| 一种新的紧支撑小波的构造及性质初探 |
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| 引用本文： | 江涌.一种新的紧支撑小波的构造及性质初探[J].振动与冲击,2004,23(3):64-66,75. |
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| 作者姓名： | 江涌 |
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| 作者单位： | 西南科技大学,制造学院,绵阳,621010 |
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| 摘 要： | 通过对小波变换的基本小波的性质进行研究，构造出一类新的基本小波(作者把它称为余弦调频小波)，论证了其作为基本小波的必要条件并讨论了它的性质。并结合信号分析进一步说明了其实用性。这一结果必将在工程应用中产生重要作用。
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| 关 键 词： | 紧支撑 小波变换 性质 必要条件 构造 论证 重要作用 余弦 初探 作者 |
New Compactly Supported wavelet Construction and Its Characters |
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| Jiang,Yong.New Compactly Supported wavelet Construction and Its Characters[J].Journal of Vibration and Shock,2004,23(3):64-66,75. |
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| Authors: | Jiang Yong |
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| Abstract: | Based on the character study of the basic wavelet,a new sort of basic wavelet functions a named as frequency modulation cosine wavelet is constructed,which satisfies the necessary condition to be taken as basic wavelet.The characters of frequency modulation cosine wavelet are discussed,and its practicability and effectiveness are illuminated through an example of analysing communication signals. |
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| Keywords: | wavelet analysis frequency modulation cosine wavelet compactly supported wavelet canonicity condition |
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