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Extremes of Random Coding Error Exponents

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In this talk, we will briefly review Gallager’s random coding achievability proof. We will 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 will illustrate how the result can be applied to find the extremes of the channel dispersion for the aforementioned class of channels.

This talk is part of the Signal Processing and Communications Lab Seminars series.

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