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该文由框架定义导出其自扩展性，并在此理论基础上把调制思想运用于小波变换，提出了一种基于非正交实小波的框架扩展方法，并以墨西哥草帽小波为例对该方法给予详细的说明。使用该方法可以构造出具有正交小波尺度函数特性的框架———调制小波，这种调制小波不但具有优良的滤波特性，而且对噪声具有鲁棒性，还兼有窗函数易于实现的优点。
Based on this theory, the idea of modulation is applied to wavelet transform. A frame expansion method based on non-orthogonal real wavelet is proposed. Taking Mexican straw hat wavelet as an example, Give a detailed explanation. This method can be used to construct the framework --- Orthogonal Wavelet Scaling Function --- Modulation Wavelet, which not only has excellent filtering characteristics, but also robust to noise. It also has the advantage of easy to implement window function.