# Multiuser broadcast erasure channel with feedback and side information, and related index coding results

@article{Papadopoulos2013MultiuserBE, title={Multiuser broadcast erasure channel with feedback and side information, and related index coding results}, author={Athanasios Papadopoulos and Leonidas Georgiadis}, journal={2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton)}, year={2013}, pages={1325-1332} }

In this paper we consider the N-user broadcast erasure channel with public feedback and side information. Before the beginning of transmission, each receiver knows a function of the messages of some of the other receivers. This situation arises naturally in wireless and in particular cognitive networks where a node may overhear transmitted messages destined to other nodes before transmission over a given broadcast channel begins. We provide an upper bound to the capacity region of this system…

## 5 Citations

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## References

SHOWING 1-10 OF 29 REFERENCES

### Multiuser Broadcast Erasure Channel with Feedback and Side Information, and its Relation Index Coding

- Computer ScienceArXiv
- 2013

This paper considers the N-user broadcast erasure channel with public feedback and side information with an upper bound to the capacity region of this system and shows that the bound is tight for the case of two- user broadcast channels.

### Multiuser Broadcast Erasure Channel With Feedback—Capacity and Algorithms

- Computer ScienceIEEE Transactions on Information Theory
- 2013

A virtual-queue-based inter-session mixing coding algorithm is proposed, determine its rate region, and shows that it achieves capacity under certain conditions on channel statistics, assuming that instantaneous feedback is known to all users.

### Broadcasting With Side Information: Bounding and Approximating the Broadcast Rate

- Computer ScienceIEEE Transactions on Information Theory
- 2013

Using the information theoretic linear program introduced in Blasiak (2011), a polynomial-time algorithm is given for recognizing instances with β = 2 and pinpoint β precisely for various classes of graphs (e.g., various Cayley graphs of cyclic groups).

### On the Capacity of 1-to- $K$ Broadcast Packet Erasure Channels With Channel Output Feedback

- Computer ScienceIEEE Transactions on Information Theory
- 2012

Extensive numerical experiments show that the outer and inner bounds meet for almost all broadcast PECs encountered in practical scenarios and thus effectively bracket the capacity of general 1-to-K broadcast Pecs with COF.

### Two-Flow Capacity Region of the COPE Principle for Wireless Butterfly Networks With Broadcast Erasure Channels

- Computer ScienceIEEE Transactions on Information Theory
- 2013

This paper characterizes the full capacity region of the COPE principle for 2-flow wireless butterfly networks with broadcast packet erasure channels (PECs) and proposes a new class of linear network codes, named as the space-based linear network coding (SBLNC), that achieves the capacity outer bound.

### Capacity and Stable Throughput Regions for the Broadcast Erasure Channel With Feedback: An Unusual Union

- Computer ScienceIEEE Transactions on Information Theory
- 2013

A source node broadcasting to two receivers over a general erasure channel with receiver feedback exhibits an unusual relationship between capacity and stability regions and extends similar prior studies for multiple access channels.

### Broadcasting with Side Information

- Computer Science2008 49th Annual IEEE Symposium on Foundations of Computer Science
- 2008

It is shown that usage of large data blocks may strictly improve upon the trivial encoding which treats each bit in the block independently, and provided general bounds on betat, and it is proved that for any constant C there is an explicit broadcast setting in which beta = 2 but beta1> C.

### On the Index Coding Problem and Its Relation to Network Coding and Matroid Theory

- Computer ScienceIEEE Transactions on Information Theory
- 2010

It is shown that vectorlinear codes outperform scalar linear index codes and that vector linear codes are insufficient for achieving the optimum number of transmissions.

### On the capacity of 2-user 1-hop relay erasure networks — The union of feedback, scheduling, opportunistic routing, and network coding

- Computer Science2011 IEEE International Symposium on Information Theory Proceedings
- 2011

Numerical experiments show that for commonly encountered scenarios, the gap between the inner and the outer bounds is less than 0.2%, which demonstrates the effectiveness of the proposed bounding techniques.

### Random coding theorem for broadcast channels with degraded components

- Computer ScienceIEEE Trans. Inf. Theory
- 1973

This paper generalizes Cover's results on broadcast channels with two binary symmetric channels (BSC) to the class of degraded channels with N components, and shows a procedure to expurgate a good random broadcast code leading to a bound on the maximum probability of error.