Title :
The least degraded and the least upgraded channel with respect to a channel family
Author :
Wei Liu ; Hassani, S. Hamed ; Urbanke, Rudiger
Author_Institution :
Sch. of Comput. & Commun. Sci., EPFL, Lausanne, Switzerland
Abstract :
Given a family of binary-input memoryless output-symmetric (BMS) channels having a fixed capacity, we derive the BMS channel having the highest (resp. lowest) capacity among all channels that are degraded (resp. upgraded) with respect to the whole family. We give an explicit characterization of this channel as well as an explicit formula for the capacity of this channel.
Keywords :
channel capacity; channel coding; BMS channel; binary-input memoryless output-symmetric channels; channel capacity; channel ordering; iterative coding systems; least degraded channel; least upgraded channel; Capacity planning; Channel capacity; Degradation; Entropy; Equations; Kernel; Random variables;
Conference_Titel :
Information Theory Workshop (ITW), 2013 IEEE
Conference_Location :
Sevilla
Print_ISBN :
978-1-4799-1321-3
DOI :
10.1109/ITW.2013.6691318