  Aim. We investigate synthetic observational signatures generated from
numerical models of transverse waves propagating in braided magnetic fields.
Methods. We examine two simulations with different levels of magnetic field
braiding and impose a periodic, transverse wave driver at the lower boundary.
After waves reflect off the top boundary, a complex pattern of wave
interference forms. We analyse the synthetic emission produced by the forward
modelling code, FoMo. We examine line intensity, Doppler shifts and kinetic
energy along several line-of-sight (LOS) angles. Results. The Doppler shifts
showed the presence of transverse waves. However, when analysing the intensity,
waves are less easily observed for more complex magnetic fields and may be
mistaken for background noise. Depending on the LOS angle, the observable
signatures of waves reflect some of the magnetic field braiding, particularly
when multiple emission lines are available. In the more braided simulation,
signatures of phase mixing can be identified. We identify possible ambiguities
in the interpretation of wave modes based on the synthetic emission signatures.
Conclusions. Most of the observables within this article behave as expected,
given knowledge of the evolution of the parameters in 3D space. However, some
intriguing observational signatures are present. Detecting regions of magnetic
field complexity is somewhat possible when waves are present. However,
simultaneous spectroscopic imaging from different lines is important to
identify these locations. Care needs to be taken when interpreting intensity
and Doppler velocity signatures as torsional motions as, in our setup, such
signatures were a consequence of the magnetic field complexity and not
torsional waves. Finally, the kinetic energy, estimated with Doppler
velocities, is dependent on the polarisation of the wave, complexity of the
background field and the LOS.
