How can I linearise this constraint

$d_{u,c}\sigma  \le ||{\bf f}_{u,c}||^2\le Td_{u,c}$\
$\sigma$ is a very small number based on scale of $f$

$T>0$, ${\bf f}_{u,c}$ is optimisation variable, a complex vector.
$d_{u,c}$ is also an optimization variable which in binary.