An Hardware Implemention Method for Continual Chaotic System
A novel circuit design approach for Chua\’s non-dimension state equation is proposedin this paper. Firstly, variable-scale reduced, differential to integral converted and timeyardstick transformed are made on the Chua\’s non-dimension state equation. Then,each module circuit based on the state equation is designed and linked with the othercircuits by corresponding relationship of state variables. The circuit consists of invertadder, integrator and inverter, and its structure possesses symmetry. Compared with theother existing chaotic circuits, the circuit has three main characteristics: (1) A circuit\’smodularization design is given, and summarizes a more general design principle for afamily of chaos circuits, which can be applied to circuit design of other non-dimensionstate equations. (2) The circuit parameters are independent and adjustable by usinginvert adder, so it\’s convenient for circuit implementation. (3) The chaotic signalspectrum distribution can be regulated by adjusting integral resistors or capacitances.It\’s convenient for practical applications. According to this method, a novel Chua\’scircuit which can generate three scrolls using polynomial is designed, andcorresponding hardware experiments are given. The computer simulations are in goodagreement with hardware experimental results. This confirms the feasibility of ourmethod.Then, An effective approach for generating continual-chaotic system by using theDigital Signal Processor (DSP) is presented in this paper. Taking the Jerk system as anexample, how to implement the continual system by using the DSP device isintroduced. The experimental results are given respectively at the same time. The tworesults are in good agreement, this confirms the feasibility of our method. Experimentsshow that this method can also be applied to other continual systems. It is convenient,flexible and easy to use in digital secure communication.
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