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On the Asymptotic Spectrum of the Error Probability of Composite Networks

Abstract : This paper investigates composite multiterminal networks which consist of a set of multiterminal channels indexed or parametrized by a vector of channel parameters θ. The channel in operation is drawn from the sample set with probability Pθ. Instead of finding the maximum achievable rate subject to a -asymptotically- small error probability (EP), we look at the behavior of the error probability for a fixed coding rate. The asymptotic spectrum of error probability (ASEP) is then introduced as a novel and more general performance measure for composite networks. Indeed, the ASEP is defined as the smallest probability that the EP exceeds a desirable error ε for a coding rate r. It is shown that the ASEP is directly related to the ε-capacity of the network and assuming memoryless channels the ASEP can be bounded by a new region referred to as the full error region. Moreover, every code with a rate belonging to this region yields asymptotic EP equal to one.
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Submitted on : Wednesday, November 7, 2012 - 4:57:32 PM
Last modification on : Monday, December 14, 2020 - 12:38:06 PM


  • HAL Id : hal-00749565, version 1



Arash Behboodi, Pablo Piantanida. On the Asymptotic Spectrum of the Error Probability of Composite Networks. 2012 IEEE Information Theory Workshop , Sep 2012, Lausanne, Switzerland. ⟨hal-00749565⟩



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