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$$g(t)=\frac{12a}{t^2+a^2}$$

I need to find the Energy Density Function of the signal, but everywhere I look has an input and an impulse response. Does anyone know how to solve this. Would I just take the absolute value of it, square it and then integrate it?

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    $\begingroup$ Read up on the difference between "Signals" and "Systems". It's super important to not confuse the two and it's a fairly common confusion for beginners. Good news: it's quite easy to get the hang of it. $\endgroup$
    – Hilmar
    Feb 10, 2021 at 12:56

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If you're referring to energy spectral density, then you need to compute the squared magnitude of the Fourier transform of $g(t)$:

$$\big|G(\omega)\big|^2=\left|\int_{-\infty}^{\infty}g(t)e^{-j\omega t}dt\right|^2\tag{1}$$

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