  Weak amplification is a signal enhancement technique which is used to measure
tiny changes that otherwise cannot be determined because of technical
limitations. It is based on the existence of a special type of interaction
which couples a property of a system, i.e., polarization or which-path
information, with a separate degree of freedom, i.e., transverse position or
frequency. Unfortunately, the weak amplification process is generally
accompanied by severe losses of the detected signal, which limits the
applicability of the weak amplification concept. However, we will show here
that since the weak measurement concept is essentially an interference
phenomena, it should be possible to use the degree of interference to get
relevant information about the physical system under study in a more general
scenario, where the signal is not severely depleted (high-signal regime). This
can widen the range of systems where the weak measurement concept can be
applied. In this scenario, which can be called generally weak interference, the
idea of weak value does not convey any useful information.
