| 紧支撑二元正交小波滤波器的构造 |
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| 引用本文： | 杨建伟,程正兴,郭秀兰.紧支撑二元正交小波滤波器的构造[J].应用数学学报,2004,27(2):246-253. |
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| 作者姓名： | 杨建伟 程正兴 郭秀兰 |
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| 作者单位： | 1. 西安交通大学理学院,西安,710049;河南财经学院计算机科学系,郑州,450002
2. 西安交通大学理学院,西安,710049 |
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| 摘 要： | 高维小波是处理多维信号的有力工具，张量积小波有其自身的缺点．本文给出矩形域上二元正交小波滤波器的一种参数化构造算法，二元小波滤波器的这种构造方法使我们能更方便地研究非张量积的二元正交小波．最后给出算例．
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| 关 键 词： | 高维小波 紧支撑 滤波器 构造算法 数学归纳法 |
CONSTRUCTION OF COMPACTLY SUPPORTED BIVARIATE ORTHOGONAL WAVELET FILTER |
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| YANG JIANWEI Faculty of Science,Xi'an Jiaotong University,Xi'an.CONSTRUCTION OF COMPACTLY SUPPORTED BIVARIATE ORTHOGONAL WAVELET FILTER[J].Acta Mathematicae Applicatae Sinica,2004,27(2):246-253. |
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| Authors: | YANG JIANWEI Faculty of Science Xi'an Jiaotong University Xi'an |
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| Institution: | YANG JIANWEI Faculty of Science,Xi'an Jiaotong University,Xi'an 710049 Department of Computer Science,Henan Institute of Finance and Economica,Zhengzhou 450002 CHENG ZHENGXING,CUO XIULAN Faculty of Science,Xi'an Jiaotong University,Xi'an 710049 |
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| Abstract: | Multivariate wavelets are powerful tool for multi-dimension signal processing.
But tensor product wavelets has a number of drawbacks. In this paper, we give an algorithm
of parametric representation compactly supported bivariate orthogonal wavelet filter. This
representation simplifies the study of bivariate orthogonal wavelets. Examples are also given
to demonstrate the method. |
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| Keywords: | Compactly supported filter wavelet |
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