A note on the expected minimum error probability in equientropic channels

Autor:	Weichwald, Sebastian, Fomina, Tatiana, Schölkopf, Bernhard, Grosse-Wentrup, Moritz
Rok vydání:	2016
Předmět:	Quantitative Biology - Neurons and Cognition Computer Science - Information Theory Computer Science - Learning Statistics - Machine Learning
Druh dokumentu:	Working Paper
Popis:	While the channel capacity reflects a theoretical upper bound on the achievable information transmission rate in the limit of infinitely many bits, it does not characterise the information transfer of a given encoding routine with finitely many bits. In this note, we characterise the quality of a code (i. e. a given encoding routine) by an upper bound on the expected minimum error probability that can be achieved when using this code. We show that for equientropic channels this upper bound is minimal for codes with maximal marginal entropy. As an instructive example we show for the additive white Gaussian noise (AWGN) channel that random coding---also a capacity achieving code---indeed maximises the marginal entropy in the limit of infinite messages.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1605.07094 Zobrazit plný text záznamu View this record from Arxiv