[Math] Proper convolution notation

convolutiondirac deltanotation

What would be the correct way to write down the convolution in "star" notation for these two functions; $h(t)$ and $\delta(t-x)$. $\delta$ is the Dirac delta function. The integral notation should be

$$ \int_{-\infty}^{\infty}h(t-\tau)\delta(\tau-x)d\tau$$

It feels a little awkward with the delta function in there.

Best Answer

How about $h* \delta(\cdot - x)$?

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