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This JAES paper gives a close form of the Fourier transform of the synchronized swept-sine (SSS) signal which has the same form as the ESS $$x(t) = \sin \big\{2\pi f_1L \big[\exp(t/L) -1 \big]\big\}$$ where $$L = \frac{1}{f_1} \mathrm{round}\left[\frac{\hat{T}f_1}{\ln(f_2/f_1)}\right]$$ and $\hat{T}$ is the approximate time length of $x(t)$. The authors ...