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

${\displaystyle x(t)=a\sin(\theta (t))}$

where ${\displaystyle a=1}$. 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, ${\displaystyle \alpha }$, and a defined fundamental period, ${\displaystyle T_{o}}$.

Analytic signals with unit amplitude satisfy the Bedrosian Theorem.

References

1. Huang et al. On Instantaneous Frequency: http://rcada.ncu.edu.tw/2009%20Vol.1_No.2/1.ON%20INSTANTANEOUS%20FREQUENCY.pdf

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