| 映射滤波器信号复小波变换的物理特性 |
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| 引用本文： | 徐春龙,王晋国,廖祖文,朱峰. 映射滤波器信号复小波变换的物理特性[J]. 陕西师范大学学报(自然科学版), 2007, 35(2): 43-46 |
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| 作者姓名： | 徐春龙 王晋国 廖祖文 朱峰 |
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| 作者单位： | 陕西师范大学物理学与信息技术学院，长安大学理学院，中国人民解放军94402部队，陕西师范大学物理学与信息技术学院 陕西西安710062，长安大学理学院，陕西西安710064，陕西西安710064，山东济南250002，陕西西安710062 |
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| 摘 要： | 依据信号处理中全通滤波器的理论,设计了从L2(R)到Softy空间的无畸变映射滤波器,分析了该滤波器的特征,研究了在有冗余和无冗余条件下基于该映射滤波器的复小波正、逆变换.结果表明,基于映射滤波器的复小波变换在理论上是完全可行的.由于该变换具有相位信息,可用于阵列信号处理和信号的方向性检测.
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| 关 键 词： | 滤波器 Softy空间 复小波变换 |
| 文章编号： | 1672-4291（2007）02-0043-04 |
| 修稿时间： | 2006-06-15 |
The physical characteristics of signal complex wavelet transform based on projection filter |
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| XU Chun-long,WANG Jin-guo,LIAO Zu-wen,ZHU Feng. The physical characteristics of signal complex wavelet transform based on projection filter[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 2007, 35(2): 43-46 |
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| Authors: | XU Chun-long WANG Jin-guo LIAO Zu-wen ZHU Feng |
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| Abstract: | According to the ideas of all-pass filter,the projection filter without aberration based on complex wavelet transform from L2(R) to softy space is designed and the characteristics are analyzed.Under the conditions of redundancy and non-redundancy,the complex wavelet transform and inverse transform of the filter are proved.The results show that the theory of projection filter based on complex wavelet transform is correct and viable.Due to having the phase information,the method can be used in array signal processing and signal's direction detection. |
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| Keywords: | filter Softy space complex wavelet transformation |
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