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Phase (waves) : ウィキペディア英語版
Phase (waves)

Phase in sinusoidal functions or in waves has two different, but closely related, meanings. One is the initial angle of a sinusoidal function at its origin and is sometimes called phase offset or phase difference. Another usage is the fraction of the wave cycle that has elapsed relative to the origin.
==Formula==
The phase of an oscillation or wave refers to a sinusoidal function such as the following:
:\begin
x(t) &= A\cdot \cos( 2 \pi f t + \varphi ) \\
y(t) &= A\cdot \sin( 2 \pi f t + \varphi ) = A\cdot \cos\left( 2 \pi f t + \varphi - \tfrac\right)
\end
where \scriptstyle A\,, \scriptstyle f\,, and \scriptstyle \varphi\, are constant parameters called the ''amplitude'', ''frequency'', and ''phase'' of the sinusoid. These functions are periodic with period \scriptstyle T = \frac\,, and they are identical except for a displacement of \scriptstyle \frac\, along the \scriptstyle t\, axis. The term phase can refer to several different things:
* It can refer to a specified reference, such as \scriptstyle \cos( 2 \pi f t)\,, in which case we would say the phase of \scriptstyle x(t)\, is \scriptstyle \varphi\,, and the phase of \scriptstyle y(t)\, is \scriptstyle \varphi\,-\, \frac\,.
* It can refer to \scriptstyle \varphi\,, in which case we would say \scriptstyle x(t)\, and \scriptstyle y(t)\, have the same phase but are relative to their own specific references.
* In the context of communication waveforms, the time-variant angle \scriptstyle 2 \pi f t \,+\, \varphi, or its principal value, is referred to as instantaneous phase, often just phase.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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