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在信号分析过程中,用二进小波对信号进行分解以便观察信号在不同子带内的时频特征是一种非常有效的时频分析方法。但由于受信号采样频率的限制,往往使所感兴趣的信号分量不能完整地出现在某一子带内。既使是提高小波分解层数或者用小波包技术也不能很好地解决这一问题。文章提出多抽样率小波信号分解方法,该方法根据目标信号的频带宽度,通过对原始信号的插值和抽取改变抽样频率,以实现不同子带分量的分离。
In the process of signal analysis, it is a very effective time-frequency analysis method to decompose signals with binary wavelet to observe the time-frequency characteristics of signals in different sub-bands. However, due to the limitation of signal sampling frequency, the signal components of interest are often not completely present in a certain subband. Even if it is to improve the wavelet decomposition layer or wavelet packet technology can not solve this problem well. In this paper, a multi-sampling rate wavelet decomposition method is proposed. According to the bandwidth of the target signal, the sampling frequency is changed by interpolation and extraction of the original signal to separate different sub-band components.