Strong Converse Exponent for Degraded Broadcast Channels at Rates outside the Capacity Region

TL;DR

This paper establishes that for degraded broadcast channels, the error probability approaches one exponentially when transmitting at rates outside the capacity region, providing explicit bounds using an information spectrum approach.

Contribution

It introduces a new exponential error bound for degraded broadcast channels outside the capacity region using the information spectrum method.

Findings

Error probability tends to one exponentially outside capacity

Explicit lower bounds for the error exponent are derived

Information spectrum approach proves effective for this analysis

Abstract

We consider the discrete memoryless degraded broadcast channels. We prove that the error probability of decoding tends to one exponentially for rates outside the capacity region and derive an explicit lower bound of this exponent function. We shall demonstrate that the information spectrum approach is quite useful for investigating this problem.