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The Construction of Scale-a Haar Wavelet Bases

MAO Yi-bo, ZANG Bi-shan ( Department of Mathematics, Chongqing Yuxi College, Yongchuan, Chongqing 402168, China; College of Mathematics & Physics, Chongqing University, Chongqing, 400044, China)  
This paper studies the unified construction of scale-a Haar wavelet basis (a 1, a r= Z) and gives the analysis and reconstruction algorithm. The a- 1 mother wavelets corresponding to Haar scaling function can be constructed by calculating eigenvectors of a symmetric matrix.
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