The multiwavelet construction via complex wavelet

Licheng Jiao · Journal of Xidian University · 2003

For lack of symmetry in real wavelet analysis, its application is limited. Complex wavlet has good symmetry, but it is too complicated to analyze the real signal and the imaginary part of the processed result is truncated. This paper separates the real part and the imaginary part from the complex wavelet to construct the multiwavelet with good properties, such as short support, orthogonality and symmetry. The multiwavelet via this method does not any pro/post filter, and its symmetry of filter coefficients reduces the computation complication.

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