小波包方法在车载FSK信号中的应用
|
摘要
FSK信号作为保障铁路安全运行的主要信号制式 ,在国内铁路上现在有两种 ,是法国引进的 UT信号和国内自主开发的 YP信号。小波变换是继傅里叶变换之后的重大突破 ,而小波包则是小波变换的进一步发展 ,克服了小波变换的一些不足。本文首先研究了车载 FSK信号的特征 ,再利用小波包对车载 FSK信号进行滤波处理。文中 ,给出了如何确定给定频率的信号在小波包分解树各个分解层中对应节点的算法 ,在滤波处理过程中 ,为了处理带内的噪声 ,也给出了采用阈值的方法来减少带内白噪声 ,阈值的选取充分应用到 FSK信号的小波包分解的特点。最后 ,我们给出了计算机产生的仿真 FSK信号和现场采集的 FSK信号的两种仿真 ,仿真结果表明 ,根据车载 FSK信号的特性 ,小波包方法是处理车载 FSK信号的有效方法。
As the key signal system guaranteeing the safety for the railway, there are two types of FSK system used now by China railway: UT signal imported from France and the homemade YP signal. Wavelet transform is a big breakthrough after Fourier transforms, and the wavelet packet theory is the further development for wavelet transform, for it overcomes some shortcomings of wavelet transform. In this article, we study first the main characters of cab FSK signal, then the wavelet packets method is applied to the FSK signal filtering. We give an algorithm that determines the corresponding decomposition node for a signal with a pre specified frequency in the decomposition tree. In order to reduce the in band white noise in the denoising process, we give an algorithm based on threshold technology, and we also give a method to calculate the threshold that takes full advantage of the character of the wavelet packet decomposition of the FSK signal. In the last part of the article,a simulations on both computer simulation data and field data are given, and the simulation results show that the wavelet packet theory is an effective filtering method.
As the key signal system guaranteeing the safety for the railway, there are two types of FSK system used now by China railway: UT signal imported from France and the homemade YP signal. Wavelet transform is a big breakthrough after Fourier transforms, and the wavelet packet theory is the further development for wavelet transform, for it overcomes some shortcomings of wavelet transform. In this article, we study first the main characters of cab FSK signal, then the wavelet packets method is applied to the FSK signal filtering. We give an algorithm that determines the corresponding decomposition node for a signal with a pre specified frequency in the decomposition tree. In order to reduce the in band white noise in the denoising process, we give an algorithm based on threshold technology, and we also give a method to calculate the threshold that takes full advantage of the character of the wavelet packet decomposition of the FSK signal. In the last part of the article,a simulations on both computer simulation data and field data are given, and the simulation results show that the wavelet packet theory is an effective filtering method.
引文
[ 1]Mladen Victor Wickerhauser. Best- adapted WaveletPacket Bases[C]. Proceedings of Symposia in appliedMathematics,1993,47.
[2 ]Donoho D L.Denoising by Soft- Thresholding[Z].http://www.stat.stanford.edu/- donoho/reports/index.html
[3]Martin Vetterli. Wavelets and Subband Coding [M ].Prentice Hal.,PTR Englewood Cliffs,New Jersey,1995 .
[4]Mladen Victor Wickerhauser.L ectures on Wavelet PacketAlgorithm [Z].http://www.math.wustl.edu/～ victor/papers/
[5 ]宗孔德 .多抽样率信号处理 [M].北京 :清华大学出版社 ,1996 .
[6 ]程正兴 .小波分析算法与应用 [M].西安 :西安交通大学出版社 ,1998.
[7]费锡康 .无绝缘轨道电路原理与分析 [M].北京 :中国铁道出版社 ,1993.
[8]范明 .UT信号的数字译码 [J].中国铁道科学 ,1998,19(3) .
[9]刘希强 ,等 .基于小波包变换的滤波方法 [J].西北地震学报 ,1999,2 1(3)
[2 ]Donoho D L.Denoising by Soft- Thresholding[Z].http://www.stat.stanford.edu/- donoho/reports/index.html
[3]Martin Vetterli. Wavelets and Subband Coding [M ].Prentice Hal.,PTR Englewood Cliffs,New Jersey,1995 .
[4]Mladen Victor Wickerhauser.L ectures on Wavelet PacketAlgorithm [Z].http://www.math.wustl.edu/～ victor/papers/
[5 ]宗孔德 .多抽样率信号处理 [M].北京 :清华大学出版社 ,1996 .
[6 ]程正兴 .小波分析算法与应用 [M].西安 :西安交通大学出版社 ,1998.
[7]费锡康 .无绝缘轨道电路原理与分析 [M].北京 :中国铁道出版社 ,1993.
[8]范明 .UT信号的数字译码 [J].中国铁道科学 ,1998,19(3) .
[9]刘希强 ,等 .基于小波包变换的滤波方法 [J].西北地震学报 ,1999,2 1(3)
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心