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基于Shannon熵的1/f类分形信号去噪方法
Method on denoising of 1/f fractal signal based on Shannon entropy
【摘要】 通过分析1/f类分形信号及白噪声小波系数的Shannon熵在不同分解级数上的特点,提出了根据信号熵所占比例,从加性白噪声背景下估计分形信号的方法。计算机仿真结果表明,该方法简单可靠、有效可行,且事先不需要知道分形信号参数及加性白噪声的统计特性,只需估计出带噪分形信号的信噪比,具有较好的适应性。
【Abstract】 Based on the analysis of wavelet coefficients’ entropy of fractal signal and white noise at different scales, a new method of estimating the fractal signal from added white noise was proposed. The simulation results show that this method is simple, reliable, effective and practical. Since it does not need to know the parameters of fractal signal and the statistical characteristic of added white noise in advance, this method is suitable in many situations.
【关键词】 1/f类分形信号;
信号估计;
小波变换;
香农(Shannon)熵;
【Key words】 1/f Fractal signal; Signal estimation; Wavelet transform; Shannon entropy;
【Key words】 1/f Fractal signal; Signal estimation; Wavelet transform; Shannon entropy;
【基金】 211工程专项基金开发项目(980823)
- 【文献出处】 吉林大学学报(信息科学版) ,Journal of Changchun Post and Telecommunication Institute , 编辑部邮箱 ,2003年01期
- 【分类号】TN911.7
- 【被引频次】14
- 【下载频次】222