  The quasiparticle interference (QPI) patterns in BiS$_{2}$-based
superconductors are theoretically investigated by taking into account the
spin-orbital coupling and assuming the recently proposed
$d^{*}_{x^{2}-y^{2}}$-wave pairing symmetry. We found two distinct scattering
wave vectors whose evolution can be explained based on the evolution of the
constant-energy contours. The QPI spectra presented in this paper can thus be
compared with future scanning tunneling microscopy experiments to test whether
the pairing symmetry is $d^{*}_{x^{2}-y^{2}}$-wave in BiS$_{2}$-based
superconductors.
