  In this paper we construct representations of certain graded double affine
Hecke algebras (DAHA) with possibly unequal parameters from geometry. More
precisely, starting with a simple Lie algebra $\mathfrak{g}$ together with a
$\mathbb{Z}/m\mathbb{Z}$-grading $\oplus_{i}\mathfrak{g}_{i}$ and a block of
$G_{\underline{0}}$-equivariant complexes on the nilpotent cone of
$\mathfrak{g}_{\underline{1}}$ as introduced in \cite{LY1}, we attach a graded
DAHA and construct its action on the direct sum of spiral inductions in that
block. This generalizes results of Vasserot \cite{V} and Oblomkov-Yun \cite{OY}
which correspond to the case of the principal block.
