Unity amplitude

Last updated January 16, 2026

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.^[1]

References

↑ Huang, Norden E.; Wu, Zhaohua; Long, Steven R.; Arnold, Kenneth C.; Chen, Xianyao; Blank, Karin (2009). "On Instantaneous Frequency" (PDF). Advances in Adaptive Data Analysis. 1 (2): 177–229. Archived from the original (PDF) on 2017-10-16.

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[1] Huang, Norden E.; Wu, Zhaohua; Long, Steven R.; Arnold, Kenneth C.; Chen, Xianyao; Blank, Karin (2009). "On Instantaneous Frequency" (PDF). Advances in Adaptive Data Analysis. 1 (2): 177–229. Archived from the original (PDF) on 2017-10-16.

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