Title
Layered Constructions for Low-Delay Streaming Codes.
Abstract
We study error correction codes for multimedia streaming applications where a stream of source packets must be transmitted in real-time, with in-order decoding, and strict delay constraints. In our setup, the encoder observes a stream of source packets in a sequential fashion, and $M$ channel packets must be transmitted between the arrival of successive source packets. Each channel packet can depend on all the source packets observed up to and including that time, but not on any future source packets. The decoder must reconstruct the source stream with a delay of $T$ packets. We consider a class of packet erasure channels with burst and isolated erasures, where the erasure patterns are locally constrained. Our proposed model provides a tractable approximation to statistical models, such as the Gilbert–Elliott channel, for capacity analysis. When $M=1$ , i.e., when the source-packet arrival and channel-packet transmission rates are equal, we establish upper and lower bounds on the capacity, that are within one unit of the decoding delay $T$ . We also establish necessary and sufficient conditions on the column distance and column span of a convolutional code to be feasible, and in turn establish a fundamental tradeoff between these. Our proposed codes—maximum distance and span codes—achieve a near-optimal tradeoff between the column distance and column span, and involve a layered construction. When $M>1$ , we establish the capacity for the burst-erasure channel and an achievable rate in the general case. Extensive numerical simulations over Gilbert–Elliott and Fritchman channel models suggest that our codes also achieve significant gains in the residual loss probability over statistical channel models.
Year
DOI
Venue
2013
10.1109/TIT.2016.2618924
IEEE Trans. Information Theory
Keywords
Field
DocType
Delays,Decoding,Channel models,Real-time systems,Analytical models,Convolutional codes,Error correction codes
Discrete mathematics,Convolutional code,Computer science,Upper and lower bounds,Network packet,Communication channel,Algorithm,Real-time computing,Error detection and correction,Encoder,Decoding methods,Erasure
Journal
Volume
Issue
ISSN
abs/1308.3827
1
0018-9448
Citations 
PageRank 
References 
10
0.57
0
Authors
5
Name
Order
Citations
PageRank
Ahmed Badr1736.43
Pratik Patil2525.05
Ashish Khisti33264203.65
Wai-tian Tan467278.92
John G. Apostolopoulos577768.63