Sinusoidal Signal

Sinusoidal signals are the basic building blocks in the theory of signals and systems.

The most general mathematical formula for a sinusoid is

\[x(t)=A\ \cos (\omega_0t+\phi)\]

Where: A is the amplitude, \(\omega_0\) the radian frequency, and ϕ the phase.

x(t) oscillates between A and −A, and repeats the same pattern of oscillations every \(1/\omega_0\) . This time interval is called the period of the sinusoid T.