小波基的构造方法和算法设计
THE CONSTRUCTION METHODS AND ALGORITHM DESIGN OF WAVELET BASES
-
摘要: 本文首先对小波分析的基本原理作了简要介绍;然后从分解信号完全恢复的角度,对几种典型的小波基进行了概括;并且着重指出:对于两带分解的小波基设计等价于在正则性条件下,设计一个两带完全恢复或近似完全恢复恢复的滤波器组;最后给出了相应于Daubechies基的小波生成算法和实验结果。
-
关键词:
- 小波分析; 小波基设计; 算法构成
Abstract: Based on the brief introduction of the principle of wavelet analysis, this paper gives a summary of several typical wavelet bases from the point of veiw of perfect reconstruction of signal and emphasizes that designing wavelet bases which are used to decompose the signal into two-band form is equivalent to designing a two-band filters with perfect or nearly perfect property. The generating algorithm corresponding to Daubechies bases and some simulated results are also shown in this paper. -
Daubechies I. Comm[J].Pure Appl. Math.1988, 41:909-996[2]Antonini M.[J].Sarlaud M, Mathieu P, Daubechies I. Image Coding Using Vector Quantiztion is the Wavelet Transform Domain. Proe. of ICASSP90, New Mexico, USA.2297,1990:-[3]Mallat S, Zhong S F. IEEE Trans. on PAMI, 1992, PAMI-14(7):710-732.[4]Papoulis A. Signal Analysis, New York: McGraw-Hill, 1977, 30-55. -
计量
- 文章访问数: 2114
- HTML全文浏览量: 142
- PDF下载量: 407
- 被引次数: 0
下载:
