Wave-Like Solutions of General One-Dimensional Spatially Coupled Systems

@article{Kudekar2012WaveLikeSO,
  title={Wave-Like Solutions of General One-Dimensional Spatially Coupled Systems},
  author={Shrinivas Kudekar and Tom Richardson and R{\"u}diger L. Urbanke},
  journal={CoRR},
  year={2012},
  volume={abs/1208.5273}
}
We establish the existence of wave-like solutions to spatially coupled graphical models which, in the large size limit, can be characterized by a one-dimensional real-valued state. This is extended to a proof of the threshold saturation phenomenon for all such models, which includes spatially coupled irregular LDPC codes over the BEC, but also addresses hard-decision decoding for transmission over general channels, the CDMA multipleaccess problem, compressed sensing, and some statistical… CONTINUE READING
Highly Cited
This paper has 54 citations. REVIEW CITATIONS

Citations

Publications citing this paper.
Showing 1-10 of 28 extracted citations

On the convergence speed of spatially coupled LDPC ensembles

2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton) • 2013
View 8 Excerpts
Highly Influenced

The velocity of the decoding wave for spatially coupled codes on BMS channels

2016 IEEE International Symposium on Information Theory (ISIT) • 2016
View 4 Excerpts
Highly Influenced

Laterally connected spatially coupled code chains for transmission over unstable parallel channels

2014 8th International Symposium on Turbo Codes and Iterative Information Processing (ISTC) • 2014
View 3 Excerpts
Highly Influenced

The velocity of the propagating wave for general coupled scalar systems

2016 IEEE Information Theory Workshop (ITW) • 2016
View 3 Excerpts

Towards Gaussian capacity, universality and short block length

2016 9th International Symposium on Turbo Codes and Iterative Information Processing (ISTC) • 2016

54 Citations

01020'13'15'17'19
Citations per Year
Semantic Scholar estimates that this publication has 54 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 34 references

Multiple Access Demodulation in the Lifted Signal Graph With Spatial Coupling

IEEE Transactions on Information Theory • 2011
View 8 Excerpts
Highly Influenced

Time-varying peri od c convolutional codes with low-density parity-check matrix

A. J. Felström, K. S. Zigangirov
IEEE Trans. Inform. Theory , vol. 45, no. 5, pp. 2181–2190, Sept. 1999. • 1999
View 9 Excerpts
Highly Influenced

A Simple Proof of Threshold Saturation for Coupled Vector Recursions

——
inInformation Theory Workshop (ITW), 2012 IEEE, Sept 2012, pp. 25–29. • 2012
View 4 Excerpts
Highly Influenced

A simple proof of threshold saturation for coupled scalar recursions

2012 7th International Symposium on Turbo Codes and Iterative Information Processing (ISTC) • 2012
View 4 Excerpts
Highly Influenced

Analysis of coupled scalar systems by displacement convexity

2014 IEEE International Symposium on Information Theory • 2014
View 1 Excerpt

Universal multiple access via spatially coupling data transmission

2013 IEEE International Symposium on Information Theory • 2013
View 1 Excerpt

Similar Papers

Loading similar papers…