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通过研究有限离散二进小波变换与非线性动力学相空间重构的关系，从相空间重构的角度解释小波变换处理混沌时序的合理性，指出混沌时序的离散小波变换实质上相当于在混沌时序重构的相空间中，混沌吸引子向离散滤波器向量投影的结果。在一定程度内混沌的特性不变。在滤波器向量所张开的平面上可以观察到混沌吸引子的投影：讨论了嵌入维数、时间延迟等与离散二进小波变换尺度间的联系。
By studying the relationship between the finite discrete wavelet transform and the nonlinear dynamics phase space reconstruction, the rationality of the wavelet transform processing chaotic time series is explained from the perspective of phase space reconstruction. It is pointed out that the discrete wavelet transform of chaotic time series is essentially equivalent to the chaos The result of projection of chaotic attractors to discrete filter vectors in the phase space reconstructed by time series. To some extent, the chaos of the same characteristics. The projection of chaotic attractors can be observed in the plane of the filter vector. The relationship between embedded dimension, time delay and discrete discrete wavelet transform scales is discussed.