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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 Cone-shape distribution function ： ウィキペディア英語版 Cone-shape distribution function The cone-shape distribution function, also known as the Zhao-Atlas-Marks time-frequency distribution,〔Leon Cohen, Time Frequency Analysis: Theory and Applications, Prentice Hall, (1994)〕 (acronymized as the ZAM distribution or ZAMD〔), is one of the members of Cohen's class distribution function.〔 It was first proposed by Yunxin Zhao, Les E. Atlas, and Robert J. Marks II in 1990. The distribution's name stems from the twin cone shape of the distribution's kernel function on the $t,\; \backslash tau$ plane. The advantage of the cone kernel function is that it can completely remove the cross-term between two components having the same center frequency. Cross-term results from components with the same time center, however, cannot be completely removed by the cone-shaped kernel. == Mathematical definition == The definition of the cone-shape distribution function is: :$C\_x(t,\; f)=\backslash int\_^\backslash int\_^A\_x(\backslash eta,\backslash tau)\backslash Phi(\backslash eta,\backslash tau)\backslash exp\; (j2\backslash pi(\backslash eta\; t-\backslash tau\; f))\backslash ,\; d\backslash eta\backslash ,\; d\backslash tau,$ where :$A\_x(\backslash eta,\backslash tau)=\backslash int\_^x(t+\backslash tau\; /2)x^$ *(t-\tau /2)e^\, dt, and the kernel function is :$\backslash Phi\; \backslash left(\backslash eta,\backslash tau\; \backslash right)\; =\; \backslash frac\backslash exp\; \backslash left(-2\backslash pi\; \backslash alpha\; \backslash tau^2\; \backslash right).$ The kernel function in $t,\; \backslash tau$ domain is defined as: : Following are the magnitude distribution of the kernel function in $t,\; \backslash tau$ domain. Following are the magnitude distribution of the kernel function in $\backslash eta,\; \backslash tau$ domain with different $\backslash alpha$ values. As is seen in the figure above, a properly chosen kernel of cone-shape distribution function can filter out the interference on the $\backslash tau$ axis in the $\backslash eta,\; \backslash tau$ domain, or the ambiguity domain. Therefore, unlike the Choi-Williams distribution function, the cone-shape distribution function can effectively reduce the cross-term results form two component with same center frequency. However, the cross-terms on the $\backslash eta$ axis are still preserved. The cone-shape distribution function is in the MATLAB Time-Frequency Toolbox〔() Time-Frequency Toolbox For Use with MATLAB〕 and National Instruments' LabVIEW Tools for Time-Frequency, Time-Series, and Wavelet Analysis 〔() National Instruments. LabVIEW Tools for Time-Frequency, Time-Series, and Wavelet Analysis. () TFA Cone-Shaped Distribution VI〕 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「Cone-shape distribution function」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.