ARQ for Network Coding

A new coding and queue management algorithm is proposed for communication networks that employ linear network coding. The algorithm has the feature that the encoding process is truly online, as opposed to a block-by-block approach. The setup assumes a packet erasure broadcast channel with stochastic arrivals and full feedback, but the proposed scheme is potentially applicable to more general lossy networks with link-by-link feedback. The algorithm guarantees that the physical queue size at the sender tracks the backlog in degrees of freedom (also called the virtual queue size). The new notion of a node "seeing" a packet is introduced. In terms of this idea, our algorithm may be viewed as a natural extension of ARQ schemes to coded networks. Our approach, known as the drop-when-seen algorithm, is compared with a baseline queuing approach called drop-when-decoded. It is shown that the expected queue size for our approach is $O(\frac1{1-\rho})$ as opposed to $\Omega(\frac1{(1-\rho)^2})$ for the baseline approach, where $\rho$ is the load factor.Comment: Submitted to the 2008 IEEE International Symposium on Information Theory (ISIT 2008

Tiny Codes for Guaranteeable Delay

Future 5G systems will need to support ultra-reliable low-latency communications scenarios. From a latency-reliability viewpoint, it is inefficient to rely on average utility-based system design. Therefore, we introduce the notion of guaranteeable delay which is the average delay plus three standard deviations of the mean. We investigate the trade-off between guaranteeable delay and throughput for point-to-point wireless erasure links with unreliable and delayed feedback, by bringing together signal flow techniques to the area of coding. We use tiny codes, i.e. sliding window by coding with just 2 packets, and design three variations of selective-repeat ARQ protocols, by building on the baseline scheme, i.e. uncoded ARQ, developed by Ausavapattanakun and Nosratinia: (i) Hybrid ARQ with soft combining at the receiver; (ii) cumulative feedback-based ARQ without rate adaptation; and (iii) Coded ARQ with rate adaptation based on the cumulative feedback. Contrasting the performance of these protocols with uncoded ARQ, we demonstrate that HARQ performs only slightly better, cumulative feedback-based ARQ does not provide significant throughput while it has better average delay, and Coded ARQ can provide gains up to about 40% in terms of throughput. Coded ARQ also provides delay guarantees, and is robust to various challenges such as imperfect and delayed feedback, burst erasures, and round-trip time fluctuations. This feature may be preferable for meeting the strict end-to-end latency and reliability requirements of future use cases of ultra-reliable low-latency communications in 5G, such as mission-critical communications and industrial control for critical control messaging.Comment: to appear in IEEE JSAC Special Issue on URLLC in Wireless Network

On modelling network coded ARQ-based channels

Network coding (NC) has been an attractive research topic in recent years as a means of offering a throughput improvement, especially in multicast scenarios. The throughput gain is achieved by introducing an algebraic method for combining multiple input streams of packets which are addressing one output port at an intermediate node. We present a practical implementation of network coding in conjunction with error control schemes, namely the Stop-and-Wait (SW) and Selective Repeat (SR) protocols. We propose a modified NC scheme and apply it at an intermediate SW ARQ-based link to reduce ARQ control signals at each transmission. We further extend this work to investigate the usefulness of NC in the Butterfly multicast network which adopts the SR ARQ protocol as an error control scheme. We validate our throughput analysis using a relatively recent discrete-event simulator, SimEvents®. The results show that the proposed scheme offers a throughput advantage of at least 50% over traditional SW ARQ, and that this is particularly noticeable in the presence of high error rates. In the multicast network, however, simulation results show that when compared with the traditional scheme, NC-SR ARQ can achieve a throughput gain of between 2% and 96% in a low bandwidth channel and up to 19% in a high bandwidth channel with errors

Systematic-RLNC Based Secure and QoS Centric Routing Scheme for WSNs, Journal of Telecommunications and Information Technology, 2019, nr 4

In this paper a highly robust and efficient systematic-random linear network coding (S-RLNC) routing scheme is proposed. Unlike classic security systems, the proposed S-RLNC transmission model incorporates an advanced pre-coding and interleaving concept followed by multigeneration mixing (MGM) based data transmission to assure secure and QoS efficient communication. The proposed S-RLNC MGM based routing scheme exhibits higher throughput (99.5-100%) than the existing NCC-ARQ-WSN protocol (80%). Unlike NCC-ARQ-WSN, the proposed model incorporates multiple enhancements, such as RLNC concept, systematic network coding, MGM concept, IBF provision and redundant packet optimization. Combined, all these optimizations have strengthened the proposed S-RLNC MGM to exhibit optimum performance for secure and QoS-centric communication over WSN

Network Coding for Packet Radio Networks

We present methods for network-coded broadcast and multicast distribution of files in ad hoc networks of half-duplex packet radios. Two forms of network coding are investigated: fountain coding and random linear network coding. Our techniques exploit the broadcast nature of the wireless medium by permitting nodes to receive packets from senders other than their designated relays. File transfer is expedited by having multiple relays cooperate to forward the file to a destination. When relay nodes apply fountain coding to the file, they employ a simple mechanism to completely eliminate the possibility of sending duplicate packets to the recipients. It is not necessary for the nodes to transmit multiple packets simultaneously or to receive packets from multiple senders simultaneously. To combat the effects of time varying propagation loss on the links, each sender has the option to adapt the modulation format and channel-coding rate packet-by-packet by means of an adaptive transmission protocol. We use simulations to compare our network-coded file distributions with conventional broadcast and multicast techniques that use automatic repeat request (ARQ). Our numerical results show that the proposed strategies outperform ARQ-based file transfers by large margins for most network configurations. We also provide analytical upper bounds on the throughput of file distributions in networks comprising four nodes. We illustrate that our network-coded file-distribution strategies, when applied to the four-node networks, perform very close to the bounds

Efficient ARQ retransmission schemes for two-way relay networks.

In this paper, we investigate different practical automatic repeat request (ARQ) retransmission protocols for two-way wireless relay networks based on network coding (NC). The idea of NC is applied to increase the achievable throughput for the exchange of information between two terminals through one relay. Using NC, throughput efficiency is significantly improved due to the reduction of the number of retransmissions. Particularly, two improved NC-based ARQ schemes are designed based on go-back-N and selective-repeat (SR) protocols. The analysis of throughput efficiency is then carried out to find the best retransmission strategy for different scenarios. It is shown that the combination of improved NC-based SR ARQ scheme in the broadcast phase and the traditional SR ARQ scheme in the multiple access phase achieves the highest throughput efficiency compared to the other combinations of ARQ schemes. Finally, simulation results are provided to verify the theoretical analysis