DSP Builder-based time-varying delay hyperchaos digital circuit design method and circuit

Abstract

The invention discloses a digital signal processor (DSP) Builder-based time-varying delay hyperchaos digital circuit design method and a DSP Builder-based time-varying delay hyperchaos digital circuit design circuit. The method comprises the following steps of: expanding a three-dimensional classical system Lu into a novel four-dimensional supersystem, performing discretization processing on a hyperchaos system Lu through an optimized discretization equation, and designing a digital circuit realizing a hyperchaos system group; designing digital integrator which conveniently adjusts sampling frequency; and respectively introducing a fixed time delay and time-varying delay controller into a digital system to form a time-varying delay hyperchaos digital circuit. The circuit has high time-varying delay hyperchaos sequence randomness and high generating speed, and the circuit adopts simple logical and algebraic operation, is conveniently realized by using hardware and is relatively low in cost. Moreover, a time-varying delay hyperchaos sequence generated by the digital circuit has extremely high complexity and stability, can serve as a practical chaotic modulation and chaotic encryption signal, and can be widely applied to the field of information security cryptography with higher requirements on confidentiality and reliability.

Description

technical field

[0001] The invention belongs to the chaotic sequence generation technology in nonlinear dynamics, in particular to the field of digital random sequence cryptography in information security cryptography. Background technique

[0002] Lorenz Equation was the first chaos model and became the paradigm of later chaos research. Positivity of classical low-dimensional chaotic systems Lyapunov The number of exponents is small, and the complexity of the system is not enough, which will be limited due to the narrow bandwidth in specific practical applications. A hyperchaotic system proposed by feedback extending the system dimension, with two or more positive Lyapunov The index, the phase space trajectory is separated in more directions, and its dynamic behavior is more complex, which can better meet the practical needs of spread spectrum, secure communication, and radar synchronization control. In recent years, researchers have carried out fruitful explorations ...

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