter analyzes the diversity order attainable by NCC with channel coding (Coded-NCC) in a network topology with multiple sources, one relay and in the presence of fast Rayleigh fading. Due to the difficulty of characterizing the exchange of information between the network decoder and the channel decoder, iterative network and channel decoding algorithms are usually studied with the aid of simulations. In this letter, we overcome this limitation by proposing a near-optimal receiver that performs network decoding and channel decoding in a single decoding step of an equivalent super code. An upper bound and a tight approximation of the Bit Error Rate (BER) for all sources are derived. Based on the upper bound, we analytically show that Coded-NCC achieves a diversity order equal to , where is the minimum distance of the FEC code. This result generalizes those available for cooperative networks in the absence of channel coding (Uncoded-NCC), where the diversity order is equal to 2, as well as those available for coded transmission but without cooperation, where the diversity order is equal to .

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On Diversity Order and Coding Gain of Multisource Multirelay Cooperative Wireless Networks With Binary Network Coding

Cited by 51 publications

References 53 publications

On the achievable diversity of network-coded cooperative wireless networks

On the achievable diversity of network-coded cooperative wireless networks

On the Diversity of Network-Coded Cooperation With Decode-and-Forward Relay Selection

Performance Analysis of Network Coded Cooperation with Channel Coding and Adaptive DF-Based Relaying in Rayleigh Fading Channels

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