Open AccessHigh‐frequency reverse‐time chaos generation using digital chaotic maps
Author(s) -
Bailey J.P.,
Beal A.N.,
Dean R.N.,
Hamilton M.C.,
Tugnait J.K.
Publication year - 2014
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2014.2709
Subject(s) - chaotic , computer science , iterated function , filter (signal processing) , chaos (operating system) , state (computer science) , control theory (sociology) , electronic engineering , computer hardware , control (management) , algorithm , mathematics , engineering , artificial intelligence , computer vision , mathematical analysis , computer security
Reverse‐time chaos can be used to realise hardware chaotic systems that can operate at speeds equivalent to existing state‐of‐the‐art while requiring significantly less complex circuitry. Unlike traditional chaotic systems, which require significant analogue hardware that is difficult to realise at high speed, the reverse‐time system can be realised with a field programmable gate array calculating a digital iterated map. The resulting output forgoes the need for digital‐to‐analogue conversion by directly driving a series RLC filter. Since the dynamics of this system are determined by an iterated map, precise control of this system is possible by adjusting the map's initial condition. Hardware results for the controllable reverse‐time system demonstrate chaotic behaviour at an operating frequency of 1.8 MHz and show promise for extension to higher frequencies.