  We investigate the homology of an unbounded noisy sample on $\mathbb{R}^d$,
under various assumptions on the sampling density. This investigation is based
on previous results by Adler, Bobrowski, and Weinberger (\cite{crackle}), and
Owada and Adler (\cite{topoCrackle}). There, it was found that unbounded noise
generally introduces non-vanishing homology, a phenomenon called
\textit{topological crackle}, unless the density has superexponential decay on
$\mathbb{R}^d$. We show how some well-chosen \textit{non-trivial} variable
bandwidth constructions can extend the class of densities where crackle doesn't
occur to any light tail density with mild assumptions, what we call
\textit{decrackling the noise}.
