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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Pairwise error probability ： ウィキペディア英語版 Pairwise error probability Pairwise error probability is the error probability that for a transmitted signal ($X$) its corresponding but distorted version ($\backslash widehat$) will be received. This type of probability is called ″pair-wise error probability″ because the probability exists with a pair of signal vectors in a signal constellation. It's mainly used in communication systems.〔 ==Expansion of the definition== In general, the received signal is a distorted version of the transmitted signal. Thus, we introduce the symbol error probability, which is the probability $P(e)$ that the demodulator will make a wrong estimation $(\backslash widehat)$ of the transmitted symbol $(X)$ based on the received symbol, which is defined as follows: :$P(e)\; \backslash triangleq\; \backslash frac\; \backslash sum\_\; \backslash mathbb\; (X\; \backslash neq\; \backslash widehat|X)$ where is the size of signal constellation. The pairwise error probability $P(X\; \backslash to\; \backslash widehat)$ is defined as the probability that, when $X$ is transmitted, $\backslash widehat$ is received. :$P(e|X)$ can be expressed as the probability that at least one $\backslash widehat\; \backslash neq\; X$ is closer than $X$ to $Y$. Using the upper bound to the probability of a union of events, it can be written: :$P(e|X)\backslash le\backslash sum\_\; P(X\; \backslash to\; \backslash widehat)$ Finally: :$P(e)\; =\; \backslash tfrac\; \backslash sum\_\; P(e|X)\; \backslash leq\; \backslash tfrac\; \backslash sum\_\backslash sum\_\; P(X\; \backslash to\; \backslash widehat)$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Pairwise error probability」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.