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System and method for performing wavelet and inverse wavelet transformations of digital data using semi-orthogonal wavelets
System and method for performing wavelet and inverse wavelet transformations of digital data using semi-orthogonal wavelets
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机译:使用半正交小波执行数字数据的小波和小波逆变换的系统和方法
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摘要
A wavelet transform system and an inverse wavelet transform system are disclosed that respectively implement a wavelet transform and an inverse wavelet transform. Semi-orthogonal standard wavelets are used as the basic wavelets in the wavelet transform and the inverse wavelet transform. As a result, two finite sequences of decomposition coefficients are used for decomposition in the wavelet transform. Furthermore, two finite sequences of reconstruction coefficients that are derived from the two finite sequences of decomposition coefficients are used for reconstruction in the inverse wavelet transform. The finite sequences of decomposition and reconstruction coefficients are not infinite sequences of coefficients that have been truncated. Furthermore, in one embodiment, downsampling is not used in the wavelet transform and upsampling is not used in the inverse wavelet transform.
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