This study explores the reconstruction of a signal using spectral quantities
associated with some self-adjoint realization of an h-dependent Schr\"odinger
operator when the parameter h tends to 0. Theoretical results in semi-classical
analysis are proved. Some numerical results are also presented. We first
consider as a toy model the sech^2 function. Then we study a real signal given
by arterial blood pressure measurements. This approach seems to be very
promising in signal analysis. Indeed it provides new spectral quantities that
can give relevant information on some signals as it is the case for arterial
blood pressure signal
