A convolution inequality for entropy over Z 2

international symposium on information theory, pp. 3170-3174, 2017.

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Abstract:

We prove an inequality for the entropy of a sum of two independent random variables taking values in the group Z2. Our inequality is very simply stated, and may be interpreted as a lower bound on the capacity of a cascade of two BSC channels in terms of the capacities of the component BSC channels. The inequality provides an upper bound o...More

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