2011Unpublished venueRequires access

Extremes of random coding error exponents

Albert Guillén i Fàbregas, Ingmar Land, Alfonso García Martínez

Open publisher page 8 citations

Abstract

We show that Gallager's random coding error exponent of an arbitrary binary-input memoryless symmetric channel is upper-bounded by that of the binary erasure channel and lower-bounded by that of the binary-symmetric channel of the same capacity. We apply the result to find the extremes of the channel dispersion for the aforementioned class of channels.

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What this paper is about

We show that Gallager's random coding error exponent of an arbitrary binary-input memoryless symmetric channel is upper-bounded by that of the binary erasure channel and lower-bounded by that of the binary-symmetric channel of the same capacity. We apply the result to find the extremes of the channel dispersion for the aforementioned class of channels.

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OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We show that Gallager's random coding error exponent of an arbitrary binary-input memoryless symmetric channel is upper-bounded by that of the binary erasure channel and lower-bounded by that of the binary-symmetric channel of the same capacity. We apply the result to find the extremes of the channel dispersion for the aforementioned class of channels.

Key concepts: Binary erasure channel, Binary symmetric channel, Bounded function, Erasure, Binary number, Channel (broadcasting), Exponent, Probability of error

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