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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 ...


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This is a well-known result with no specific name. In signal processing, we usually call the kernel impulse response (as correctly mentioned in a comment by Marcus Müller). The response to a unit step signal is called step response. So what you've found is how to compute the impulse response from the step response. If $h(t)$ denotes the impulse response of a ...


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