This article deals with two important issues in digital filter implementation： roundoff noise and limit cycles. A novel class of robust state-space realizations, called normal realizations, is derived and characteriz...This article deals with two important issues in digital filter implementation： roundoff noise and limit cycles. A novel class of robust state-space realizations, called normal realizations, is derived and characterized. It is seen that these realizations are free of limit cycles. Another interesting property of the normal realizations is that they yield a minimal error propagation gain. The optimal realization problem, defined as to find those normal realizations that minimize roundoff noise gain, is formulated and solved analytically. A design example is presented to demonstrate the behavior of the optimal normal realizations and to compare them with several well-known digital filter realizations in terms of minimizing the roundoff noise and the error propagation.展开更多
对混沌系统的研究是当前非线性系统研究的热点之一。以简化Lorenz混沌系统为例,在DSP(Digital Signal Processor)平台上实现了该混沌系统,从软、硬件设计两方面详细叙述了DSP实现混沌系统的过程。实验结果表明,示波器观察的吸引子相图...对混沌系统的研究是当前非线性系统研究的热点之一。以简化Lorenz混沌系统为例,在DSP(Digital Signal Processor)平台上实现了该混沌系统,从软、硬件设计两方面详细叙述了DSP实现混沌系统的过程。实验结果表明,示波器观察的吸引子相图与计算机理论仿真的结果一致。本方法为混沌系统的进一步应用提供了技术基础。展开更多
基金the National Nature Science Foundation of China (60774021)
文摘This article deals with two important issues in digital filter implementation： roundoff noise and limit cycles. A novel class of robust state-space realizations, called normal realizations, is derived and characterized. It is seen that these realizations are free of limit cycles. Another interesting property of the normal realizations is that they yield a minimal error propagation gain. The optimal realization problem, defined as to find those normal realizations that minimize roundoff noise gain, is formulated and solved analytically. A design example is presented to demonstrate the behavior of the optimal normal realizations and to compare them with several well-known digital filter realizations in terms of minimizing the roundoff noise and the error propagation.
文摘对混沌系统的研究是当前非线性系统研究的热点之一。以简化Lorenz混沌系统为例,在DSP(Digital Signal Processor)平台上实现了该混沌系统,从软、硬件设计两方面详细叙述了DSP实现混沌系统的过程。实验结果表明,示波器观察的吸引子相图与计算机理论仿真的结果一致。本方法为混沌系统的进一步应用提供了技术基础。
