How can I linearize 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 optimization variable, a complex vector.
$d\_{u,c}$ is also an optimization variable which in binary.