Construction of compactly supported biorthogonal wavelet based on lifting scheme
Ding Xuan-hao
Abstract
Ding Xuan-hao
Abstract
Basing of construction perfect reconstruction filter and together with traditional construction biorthonormal wavelet theory,we obtain the method which constructs compactly supported biorthogonal wavelet based on lifting scheme.And an example about the construction of biorthonormal wavelet with length 4-4 and with vanishing moment 2-1 is given.Some other examples of wavelet are applied to signal denoise.We can find a result that with some length,wavelet based on lifting scheme denoises better than ordinary wavelet,we also using adaptive method to search free variable,which is denoised best.
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Basing of construction perfect reconstruction filter and together with traditional construction biorthonormal wavelet theory,we obtain the method which constructs compactly supported biorthogonal wavelet based on lifting scheme.And an example about the construction of biorthonormal wavelet with length 4-4 and with vanishing moment 2-1 is given.Some other examples of wavelet are applied to signal denoise.We can find a result that with some length,wavelet based on lifting scheme denoises better than ordinary wavelet,we also using adaptive method to search free variable,which is denoised best.
Key concepts: Wavelet, Biorthogonal wavelet, Lifting scheme, Biorthogonal system, Second-generation wavelet transform, Mathematics, Wavelet packet decomposition, Cascade algorithm