A system-theoretic approach is proposed to investigate the feasibility
of reconstructing a sound velocity profile (SVP) from acoustical hydr
ophone measurements. This problem is based on a state-space representa
tion of the normal-mode propagation model. It is shown' that this repr
esentation can be utilized to investigate the so-called observability
of the SVP from noisy measurement data. A model-based processor is dev
eloped to extract the required information and it is shown that even i
n cases where limited SVP information is available, the SVP can be est
imated using this approach. Based on this framework, investigations ar
e made, of model-based solutions to the sound velocity profile and rel
ated parameter estimation problems. In particular, a processor is desi
gned that allows in situ recursive estimation of the sound velocity pr
ofile from simulated data.