Diversity analysis, code design, and tight error rate lower bound for binary joint network-channel coding

Joint network-channel codes (JNCC) can improve the performance of communication in wireless networks, by combining, at the physical layer, the channel codes and the network code as an overall error-correcting code. JNCC is increasingly proposed as an alternative to a standard layered construction, such as the OSI-model. The main performance metrics for JNCCs are scalability to larger networks and error rate. The diversity order is one of the most important parameters determining the error rate. The literature on JNCC is growing, but a rigorous diversity analysis is lacking, mainly because of the many degrees of freedom in wireless networks, which makes it very hard to prove general statements on the diversity order. In this article, we consider a network with slowly varying fading point-to-point links, where all sources also act as relay and additional non-source relays may be present. We propose a general structure for JNCCs to be applied in such network. In the relay phase, each relay transmits a linear transform of a set of source codewords. Our main contributions are the proposition of an upper and lower bound on the diversity order, a scalable code design and a new lower bound on the word error rate to assess the performance of the network code. The lower bound on the diversity order is only valid for JNCCs where the relays transform only two source codewords. We then validate this analysis with an example which compares the JNCC performance to that of a standard layered construction. Our numerical results suggest that as networks grow, it is difficult to perform significantly better than a standard layered construction, both on a fundamental level, expressed by the outage probability, as on a practical level, expressed by the word error rate

Distributed Decoding in Cooperative Communications

In this paper, we present a novel relaying strategy called distributed and partial decoding. This strategy can be viewed as a variation of the decode and forward with the difference that the relay partially decodes the signal, re-transmits it to the destination, and the destination continues the decoding. By distributing the decoding process between the relay and the destination, the relay uses less processing power and less time. This is very suitable for practical applications in which relays are battery-operated (such as handsets) and do not want to use all their battery power on relaying the data of other users.Nokia CorporationNational Science Foundatio

Alpha Entanglement Codes: Practical Erasure Codes to Archive Data in Unreliable Environments

Data centres that use consumer-grade disks drives and distributed peer-to-peer systems are unreliable environments to archive data without enough redundancy. Most redundancy schemes are not completely effective for providing high availability, durability and integrity in the long-term. We propose alpha entanglement codes, a mechanism that creates a virtual layer of highly interconnected storage devices to propagate redundant information across a large scale storage system. Our motivation is to design flexible and practical erasure codes with high fault-tolerance to improve data durability and availability even in catastrophic scenarios. By flexible and practical, we mean code settings that can be adapted to future requirements and practical implementations with reasonable trade-offs between security, resource usage and performance. The codes have three parameters. Alpha increases storage overhead linearly but increases the possible paths to recover data exponentially. Two other parameters increase fault-tolerance even further without the need of additional storage. As a result, an entangled storage system can provide high availability, durability and offer additional integrity: it is more difficult to modify data undetectably. We evaluate how several redundancy schemes perform in unreliable environments and show that alpha entanglement codes are flexible and practical codes. Remarkably, they excel at code locality, hence, they reduce repair costs and become less dependent on storage locations with poor availability. Our solution outperforms Reed-Solomon codes in many disaster recovery scenarios.Comment: The publication has 12 pages and 13 figures. This work was partially supported by Swiss National Science Foundation SNSF Doc.Mobility 162014, 2018 48th Annual IEEE/IFIP International Conference on Dependable Systems and Networks (DSN

System Development and VLSI Implementation of High Throughput and Hardware Efficient Polar Code Decoder

Polar code is the first channel code which is provable to achieve the Shannon capacity. Additionally, it has a very good performance in terms of low error floor. All these merits make it a potential candidate for the future standard of wireless communication or storage system. Polar code is received increasing research interest these years. However, the hardware implementation of hardware decoder still has not meet the expectation of practical applications, no matter from neither throughput aspect nor hardware efficient aspect. This dissertation presents several system development approaches and hardware structures for three widely known decoding algorithms. These algorithms are successive cancellation (SC), list successive cancellation (LSC) and belief propagation (BP). All the efforts are in order to maximize the throughput meanwhile minimize the hardware cost. Throughput centric successive cancellation (TCSC) decoder is proposed for SC decoding. By introducing the concept of constituent code, the decoding latency is significantly reduced with a negligible decoding performance loss. However, the specifically designed computation unites dramatically increase the hardware cost, and how to handle the conventional polar code sets and constituent codes sets makes the hardware implementation more complicated. By exploiting the natural property of conventional SC decoder, datapaths for decoding constituent codes are compatibly built via computation units sharing technique. This approach does not incur additional hardware cost expect some multiplexer logic, but can significantly increase the decoding throughput. Other techniques such as pre-computing and gate-level optimization are used as well in order to further increase the decoding throughput. A specific designed partial sum generator (PSG) is also investigated in this dissertation. This PSG is hardware efficient and timing compatible with proposed TCSC decoder. Additionally, a polar code construction scheme with constituent codes optimization is also presents. This construction scheme aims to reduce the constituent codes based SC decoding latency. Results show that, compared with the state-of-art decoder, TCSC can achieve at least 60% latency reduction for the codes with length n = 1024. By using Nangate FreePDK 45nm process, TCSC decoder can reach throughput up to 5.81 Gbps and 2.01 Gbps for (1024, 870) and (1024, 512) polar code, respectively. Besides, with the proposed construction scheme, the TCSC decoder generally is able to further achieve at least around 20% latency deduction with an negligible gain loss. Overlapped List Successive Cancellation (OLSC) is proposed for LSC decoding as a design approach. LSC decoding has a better performance than LS decoding at the cost of hardware consumption. With such approach, the l (l > 1) instances of successive cancellation (SC) decoder for LSC with list size l can be cut down to only one. This results in a dramatic reduction of the hardware complexity without any decoding performance loss. Meanwhile, approaches to reduce the latency associated with the pipeline scheme are also investigated. Simulation results show that with proposed design approach the hardware efficiency is increased significantly over the recently proposed LSC decoders. Express Journey Belief Propagation (XJBP) is proposed for BP decoding. This idea origins from extending the constituent codes concept from SC to BP decoding. Express journey refers to the datapath of specific constituent codes in the factor graph, which accelerates the belief information propagation speed. The XJBP decoder is able to achieve 40.6% computational complexity reduction with the conventional BP decoding. This enables an energy efficient hardware implementation. In summary, all the efforts to optimize the polar code decoder are presented in this dissertation, supported by the careful analysis, precise description, extensively numerical simulations, thoughtful discussion and RTL implementation on VLSI design platforms