Abstract
In this paper, we focus on the mutual information, which can characterize the transmission ability because it shows correlation between channel input and channel output. Shannon entropy and mutual information are the cornerstones of information theory. In addition, Chernoff information is another fundamental channel information measure, and it describe the maximum achievable exponent of the error probability in hypothesis testing. Uased on alternating conditional expectation (ACE) algorithm, we decompose these two mutual information. In fact, their decomposition results are similar in big data prespective. In this sense, these two kinds of mutual information are just different measures of the same information quantity. This paper also deduces that the channel performance only depends on channel parameters and the decomposition results of a new proposed mutual information should agree with the impact of the parameters.
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