deletions | additions       diff --git a/subsection_Quadrature_Noise_The_motion__.tex b/subsection_Quadrature_Noise_The_motion__.tex  index fa3205e..b741b95 100644  --- a/subsection_Quadrature_Noise_The_motion__.tex  +++ b/subsection_Quadrature_Noise_The_motion__.tex 
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\[f(t) = X(t) cos(\omega_c t) + Y(t) sin(\omega_c t)\]  Where $X(t)$ is the in-phase component, $Y(t)$ is the quadrature component and $\omega_c$ is the "carrier" frequency.  A common convention is writing the complex signal,  \[f(t) = A(t) e^{i \omega_c t}\]  Then, the quadrature component are simply the real and imaginary part of the complex amplitude of the signal.  As in the case of the harmonic oscillator, it's impossible to exactly determine $X(t)$ and $Y(t)$ for a given $t$ - there's an amount of uncertainty that can be due to classical or quantum noise. 
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