The present invention provides a controllable double cladding guiding structure for tunable phase delay, dynamic chromatic dispersion and polarization mode dispersion compensation. With this, the number of components of the liquid crystal driving device can be restrained and the offset adjustment can be easily carried out with low costs. The acoustic signals have a frequency corresponding to at least one waveguide mode associated with the underwater channel, where the acoustic signals are transmitted at predetermined transmission times. Then, the abstract mathematical vector space is perturbed to produce a perturbed abstract mathematical vector space that is stored in an electronic format accessible to a user.