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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 Random modulation ： ウィキペディア英語版 Random modulation In the theories of modulation and of stochastic processes, random modulation is the creation of a new signal from two other signals by the process of quadrature amplitude modulation. In particular, the two signals are considered as being random processes. For applications, the two original signals need have a limited frequency range, and these are used to modulate a third sinusoidal (carrier) signal whose frequency is above the range of frequencies contained in the original signals. ==Details== The random modulation procedure starts with two stochastic baseband signals, $x\_c(t)$ and $x\_s(t)$, whose frequency spectrum is non-zero only for $f\; \backslash in\; ()$. It applies quadrature modulation to combine these with a carrier frequency $f\_0$ (with $f\_0\; >\; B/2$) to form the signal $x(t)$ given by :$x(t)=x\_c(t)\backslash cos(2\; \backslash pi\; f\_0\; t)-x\_s(t)\backslash sin(2\; \backslash pi\; f\_0\; t)=\; \backslash Re\; \backslash left\; \backslash \backslash right\; \backslash \}\; ,$ where $\backslash underline(t)$ is the equivalent baseband representation of the modulated signal $x(t)$ :$\backslash underline(t)=x\_c(t)+j\; x\_s(t).$ In the following it is assumed that $x\_c(t)$ and $x\_s(t)$ are two real jointly wide sense stationary processes. It can be shown that the new signal $x(t)$ is wide sense stationary if and only if $\backslash underline(t)$ is circular complex, i.e. if and only if $x\_c(t)$ and $x\_s(t)$ are such that :$R\_(\backslash tau)=R\_(\backslash tau)\; \backslash qquad\; \backslash text\backslash qquad\; R\_(\backslash tau)=-R\_(\backslash tau).$ 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「Random modulation」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.