基于小波变换的非均匀采样信号频谱的研究
Study on Spectrum of Nonuniform Sampling Signals Based on Wavelet Transform
-
摘要: 该文提出基于小波变换的非均匀采样信号频谱的检测方法,给出变换函数关系使得非均匀采样信号满足小波变换的两个基本条件。文中说明了小波的非均匀化过程,从均匀小波得到非均匀小波,以非均匀小波分析非均匀采样信号,得到非均匀采样信号的频谱。文中还说明了非均匀小波变换的抗混叠的原理以及对信号频谱的检测方法,最后给出实验结果。理论和实验表明,非均匀采样信号的小波变换方法是一种行之有效的非均匀采样信号的频率检测方法,使用该方法处理信号可以得到准确的频率估计效果。
-
关键词:
- 非均匀采样; 小波变换; 频谱分析
Abstract: A novel nonuniform sampling digital spectrum processing method based on wavelet transform is studied in this paper. The fundamental principle of nonuniform sampling wavelet transform is introduced and the processing procedure is presented from the uniform wavelet to nonuniform wavelet. The nonuniform sampling wavelet transform method is applied to the frequency detection in this paper. The results of the experiments show that it is an effective method for signal detection and it can exactly estimate the frequencies of sinusoidal signals. -
Ferreira Paulo Jorge S G. Nonuniform sampling of nonbandlimited signals[J].IEEE Signal Processing Letters.1985, 2(5):89-[2]Bland Denise M, Laakso Timo I. Application of NUT-DFT for resampling nonuiformly sampled signals[J].Int. Symp. on Circuits and Systems (ICECS96) Atlanta, Georgia, USA, May 12- 1.1996, vol.3:586-[3][美]崔锦泰,著,程正兴,译.小波变换导论.西安:西安交通大学出版,1995,第5章.[4]Djokovic Igor, Vaidyanathan P P. Generalized sampling theorems in multiresolution subspaces[J].IEEE Trans. on Signal Processing.1997, 45 (3):583-[5]杨守志,程正兴,杨建伟.r重小波子空间上的Shannon型均匀和非均匀采样定理.工程数学学报,2003,20(2):1-6.[6]Mallat S, Hwang Wenliang. Singularity detection and processing with wavelets[J].IEEE Trans. on Information Theory.1992, 38 (2):617- -
计量
- 文章访问数: 2760
- HTML全文浏览量: 111
- PDF下载量: 1427
- 被引次数: 0
下载:
