小波包频谱结构的数值分析

Numerical Analysis of Frequency Spectrum Structure of Wavelet Packets

在一些文献中都给出了小波包能将小波频谱进一步细分这一论断，但并没给出数学上的证明．本文通过数值计算的方法，以Ｄａｕｂｅｃｈｉｅｓ小波为例，给出小波及相应小波包的频谱，通过比较频谱图验证了这一论断的正确性．

Without mathematical proof the conclusion is given in several references that frequency spectrums of wavelets is further divided by wavelet packets.In this paper,frequency spectrums of Daubechies's wavelet and wavelet packets are calculated numerically to prove the conclusion.