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タイトル On the Overflow Probability of Lossless Codes for Mixed Sources
著者 野村亮 、松嶋敏泰 、平澤茂一
年度 2008
形式 国内学会
分野 情報源符号化
掲載雑誌名 第31回情報理論とその応用シンポジウム予稿集
掲載号・ページ pp.462-467
掲載年 2008
掲載月 10
アブスト
(日本語)
学会名:第31回情報理論とその応用シンポジウム(SITA2008)
日程:2008年10月7日~10月10日
場所:栃木県
アブスト
(英語)
In this paper, we consider the achievability
of variable-length coding. In previous works, we generalized
the achievability of variable-length coding from two
viewpoints. One is the definition of an overflow probability,
and the other is the definition of an achievability. We
defined the overflow probability as the probability of codeword
length, not per symbol, is larger than ηn. Moreover
we defined the -achievability of variable-length codes that
implies an existence of a code for the source under the condition
that the overflow probability is smaller than or equal to
. Then, given we showed the condition of -achievability
for the source that the self-information of the source has
an asymptotic normality. In this paper, we extend the previous
result for mixed sources. In general, the asymptotic
normality of the self-information does not hold for mixed
sources. We show the necessary and sufficient condition for
the -achievability for mixed sources.
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