基于小波變換的非均勻采樣信號(hào)頻譜的研究
Study on Spectrum of Nonuniform Sampling Signals Based on Wavelet Transform
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摘要: 該文提出基于小波變換的非均勻采樣信號(hào)頻譜的檢測(cè)方法,給出變換函數(shù)關(guān)系使得非均勻采樣信號(hào)滿足小波變換的兩個(gè)基本條件。文中說(shuō)明了小波的非均勻化過(guò)程,從均勻小波得到非均勻小波,以非均勻小波分析非均勻采樣信號(hào),得到非均勻采樣信號(hào)的頻譜。文中還說(shuō)明了非均勻小波變換的抗混疊的原理以及對(duì)信號(hào)頻譜的檢測(cè)方法,最后給出實(shí)驗(yàn)結(jié)果。理論和實(shí)驗(yàn)表明,非均勻采樣信號(hào)的小波變換方法是一種行之有效的非均勻采樣信號(hào)的頻率檢測(cè)方法,使用該方法處理信號(hào)可以得到準(zhǔn)確的頻率估計(jì)效果。
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關(guān)鍵詞:
- 非均勻采樣; 小波變換; 頻譜分析
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. -
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