Unity amplitude

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

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[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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