The paper considers recovery of signals from incomplete observations and a
problem of determination of the allowed quantity of missed observations, i.e.
the problem of determination of the size of the uniqueness sets for a given
data recovery procedures. The paper suggests a way to bypass solution of this
uniqueness problem via imposing restrictions investigates possibility of data
recovery for classes of finite sequences under a special discretization of the
process range.
It is shown that these sequences can be dense in the space of all sequences
and that the uniqueness sets for them can be singletons. Some robustness with
respect to rounding of input data can be achieved via including additional
observations