摘要
为了完整地研究一类特定的Duffing-Holmes方程所建立的系统用于确定微弱方波未知频率,通过论证了方程存在周期解且该解唯一,建立仿真模型,用定向过零技术计算方波频率。经过对计算结果相对误差的分析,得出该项技术是可行的。同时指出在检测频率后,进一步检测方波幅值的可能性,以及在噪声环境下测量任意周期信号的频率检测的可能性。
In order to study a chaotic system based on Duffing-Homes equation and use it to detect the unknown frequency of square wave signal, we firstly proved the existence of the periodic solution and the exclusion of the solution. We then set up a simulating model to calculate the unknown frequency of square wave signal using directional crossover technique. The technique was feasible through analyzing the relative error of calculating results. This pa- per also brings forward the possibility of further detecting the amplitude of Square wave signal after detecting frequency and the possibility of detecting the frequency of arbitrary periodic signals in noise background with this method.
出处
《桂林电子科技大学学报》
2008年第4期308-312,共5页
Journal of Guilin University of Electronic Technology
关键词
DUFFING方程
方波
频率
定向过零技术
Dulling equation
square wave
frequency
directional crossover technique
