JSIAM Letters
Online ISSN : 1883-0617
Print ISSN : 1883-0609
ISSN-L : 1883-0617
Articles
Chaotic property of almost periodic frequency arrangement (APFA)
Isao NakazawaKen Umeno
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2020 Volume 12 Pages 9-12

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Abstract

We propose an almost periodic frequency arrangement (APFA) constructed by an irrational number group created using the power root of a prime number. Based on findings, 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 the current system. In this paper, we propose a new frame Lyapunov exponent (FLE) which estimates the phase difference sensitivity depending on the frame number. We reveal the universal feature of FLE and elucidate several characteristics such as short-term radiations of phases.

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© 2020, The Japan Society for Industrial and Applied Mathematics
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