摘要
由于随机共振在带噪信号的处理过程中能够起到积极的作用,以Duffing随机共振原理为基础,引入多重时间尺度,求得了Duffing方程的一维近似解;并将其延伸到二维坐标空间(x,y),设计出了二维的Duffing滤波器。最后将它应用到图像去噪算法中。仿真实验表明:Duffing滤波器的去噪效果明显优于均值滤波和自适应滤波,具有较好的噪声鲁棒性。
Because of a positive role of the stochastic resonance in processing signals with noise, based on principle of Dulling stochastic resonance, one-dimensional approximation solution of Duffing equation was obtained introducing multiple time scales, then it was extended to the two-dimensional coordinate space （x, y）, the two-dimensional Duffing filter was designed, finally the filter was applied to image de-noise algorithm. Simulation experiments show that the de-noising effect of Duffing filter is obvious better than that of average filter and adaptive filter, and the method has better robustness to noise.
出处
《科学技术与工程》
北大核心
2013年第26期7683-7687,共5页
Science Technology and Engineering
基金
2012年度教育部规划课题(FIB120456)资助
关键词
随机共振
坐标空间
图像去噪
鲁棒性
stochastic resonance
coordinate space
image de-noise
robustness
