Signal compensation of coaxial cable based on Wiener filtering method
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摘要: 由于同轴电缆的低通传输特性，脉冲信号在同轴电缆中传输时不可避免地会出现畸变，并且畸变程度会随着脉冲信号频率、带宽以及传输距离的增加而增大。创新性地将图像处理领域中的一种图像复原方法——维纳滤波法应用于脉冲信号同轴电缆传输畸变补偿，仅利用同轴电缆的S参数和输出信号即可完成输入信号的重构。并以10 m同轴电缆为对象，采用该方法分别对双指数脉冲信号、高斯调制脉冲信号、调制方波信号进行传输畸变补偿。结果表明：对于不同样式的信号，该方法均具有优异的补偿性能；并且，与工程上常用的衰减补偿法相比，该方法不仅补偿精度高，还具有高的计算效率，在同轴电缆脉冲信号传输畸变补偿中具有很好的实用价值。Abstract: With the increase of signal frequency, bandwidth and transmission distance, the signal distortion problem brought by the low pass transmission characteristics of coaxial cable becomes serious and cannot be ignored. In this article, Wiener filtering method, an image reconstruction method that is usually employed in the field of image processing, is innovatively applied to the signal distortion compensation of coaxial cable. The input signal can be reconstructed only by using the S parameters of coaxial cable and output signal. Three different kinds of pulse signals, i.e., double exponential pulse signal, Gaussian modulated pulse signal and modulated square wave signal, transmitted in a 10 m coaxial cable were compensated. The results indicate that this method has excellent compensation performance for different kinds of signals. Moreover, compared with the commonly used attenuation compensation method, this method not only possesses high compensation accuracy, but also has outstanding computation efficiency, which is beneficial for practical application in the signal distortion compensation.
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Key words:
- Wiener filtering method /
- coaxial cable /
- signal compensation /
- distortion /
- modulation
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图 3 同轴电缆信号传输畸变补偿实验示意图
Figure 3. Schematic illustrating the experimental setup for signal compensation in coaxial cable
图 5 维纳滤波法对高斯调制脉冲信号的补偿
Figure 5. Compensation of a Gaussian modulated pulse signal by using Wiener filtering method
图 6 维纳滤波法对另外两种类型信号的补偿
Figure 6. Compensation of other two types of signals using Wiener filtering method
图 7 维纳滤波法与衰减补偿法对不同信号的对比补偿效果对比
Figure 7. Comparisons between the input signals and compensated signals using Wiener filtering method as well as attenuation compensation method for different types of signals
表 1 同轴电缆输出信号、补偿信号与输入信号之间的相对误差
Table 1. Relative error (RE) between the input signal (IS) and output signal (OS) as well as compensated signals (CS) using Wiener filtering method
RE between IS and OS/% RE between IS and CS/% double exponential pulse signal 14.00 3.30 Gaussian modulated pulse signal 21.62 4.85 modulated square wave signal 33.90 5.01 
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表 2 两种补偿法得到的补偿信号与输入信号的相对偏差
Table 2. Relative error (RE) between the input signals and compensated signals using Wiener filtering method (WF) and attenuation compensation method (AC)
RE using AC/% RE using WF/% double exponential pulse signal 8.48 3.30 Gaussian modulated pulse signal 9.27 4.85 modulated square wave signal 10.64 5.01
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表 3 衰减补偿法与维纳滤波法的计算效率对比
Table 3. Comparisons of the efficiency for different types of signals using Wiener filtering method and attenuation compensation method
time of WF/s time of AC/s double exponential pulse signal 0.84 0.77 Gaussian modulated pulse signal 0.89 0.78 modulated square wave signal 0.90 0.83
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