New method for calculating lifting coefficients of biorthogonal wavelet
Yao Qing-dong
Abstract
Yao Qing-dong
Abstract
s: To make out the coefficients of the fast lifting wavelet transform, a new method for calculating the coefficients of lifting scheme was presented. According to the polyphase representation of forward lifting with the prediction and update stages combined into one matrix, the number of lifting stage was obtained using this method. The lifting coefficients of the biorthogonal wavelet transform were available from solving the simultaneous equations.Combined with the construction methods of the biorthogonal wavelet filters, the proposed method contrasted the coefficients of the filters and obtained the scale factors of the lifting wavelet transform. The results indicate that the lifting coefficients can be solved using the proposed method no matter that the lifting scheme is the prediction process first or the update process first.
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s: To make out the coefficients of the fast lifting wavelet transform, a new method for calculating the coefficients of lifting scheme was presented. According to the polyphase representation of forward lifting with the prediction and update stages combined into one matrix, the number of lifting stage was obtained using this method. The lifting coefficients of the biorthogonal wavelet transform were available from solving the simultaneous equations.Combined with the construction methods of the biorthogonal wavelet filters, the proposed method contrasted the coefficients of the filters and obtained the scale factors of the lifting wavelet transform. The results indicate that the lifting coefficients can be solved using the proposed method no matter that the lifting scheme is the prediction process first or the update process first.
Key concepts: Biorthogonal system, Lifting scheme, Wavelet, Mathematics, Wavelet transform, Biorthogonal wavelet, Second-generation wavelet transform, Representation (politics)