I found a filter for Hankel Transform . As far as i understand this is effectively used as an approximation for $J_0(x)$ and $J_1(x)$.
But how will the change in input affect these filter terms (e.g. $J_0(r) \rightarrow J_0(2r)$)
References : http://onlinelibrary.wiley.com/doi/10.1046/j.1365-2478.1997.500292.x/full