Liu Wen-bo

Forming and implementing a hyperchaotic system with rich dynamics

A simple three-dimensional (3D) autonomous chaotic system is extended to four-dimensions so as to generate richer nonlinear dynamics. The new system not only inherits the dynamical characteristics of its parental 3D system but also exhibits many new and complex dynamics, including assembled 1-scroll, 2-scroll and 4-scroll attractors, as well as hyperchaotic attractors, by simply tuning a single system parameter. Lyapunov exponents and bifurcation diagrams are obtained via numerical simulations to further justify the existences of chaos and hyperchaos. Finally, an electronic circuit is constructed to implement the system, with experimental and simulation results presented and compared for demonstration and verification.

The application of B-spline based interpolation in real-time image enlarging processing

Efficient algorithms for the continuous representation of a discrete signal in terms of B-splines and for interpolative signal reconstruction have been proposed in this paper. It analyzes the relationship between the degree of the spline and the quality of the interpolation. By taking the z-transforms of the sampled B-spline functions, a fast interpolation algorithm based on digital filters of IIR and FIR is proposed, which is quite suitable for hardware realization with its ideal processing result and high-speed computing. Through the example of image enlargement, the application of cubic B-spline based interpolation in image processing is investigated. It designs a fast and high-quality image enlargement and display system based on FPGA. It is proved in the experiment to be qualified for the real-time image processing.