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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 Linear prediction ： ウィキペディア英語版 Linear prediction Linear prediction is a mathematical operation where future values of a discrete-time signal are estimated as a linear function of previous samples. In digital signal processing, linear prediction is often called linear predictive coding (LPC) and can thus be viewed as a subset of filter theory. In system analysis (a subfield of mathematics), linear prediction can be viewed as a part of mathematical modelling or optimization. == The prediction model == The most common representation is :$\backslash widehat(n)\; =\; \backslash sum\_^p\; a\_i\; x(n-i)\backslash ,$ where $\backslash widehat(n)$ is the predicted signal value, $x(n-i)$ the previous observed values, and $a\_i$ the predictor coefficients. The error generated by this estimate is :$e(n)\; =\; x(n)\; -\; \backslash widehat(n)\backslash ,$ where $x(n)$ is the true signal value. These equations are valid for all types of (one-dimensional) linear prediction. The differences are found in the way the parameters $a\_i$ are chosen. For multi-dimensional signals the error metric is often defined as :$e(n)\; =\; \backslash |x(n)\; -\; \backslash widehat(n)\backslash |\backslash ,$ where $\backslash |\backslash cdot\backslash |$ is a suitable chosen vector norm. Predictions such as $\backslash widehat(n)$ are routinely used within Kalman filters and smoothers to estimate current and past signal values, respectively. 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「Linear prediction」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.