  We review novel data analysis techniques developed or adapted for the field
of coronal seismology. We focus on methods from the last ten years that were
developed for extreme ultraviolet (EUV) imaging observations of the solar
corona, as well as for light curves from radio and X-ray. The review covers
methods for the analysis of transverse and longitudinal waves; spectral
analysis of oscillatory signals in time series; automated detection and
processing of large data sets; empirical mode decomposition; motion
magnification; and reliable detection, including the most common pitfalls
causing artefacts and false detections. We also consider techniques for the
detailed investigation of MHD waves and seismological inference of physical
parameters of the coronal plasma, including restoration of the
three-dimensional geometry of oscillating coronal loops, forward modelling and
Bayesian parameter inference.
