Theoretical connection between PN-sequences and chaos makes simple FPGA pseudo-chaos sources possible

András Mozsáry, L. Azzinari, K. Król, Veikko Porra · 2002

An LFSR, while generating the PN-sequence, can be seen as showing the most significant digits of a rational number. A correspondence can be shown between this Bernoulli-shift operation and iterations of some Chaotic mappings. Therefore, we can obtain several PWAM trajectories by employing a proper transformation on PN-sequences. On the basis of this revelation four LFSR-based logical circuits were implemented in an FPGA. The circuit was used for real-time generation of trajectories of some Chaotic mappings for an FM-DCSK radio transmitter.

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