Harr小波具有紧支撑、零调和性和优良的正交性等优点，因此选择它作为小波变换的基函数。对采样数据进行4层小波包变换得到16维的特征样本。-Harr wavelet has compact support, zero reconcile and excellent orthogonality, etc., so choose it as the base function of wavelet transform. 4 layers of sampled data wavelet packet t

分数阶傅里叶变换计算方面,基于小波变换的数字水印算法matlab代码，小波包分析提取振动信号中的特征频率。- Fractional Fourier transform computing, Based on wavelet transform digital watermarking algorithm matlab code, Wavelet packet analysis to extract vibration signal characteristic frequency.