  A system of a few attractively interacting fermionic $^6$Li atoms in
one-dimensional harmonic confinement is investigated. Non-trivial
inter-particle correlations induced by interactions in a particle-imbalanced
system are studied in the framework of the noise correlation. In this way, it
is shown that evident signatures of strongly correlated fermionic pairs in the
Fulde-Ferrell-Larkin-Ovchinnikov state are present in the system and they can
be detected by measurements directly accessible within state-of-the-art
techniques. The results convincingly show that the exotic pairing mechanism is
a very universal phenomenon and can be captured in systems being essentially
non-uniform and far from the many-body limit.
