Capacity of 1-to-K Broadcast Packet Erasure Channels with Channel Output Feedback (Full Version)

Computer Science – Information Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

29 pages, 10 figures. This manuscript was submitted to IEEE Trans IT in May 2010

Scientific paper

This paper focuses on the 1-to-K broadcast packet erasure channel (PEC), which is a generalization of the broadcast binary erasure channel from the binary symbol to that of arbitrary finite fields GF(q) with sufficiently large q. We consider the setting in which the source node has instant feedback of the channel outputs of the K receivers after each transmission. The capacity region of the 1-to-K PEC with COF was previously known only for the case K=2. Such a setting directly models network coded packet transmission in the downlink direction with integrated feedback mechanisms (such as Automatic Repeat reQuest (ARQ)). The main results of this paper are: (i) The capacity region for general 1-to-3 broadcast PECs, and (ii) The capacity region for two types of 1-to-$K$ broadcast PECs: the symmetric PECs, and the spatially independent PECs with one-sided fairness constraints. This paper also develops (iii) A pair of outer and inner bounds of the capacity region for arbitrary 1-to-K broadcast PECs, which can be easily evaluated by any linear programming solver. The proposed inner bound is proven by a new class of intersession network coding schemes, termed the packet evolution schemes, which is based on the concept of code alignment in GF(q) that is in parallel with the interference alignment techniques for the Euclidean space. 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.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Capacity of 1-to-K Broadcast Packet Erasure Channels with Channel Output Feedback (Full Version) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Capacity of 1-to-K Broadcast Packet Erasure Channels with Channel Output Feedback (Full Version), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Capacity of 1-to-K Broadcast Packet Erasure Channels with Channel Output Feedback (Full Version) will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-608793

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.