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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 Mean square quantization error ： ウィキペディア英語版 Mean square quantization error Mean square quantization error (MSQE) is a figure of merit for the process of analog to digital conversion. In this conversion process, analog signals in a continuous range of values are converted to a discrete set of values by comparing them with a sequence of thresholds. The quantization error of a signal is the difference between the original continuous value and its discretization, and the mean square quantization error (given some probability distribution on the input values) is the expected value of the square of the quantization errors. Mathematically, suppose that the lower threshold for inputs that generate the quantized value $q\_i$ is $t\_$, that the upper threshold is $t\_i$, that there are $k$ levels of quantization, and that the probability density function for the input analog values is $p(x)$. Let $\backslash hat\; x$ denote the quantized value corresponding to an input $x$; that is, $\backslash hat\; x$ is the value $q\_i$ for which Then :$$ \begin \operatorname&=\operatorname(x)^2 )\\ &=\int_^ (x-\hat x)^2 p(x)\, dx\\ &= \sum_^k \int_ (x-q_i)^2 p(x) \,dx. \end ==References== *. *. 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「Mean square quantization error」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.