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Extra info for Personal Satellite Services: 4th International ICST Conference, PSATS 2012, Bradford, UK, March 22-23, 2012. Revised Selected Papers
However, if more losses occur it may impede the receiver from recovering any single packet. In RLNC, coding across M packets requires M coded packets to recover any information. The key is to ﬁnd a trade-oﬀ between partial recovery of the data by using a sparser code (RLNC is a dense code) and the inherent loss in performance due to the sparser nature of the code (RLNC is delay-optimal in our example for large enough ﬁeld). , original packets are sent without coding once, while all additional packets are sent coded with RLNC .
B) Example of a network coding approach where coded packets are sent through each route. higher resiliency to packet losses. In our example, both cases may sustain up to two packets being lost. However, without coding when the same packet is lost in both routes, that packet is simply not recovered. Our coded example does not share this problem as diﬀerent linear combinations can be sent through each route, guaranteeing resilience to exactly 2 packet transmissions, since the receiver only requires 3 independent linear combinations (out of 5 that were generated) to recover the original data.
In the ﬁrst line, we have used the right hand side of (1) as the argument of Ui (·). , λα(1,C) /(1 − p(c1,1) ) for channel 1. We emphasize that to achieve this throughput performance using no NC would require a feedback mechanism that signals the correct reception of packets sent at each time slot. On the other hand, NC can achieve this performance naturally without requiring such an intensive feedback mechanism. In fact, feedback is required for other practical purposes, for example, i) to maintain reasonably sized queues at the sender while reducing decoding complexity , or ii) to enforce a required delay for decoding the packet at the receiver .