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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 matrix ： ウィキペディア英語版 Autocorrelation matrix The autocorrelation matrix is used in various digital signal processing algorithms. It consists of elements of the discrete autocorrelation function, $R\_(j)$ arranged in the following manner: :$\backslash mathbf\_x\; =\; E()\; =\; \backslash begin$ R_(0) & R^ *_(1) & R^ *_(2) & \cdots & R^ *_(N-1) \\ R_(1) & R_(0) & R^ *_(1) & \cdots & R^ *_(N-2) \\ R_(2) & R_(1) & R_(0) & \cdots & R^ *_(N-3) \\ \vdots & \vdots & \vdots & \ddots & \vdots \\ R_(N-1) & R_(N-2) & R_(N-3) & \cdots & R_(0) \\ \end This is clearly a Hermitian matrix and a Toeplitz matrix. If $\backslash mathbf$ is wide-sense stationary then its autocorrelation matrix will be positive definite. The ''autocovariance matrix'' is related to the autocorrelation matrix as follows: :$$ \mathbf_x = \operatorname (- \mathbf_x)(\mathbf - \mathbf_x)^H ) = \mathbf_x - \mathbf_x\mathbf_x^H Where $\backslash mathbf\_x$ is a vector giving the mean of signal $\backslash mathbf$ at each index of time. == References == * Hayes, Monson H., ''Statistical Digital Signal Processing and Modeling'', John Wiley & Sons, Inc., 1996. ISBN 0-471-59431-8. * Solomon W. Golomb, and Guang Gong. (Signal design for good correlation: for wireless communication, cryptography, and radar ). Cambridge University Press, 2005. * M. Soltanalian. (Signal Design for Active Sensing and Communications ). Uppsala Dissertations from the Faculty of Science and Technology (printed by Elanders Sverige AB), 2014. 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 matrix」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.