  We propose an approach to analysing single trajectories of a particle, which
moves randomly on a landscape distinct parts of which result in sufficiently
various diffusion coefficients. The method based on the mapping the cumulative
sum of step-wise elementary displacement squared into a complex oscillating
functions with the subsequent continuous wavelet analysis of the later allows
the localisation of relatively homogeneous sub-regions and determining values
of the diffusion coefficient within each such sub-region. This approach is
applied to demonstrable test examples as well as to the reconstruction of the
biological membrane's properties from the real data of single molecule walk
tracing.
