Two Applications of the Gaussian Poincaré Inequality in the Shannon Theory
نویسندگان
چکیده
We employ the Gaussian Poincaré inequality for two tasks in the Shannon theory. First, we show that the Gaussian broadcast channel admits a strong converse. Second, we demonstrate that the empirical output distribution of a delay-limited code for the AWGN channel with quasi-static fading and with non-vanishing probability of error converges to the maximum mutual information output distribution (in the normalized relative entropy sense).
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