Construction method of biorthogonal bases of perfect reconstruction wavelet

Tie Wen Zhu; Shao Qiang Chen; Qi Li; Qian Jun Miao

Construction method of biorthogonal bases of perfect reconstruction wavelet

Tie Wen Zhu^*
, Shao Qiang Chen
, Qi Li
, Qian Jun Miao

^*此作品的通讯作者

Peking University
Heilongjiang Bur. of Surveying

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

In the applications of wavelet, it is the most difficult and cumbrous to select the suitable wavelet bases. In this paper, a general construction method of biorthogonal bases of perfect reconstruction wavelet is proposed by using the transmission functions or filters. According to the conclusion, something only to do is to choice the suitable coefficients a_ij(ω) for constructing the wavelet bases of perfect reconstruction which has special properties. So, this conclusion is important to the applications of wavelet.

源语言	英语
页（从-至）	900-904
页数	5
期刊	Dianzi Yu Xinxi Xuebao/Journal of Electronics and Information Technology
卷	27
期	6
出版状态	已出版 - 6月 2005
已对外发布	是

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title = "Construction method of biorthogonal bases of perfect reconstruction wavelet",

abstract = "In the applications of wavelet, it is the most difficult and cumbrous to select the suitable wavelet bases. In this paper, a general construction method of biorthogonal bases of perfect reconstruction wavelet is proposed by using the transmission functions or filters. According to the conclusion, something only to do is to choice the suitable coefficients aij(ω) for constructing the wavelet bases of perfect reconstruction which has special properties. So, this conclusion is important to the applications of wavelet.",

keywords = "Multiresolution analysis, Orthogonal wavelet bases, Perfect reconstruction, Transmission function",

author = "Zhu, \{Tie Wen\} and Chen, \{Shao Qiang\} and Qi Li and Miao, \{Qian Jun\}",

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T1 - Construction method of biorthogonal bases of perfect reconstruction wavelet

AU - Zhu, Tie Wen

AU - Chen, Shao Qiang

AU - Li, Qi

AU - Miao, Qian Jun

PY - 2005/6

Y1 - 2005/6

N2 - In the applications of wavelet, it is the most difficult and cumbrous to select the suitable wavelet bases. In this paper, a general construction method of biorthogonal bases of perfect reconstruction wavelet is proposed by using the transmission functions or filters. According to the conclusion, something only to do is to choice the suitable coefficients aij(ω) for constructing the wavelet bases of perfect reconstruction which has special properties. So, this conclusion is important to the applications of wavelet.

AB - In the applications of wavelet, it is the most difficult and cumbrous to select the suitable wavelet bases. In this paper, a general construction method of biorthogonal bases of perfect reconstruction wavelet is proposed by using the transmission functions or filters. According to the conclusion, something only to do is to choice the suitable coefficients aij(ω) for constructing the wavelet bases of perfect reconstruction which has special properties. So, this conclusion is important to the applications of wavelet.

KW - Multiresolution analysis

KW - Orthogonal wavelet bases

KW - Perfect reconstruction

KW - Transmission function

UR - https://www.scopus.com/pages/publications/21144436266

M3 - 文章

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SN - 1009-5896

VL - 27

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EP - 904

JO - Dianzi Yu Xinxi Xuebao/Journal of Electronics and Information Technology

JF - Dianzi Yu Xinxi Xuebao/Journal of Electronics and Information Technology

IS - 6

ER -

Construction method of biorthogonal bases of perfect reconstruction wavelet

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