| M带离散时间子波变换 |
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| 引用本文： | 张子敬,焦李成.M带离散时间子波变换[J].电子与信息学报,2000,22(5):791-798. |
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| 作者姓名： | 张子敬 焦李成 |
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| 作者单位： | 西安电子科技大学雷达信号处理重点实验室,西安,710071 |
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| 基金项目： | 国家自然科学基金，国家“863”高技术资助项目 |
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| 摘 要： | 二带连续时间子波变换可由无限级树形正交镜像滤波器(QMF)组产生,类似地,二带离散时间子波变换可表示为有限级树形QMF组。该文对二带离散时间子波变换进行了推广,给出了M带离散时间于波变换,并研究了M带离散时间子波变换与M带仿酉滤波器组之间的关系。结果表明,在L级M带树形滤波器组中,如果每级滤波器组是仿酉滤波器组,则该树形滤波器组所产生的离散时间子波基是正交基。
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| 关 键 词： | M带子波 离散时间子波变换 仿酉滤波器组 |
| 收稿时间： | 1999-2-11 |
| 修稿时间： | 1999-02-11 |
M-BAND DISCRETE TIME WAVELET TRANSFORM |
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| Zhang Zijing,Jiao Licheng.M-BAND DISCRETE TIME WAVELET TRANSFORM[J].Journal of Electronics & Information Technology,2000,22(5):791-798. |
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| Authors: | Zhang Zijing Jiao Licheng |
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| Affiliation: | Zhang Zijing
,Jiao Licheng
(National Key Lab of Radar Signal Processing,Xidian University,Xi'an 710071) |
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| Abstract: | Two-band continuous time wavelets can be obtained from infinite-level binary tree-structured QMF banks. Similarly, two-band discrete time wavelet transform can be represented as a finite-level binary tree-structured QMF banks. In this paper, two-band discrete time wavelet transforms are generalized to M-band discrete time wavelet transforms. The relationship between M-band discrete time wavelet transforms and M-band paraunitary filter banks is also investigated. It is shown that if the filter banks on each level are paraunitary, the wavelet basis generated by this tree is orthonormal. |
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| Keywords: | M-band wavelet Discrete time wavelet transform Paraunitary filter banks |
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