passband signal

modulated signal

Because a modulated signal can encode information in the amplitude, frequency, or phase of the carrier wave, it is

\begin{equation} s(t) = \alpha(t)cos(2\pi (f_c + f(t))t + \theta(t) + \phi_0) \end{equation}

Alternatively,

\begin{equation} s(t) = \Re\{u(t) e^{j2\pi f_c t}\} \end{equation}

where \(u(t) = s_I(t) + js_Q(t)\).

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