Flexible Network Codes Design for Cooperative Diversity

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

doi:10.5772/16045

Cited by 3 publications

(5 citation statements)

References 31 publications

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“…2-5. The following conclusions can be drawn: i) our analytical model overlaps with Monte Carlo simulations, thus confirming our findings in terms of achievable performance and diversity analysis; ii) it can be noticed that the analytical frameworks for all the Benchmark receivers are lower bound for the performance in the presence of decoding errors at the relays; iii) it is confirmed that Scenario 2 is very robust to error propagation, as the ABEP of MDD, H-MLD, and S-MLD is asymptotically the same as the ABEP of the related Benchmark detectors; iv) as expected, S-MLD is better than H-MLD, which is, in turn, better than MDD (see [19,); and v) the achievable diversity does not depend only on the adopted network code, but also on the detector used at the destination. In particular, no cross-layer interaction between physical and network layers results in a receiver design (MDD) that cannot fully exploit the diversity provided by the network code.…”

Section: Numerical Resultssupporting

confidence: 66%

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Network Code Design from Unequal Error Protection Coding: Channel-Aware Receiver Design and Diversity Analysis

Iezzi

Renzo

Graziosi

2011

2011 IEEE International Conference on Communications (ICC)

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Abstract-In this paper, we propose Unequal Error Protection (UEP) coding theory as a viable and flexible method for the design of network codes for multi-source multi-relay cooperative networks. As opposed to state-of-the-art solutions available for improving the diversity gain of cooperative networks, it is shown that the proposed method allows us to assign each source node the desired diversity gain, according to, e.g., the requested Qualityof-Service (QoS) or power constraints. The diversity advantage of the UEP-based network code design over conventional relay-only and XOR-only solutions is shown for the canonical two-source two-relay network. Furthermore, Maximum-Likelihood (ML-) optimum channel-aware receivers for multi-source multi-relay cooperative networks are developed, and their Average Bit Error Probability (ABEP) and achievable diversity over fading channels analytically studied. It is shown that only a cross-layer (joint) implementation of de-modulation and network-decoding allows the destination to fully exploit the diversity inherently provided by the distributed network code. Finally, analytical derivations and findings are substantiated via Monte Carlo simulations.

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Section: Numerical Resultssupporting

confidence: 66%

“…Due to space constraints, numerical results for the MDD receiver are not shown. The interested reader can find some numerical examples about this receiver in [19].…”

Section: Numerical Resultsmentioning

confidence: 99%

Network Code Design from Unequal Error Protection Coding: Channel-Aware Receiver Design and Diversity Analysis

Iezzi

Renzo

Graziosi

2011

2011 IEEE International Conference on Communications (ICC)

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“…However, there are distinct minimum distances (defined as separation vector in [15]) for different data symbols, whenever we are interested in performance of individual symbols that may originate from different source nodes as with NC. This idea is exemplified in [12] in the context of NC for simple networks. We will generalize and use this idea for investigating diversity orders assigned to source symbols in a network.…”

Section: Linear Block Codes Used As Network Codesmentioning

confidence: 99%

“…A study based on flexible network codes in a two-source two-relay system with emphasis on unequal error protection is [12], where authors propose a suboptimal detection rule (distributed minimum distance detector) that is known to result in diversity order loss. Note that our model is more general, and captures full diversity due to use of sum-product detector with relay reliability information.…”

Section: Introductionmentioning

confidence: 99%

Practical wireless network coding and decoding methods for multiple unicast transmissions

Aktas¹,

Yılmaz²,

Aktas³

2012

2012 IEEE Wireless Communications and Networking Conference (WCNC)

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Abstract-We propose a simple yet effective wireless network coding and decoding technique. It utilizes spatial diversity through cooperation between nodes which carry out distributed encoding operations dictated by generator matrices of linear block codes. For this purpose, we make use of greedy codes over the binary field and show that desired diversity orders can be flexibly assigned to nodes in a multiple unicast network, contrary to the previous findings in the literature. Furthermore, we present the optimal detection rule for the given model that accounts for intermediate node errors and suggest a network decoder using the sum-product algorithm. The proposed sum-product detector exhibits near optimal performance.

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“…A study based on flexible network codes in a two-source two-relay system with emphasis on unequal error protection is [13], where authors propose a suboptimal detection rule (distributed minimum distance detector) that is known to result in diversity order loss. Our scheme captures full diversity due to the use of the SP detector with intermediate node reliability information.…”

Section: Introductionmentioning

confidence: 99%

Practical Methods for Wireless Network Coding With Multiple Unicast Transmissions

Aktas

Yılmaz

Aktas

2013

IEEE Trans. Commun.

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We propose a simple yet effective wireless network coding and decoding technique for a multiple unicast network. It utilizes spatial diversity through cooperation between nodes which carry out distributed encoding operations dictated by generator matrices of linear block codes. In order to exemplify the technique, we make use of greedy codes over the binary field and show that the arbitrary diversity orders can be flexibly assigned to nodes. Furthermore, we present the optimal detection rule for the given model that accounts for intermediate node errors and suggest a low-complexity network decoder using the sum-product (SP) algorithm. The proposed SP detector exhibits near optimal performance. We also show asymptotic superiority of network coding over a method that utilizes the wireless channel in a repetitive manner without network coding (NC) and give related rate-diversity trade-off curves. Finally, we extend the given encoding method through selective encoding in order to obtain extra coding gains. Index TermsWireless network coding, cooperative communication, linear block code, sum-product decoding, unequal error protection

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Flexible Network Codes Design for Cooperative Diversity

Cited by 3 publications

References 31 publications

Network Code Design from Unequal Error Protection Coding: Channel-Aware Receiver Design and Diversity Analysis

Network Code Design from Unequal Error Protection Coding: Channel-Aware Receiver Design and Diversity Analysis

Practical wireless network coding and decoding methods for multiple unicast transmissions

Practical Methods for Wireless Network Coding With Multiple Unicast Transmissions

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