Unity amplitude

A sinusoidal waveform is said to have a unity amplitude when the amplitude of the wave is equal to 1.

$$x(t) = a \sin(\theta(t))$$

where $$a = 1$$. This terminology is most commonly used in digital signal processing and is usually associated with the Fourier series and Fourier Transform sinusoids that involve a duty cycle, $$\alpha$$, and a defined fundamental period, $$T_o$$.

Analytic signals with unit amplitude satisfy the Bedrosian Theorem.