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

Author

Mozsáry, A. ; Azzinari, L. ; Król, K. ; Porra, Prof V.

Author_Institution

Electron. Circuit Design Lab., Helsinki Univ. of Technol., Finland

Volume

1

fYear

2001

fDate

6/23/1905 12:00:00 AM

Firstpage

457

Abstract

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

Keywords

chaos; circuit CAD; field programmable gate arrays; iterative methods; logic design; piecewise linear techniques; radio transmitters; real-time systems; shift registers; Bernoulli-shift operation; FM-DCSK radio transmitter; FPGA; LFSR; PN-sequences; PWAM trajectories; PieceWise Affine Markow maps; iterations; linear feedback shift registers; logical circuits; piecewise linear chaotic mappings; real-time; Binary sequences; Chaos; Clocks; Electronic circuits; Field programmable gate arrays; Laboratories; Linear feedback shift registers; Radio transmitters; Shift registers; Trajectory;

fLanguage

English

Publisher

ieee

Conference_Titel

Electronics, Circuits and Systems, 2001. ICECS 2001. The 8th IEEE International Conference on

Print_ISBN

0-7803-7057-0

Type

conf

DOI

10.1109/ICECS.2001.957777

Filename

957777