In this paper we present an abstraction of the extrinsic information transfer (EXIT) chart as the interconnection of two nonlinear systems in feedback with each other. We present results on the stability of fixed points for such a dynamical system and use this framework to rederive the well-known stability condition, connecting this to the one-dimensional dynamical system describing the fractions of erasure for low-density parity-check (LDPC) codes on the binary erasure channel (BEC). We observe that the error threshold corresponds to a fixed point bifurcation for this one-dimensional system, and show that this information can be visualized using a well-known tool from control theory: the root locus plot. We further show that these bifurcations can be seen by examining the EXIT chart.
History
Source title
Proceedings of the 2006 IEEE International Symposium on Information Theory
Name of conference
2006 IEEE International Symposium on Information Theory
Location
Seattle, WA
Start date
2006-07-01
Pagination
2559-2563
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Place published
Piscataway, NJ
Language
en, English
College/Research Centre
Faculty of Engineering and Built Environment
School
School of Electrical Engineering and Computer Science