红外技术, 2018, 40 (3): 264, 网络出版: 2018-04-09  

分数阶微积分与互相关除噪技术的结合与分析

Combination and Analysis of Fractional-order Calculus and Cross-correlation Denoising Technology
作者单位
西安导航技术研究所, 陕西 西安 715608
摘要
随机噪声之间, 随机噪声与信号之间互相独立。基于此原理, 可以将原始信号分别经过两个不同的信道, 产生两个不同的含噪信号, 通过互相关运算而去除噪声。互相关处理后的含噪信号中, 信号的幅值大多高于噪声幅值, 继续对含噪信号进行分数阶微积分运算, 加大信号与噪声的差距, 从而达到除噪目的。通过论证与仿真, 验证了此方法的去噪效果更好。
Abstract
Random noise and signal are independent of each other. Based on this principle, the original signal can produce two different noise signals through two different channels. Then, noise can be removed by the cross-correlation operation between the two different noise signals. After the cross-correlation treatment of the noise signal, the signal amplitude is higher than that of the noise amplitude. A fractional order calculus operation is conducted on the noise signal, the gap between the signal and noise is increased, and then the noise is removed. This method is verified through demonstration and simulation. The denoising effect of this method is better.
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王占龙. 分数阶微积分与互相关除噪技术的结合与分析[J]. 红外技术, 2018, 40(3): 264. WANG Zhanlong. Combination and Analysis of Fractional-order Calculus and Cross-correlation Denoising Technology[J]. Infrared Technology, 2018, 40(3): 264.

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