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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 Autocorrelation technique ： ウィキペディア英語版 Autocorrelation technique The autocorrelation technique is a method for estimating the dominating frequency in a complex signal, as well as its variance. Specifically, it calculates the first two moments of the power spectrum, namely the mean and variance. It is also known as the pulse-pair algorithm in radar theory. The algorithm is both computationally faster and significantly more accurate compared to the Fourier transform, since the resolution is not limited by the number of samples used. == Derivation == The autocorrelation of lag 1 can be expressed using the inverse Fourier transform of the power spectrum $S(\backslash omega)$: :$R(1)\; =\; \backslash frac\; \backslash int\_^\; S(\backslash omega)\; e^\; d\backslash omega.$ If we model the power spectrum as a single frequency $S(\backslash omega)\; \backslash \; \backslash stackrel\backslash \; \backslash delta(\backslash omega\; -\; \backslash omega\_0)$, this becomes: :$R(1)\; =\; \backslash frac\; \backslash int\_^\; \backslash delta(\backslash omega\; -\; \backslash omega\_0)\; e^\; d\backslash omega$ :$R(1)\; =\; \backslash frac\; e^$ where it is apparent that the phase of $R(1)$ equals the signal frequency. 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「Autocorrelation technique」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.