| 小波频率特性的频带边界问题 |
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| 引用本文： | 王新,林家骏.小波频率特性的频带边界问题[J].华东理工大学学报(自然科学版),2005,31(6):829-832,836. |
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| 作者姓名： | 王新 林家骏 |
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| 作者单位： | 华东理工大学信息科学与工程学院,上海,200237;河南理工大学电气工程系,河南,焦作,454100;华东理工大学信息科学与工程学院,上海,200237 |
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| 摘 要： | 分析了Daubechies小波系列的频率特性，指出了在绝大多数频带边界频率处都存在着边界问题。在边界频率左、右两侧，频带能量有巨变现象，并且能量的跳变方向相反。边界问题严重影响着信号特征提取的准确性。为此，提出了相邻频带比较法，给出了边界频率的判断准则。运用该方法可以准确识别边界频率。
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| 关 键 词： | 小波分析 边界特征 频率特性 频带能量 |
| 文章编号： | 1006-3080（2005）06-0829-04 |
| 收稿时间： | 2004-12-18 |
| 修稿时间： | 2004-12-18 |
Frequency Band Boundary Problem of Wavelet Frequency Characteristics |
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| WANG Xin,LIN Jia-jun.Frequency Band Boundary Problem of Wavelet Frequency Characteristics[J].Journal of East China University of Science and Technology,2005,31(6):829-832,836. |
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| Authors: | WANG Xin LIN Jia-jun |
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| Institution: | 1. School of Information Science and Engineering, East China University of Science and Technology, Shanghai 200237, China; 2. Department of Electrical Engineering, Henan Polytechnic University, Henan Jiaozuo 454100, China |
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| Abstract: | The frequency characteristics of the Daubechies wavelet series are analyzed. It is pointed out that there is a boundary problem for most frequency band boundary frequencies, the frequency band energy leaps at the left and right sides of the boundary frequencies, and the leap directions are reverse. The veracity of the signal feature extraction is badly affected by the boundary problem. Therefore, a frequency band comparison method is put forward. The rule for judging the boundary frequencies is given. The boundary frequencies can be accurately identified with the method. |
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| Keywords: | wavelet analysis boundary characteristic frequency characteristic frequency band energy |
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