一类易于VLSI实现的对称双正交小波设计方法研究
doi: 10.3724/SP.J.1146.2009.00532
The Design Method of a Class of Symmetric Biorthogonal Wavelets Suitable for VLSI Implementation
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摘要: 该文提出了一类对称双正交小波的设计方法。该类双正交小波的小波滤波器组具有格形结构，实现该小波变换的分析滤波器组和综合滤波器组满足双正交条件和正则性条件，且设计的各滤波器均为实数二进制系数，因而该小波变换易于高速VLSI实现。文中的理论推导和设计实例，均验证了该设计方法的有效性。Abstract: The design method of a class of symmetric biorthogonal wavelets is proposed in this paper. The filter banks of the wavelets possess lattice structure, the analysis and synthesis filter banks for wavelets meet biorthogonality and regularly conditions, and the filters are all real binary coefficients. Therefore, the wavelet transform is suitable for high-speed VLSI implementation. Both the mathematical derivations and the design examples in the paper verify the effectiveness of proposed method.
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