Analysis of Coupled Scalar Systems by Displacement Convexity

Potential functionals have been introduced recently as an important tool for the analysis of coupled scalar systems (e.g. density evolution equations). In this contribution we investigate interesting properties of this potential. Using the tool of displacement convexity we show that, under mild assumptions on the system, the potential functional is displacement convex. Furthermore, we give the conditions on the system such that the potential is strictly displacement convex in which case the minimizer is unique.


Published in:
2014 Ieee International Symposium On Information Theory (Isit), 2321-2325
Presented at:
IEEE International Symposium on Information Theory (ISIT), Honolulu, HI, JUN 29-JUL 04, 2014
Year:
2014
Publisher:
New York, Ieee
ISBN:
978-1-4799-5186-4
Laboratories:




 Record created 2015-04-13, last modified 2018-03-17


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