  Co-prime arrays and samplers with multiple periods is a framework in which
the co-prime structure is repeated multiple times. In this paper, the effects
of perturbations in sampling locations on the difference set of the prototype
co-prime structure with multiple periods is analysed. Based on this analysis, a
method to estimate the autocorrelation that maximizes the amount of information
extracted from the data is proposed. The advantage is limited only to samplers,
and is not observed in antenna arrays. The expression for the number of
additional contributors available for estimation is derived. The contributors
increase with the increase in the number of periods. In addition, the
expressions for the computational complexity are derived in the presence of
jitter. This provides an upper bound on the number of multiplications and
additions for hardware implementation.
