Abstract
Based on the expansion in the capacity of communication networks to connect not only persons but also
machine-to-machine systems, we propose an almost periodic frequency arrangement (APFA) constructed
with disjoint sets of irrational number groups created using the power root of a prime number. In this
paper, we explain the research process of spreading codes using chaotic codes, and the chaotic features
of APFA that are derived from the approximate periodic frequency function using a new frame Lyapunov
exponent, which estimates the phase difference sensitivity depending on the frame number. The findings
of this study indicate that it is possible to connect more than one million channels at a base station using
the super-multicarrier APFA systems with the same communication quality characteristics as current systems.
