翻訳と辞書 Words near each other ・ Sigurd Lohde ・ Sigurd Lorentzen ・ Sigurd Lucassen ・ Sigurd Lund Hamran ・ Sigurd Lunde ・ Sigrún Stefánsdóttir ・ SIGSALY ・ SIGSAM ・ Sigsbee ・ Sigsbee (skipjack) ・ Sigsbee Deep ・ Sigsbee Escarpment ・ Sigsbee Park ・ Sigsig Canton ・ SIGSOFT ・ SigSpec ・ Sigsworth ・ Sigtið ・ SIGTRAN ・ Sigtryg Eysteinsson ・ Sigtrygg ・ Sigtrygg Gnupasson ・ Sigtrygg of Nerike ・ Sigtrygg Runestones ・ Sigtrygg Silkbeard ・ Sigtryggur Baldursson ・ Sigtryggur Jonasson ・ Sigtuna ・ Sigtuna box ・ Sigtuna Cricket Club Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク SigSpec ： ウィキペディア英語版 SigSpec SigSpec is an acronym of "SIGnificance SPECtrum" and addresses a statistical technique to provide the reliability of periodicities in a measured (noisy and not necessarily equidistant) time series. It relies on the amplitude spectrum obtained by the Discrete Fourier transform (DFT) and assigns a quantity called the spectral significance (frequently abbreviated by “sig”) to each amplitude. This quantity is a logarithmic measure of the probability that the given amplitude level is due to white noise, in the sense of a type I error. It represents the answer to the question, “What would be the chance to obtain an amplitude like the measured one or higher, if the analysed time series were random?” SigSpec may be considered a formal extension to the Lomb-Scargle periodogram, appropriately incorporating a time series to be averaged to zero before applying the DFT, which is done in many practical applications. When a zero-mean corrected dataset has to be statistically compared to a random sample, the sample mean (rather than the population mean only) has to be zero. == Probability density function (pdf) of white noise in Fourier space == Considering a time series to be represented by a set of $K$ pairs $(t\_k,x\_k)$, the amplitude pdf of white noise in Fourier space, depending on frequency and phase angle may be described in terms of three parameters, $\backslash alpha\_0$, $\backslash beta\_0$, $\backslash theta\_0$, defining the “sampling profile”, according to :$\backslash tan\; 2\backslash theta\_0\; =\; \backslash frac\backslash sin\; 2\backslash omega\; t\_k\; -\; 2\backslash left(\backslash sum\_^\backslash cos\backslash omega\; t\_k\backslash right)\backslash left(\backslash sum\_^\backslash sin\backslash omega\; t\_k\backslash right)\}\backslash cos\; 2\backslash omega\; t\_k\; -\; \backslash big(\backslash sum\_^\backslash cos\backslash omega\; t\_k\backslash big)^2\; +\; \backslash big(\backslash sum\_^\backslash sin\backslash omega\; t\_k\backslash big)^2\},$ :$\backslash alpha\_0\; =\; \backslash sqrt\backslash left(\; K\backslash sum\_^\backslash cos\; ^2\backslash left(\backslash omega\; t\_k-\backslash theta\_0\backslash right)\; -\backslash left(t\_k-\backslash theta\_0\backslash right)\backslash right)^2\backslash right)\},$ :$\backslash beta\_0\; =\; \backslash sqrt\backslash left(\; K\backslash sum\_^\backslash sin\; ^2\backslash left(\backslash omega\; t\_k-\backslash theta\_0\backslash right)\; -\backslash left(t\_k-\backslash theta\_0\backslash right)\backslash right)^2\backslash right)\}.$ In terms of the phase angle in Fourier space, $\backslash theta$, with :$\backslash tan\backslash theta\; =\; \backslash frac\backslash sin\backslash omega\; t\_k\}\backslash cos\backslash omega\; t\_k\},$ the probability density of amplitudes is given by :$\backslash phi\; (A)\; =\; \backslash frac\backslash exp\backslash left(-\backslash frac\backslash cdot\backslash operatorname\backslash right),$ where the sock function is defined by : 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「SigSpec」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.