Abstract
In this paper we present preliminary results on extremal (worst and best) average mutual information values carried by the extrinsic loglikelihood under the constraint of a given mean and variance while accounting for the consistency feature of loglikelihoods. This is done in an effort to gain insight into the iterative decoding procedure without resorting to the classical “Gaussian approximation”.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
D. Divsalar, S. Dolinar and F. Pollara, “Iterative Turbo Decoder Analysis Based on Density Evolution,” IEEE JSAC, May 2001.
S. ten Brink, “Convergence Behavior of iterative Decoded Parallel Concatenated Codes,” IEEE Trans. Commun. Vol. 49, No. 10, pp. 1727–1737, October 2001.
S. ten Brink, “Design of Serially Concatenated Codes Based on Iterative Decoding Convergence,” Proc. 2” d and International Symposium on Turbo Codes, pp. 319–322, Brest, France, Sept. 4–7, 2000.
S. ten Brink, “Designing Iterative Decoding Schemes with Extrinsic Information Transfer Chart,” AEU-International Journal of Electronics and Communications, Vol. 54, No. 6, pp. 389–398, 2000.
S. ten Brink, “Exploiting the Chain Rule of Mutual Information for the Design of Iterative Decoding Schemes,” 39th Ann. Allerton Conf. Com. Contr. and Computing, Monticello, Illinois, October 2001.
A. Ashimkin, G. Kramer and S. ten Brink, “Code Rate the Area under Extrinsic Information Transfer Curves,” submission to: IEEE Trans. Inform. Theory, Lausanne, Switzerland, June 30-July 5, 2002.
S.-Y. Chung, T. Richardson and R. Urbanke, “Analysis of Sum Product Decoding of Low Density Parity Check Codes using Gaussian Approximations,” IEEE Trans. Inform. Theory,Feb. 2001.
J. Hagenauer, E. Offer and L. Papke, “Iterative Decoding of Binary Block and Convolutional Codes,” IEEE Trans. Inform. Theory, Vol. 42, No. 2, pp. 429–445.
T. Richardson and R. Urbanke, “Analysis and Design of Iterative Decoding Systems,” 1999 IMA Summer Program: Codes Systems and Graphical Models, Minnesota, USA, August 2–6, 1999.
T. Richardson and R. Urbanke, “An Introduction to the Analysis of Iterative Coding Systems,” preprint.
M. Peleg, “Consistency with General Symmetry,” Personal Communication.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media New York
About this chapter
Cite this chapter
Divsalar, D., Shamai, S. (2002). Worst-Case Mutual Information Trajectories in Concatenated Codes with Asymptotic Interleavers. In: Blaum, M., Farrell, P.G., van Tilborg, H.C.A. (eds) Information, Coding and Mathematics. The Springer International Series in Engineering and Computer Science, vol 687. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3585-7_3
Download citation
DOI: https://doi.org/10.1007/978-1-4757-3585-7_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-5289-9
Online ISBN: 978-1-4757-3585-7
eBook Packages: Springer Book Archive