The Relation between Time Shift and Phase

We now study the time shift of a waveform and how it’s related to the phase.

A sinusoidal waveform is given by the expression below:

$$x(t) = A \cos (\omega t + \theta)$$

This signal has these three parameters:

• Amplitude $A$
• Frequency $\omega$
• Phase $\theta$

In general, people find it quite straightforward to understand how the amplitude $A$ represents the signal level while the frequency $\omega$ is related to the number of rotations in a second.

$$\omega = 2\pi f = \frac{2\pi}{T}$$ ...