正交插值多子波理论和构造
Design of Interpolating Orthogonal Multiwavelet
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摘要: 该文根据多子波采样定理，构造了正交插值多子波，从而可直接用信号的采样值作为初始值，使离散多子波变换的预滤波算子简化为单位算子。
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关键词:
- 多子波;多尺度函数;采样定理;预滤波
Abstract: This paper presents the construction of compactly supported, interpolating or-thogonal multiwavelet based on wavelet sampling theorem. With the new interpolation orthogonal multiwavelet base, wavelet coefficients in the multiresolution representation can be directly obtained from a sampled signal. Thus the initialization of the discrete wavelet transform (prefiltering) can be simplified to the identity operator. -
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