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| Balance for M-Band Biorthogonal Multiwavelet Huang Yongdong.1,2£¬Cheng Zhengxing1 (1.School of Sciences£¬Xi'an Jiaotong University£¬Xi'an 710049£¬China£»2.Institute of Information and System Science£¬The Northwest Secondly National College£¬ Yinchuan 750021£¬China) Abstract£ºThe notion of balancing is introduced to M-band biorthogonal multiwavelet
system£¬the corresponding balanced conditions are presented£¬and some equivalent
propositions of balanced multiscale functions are established£®Based on these
propositions£¬algorithms for constructing balanced multiscale function and multiwavelets
are proposed£®If discrete polynomial signals are dealt with by the algorithm£¬the
signals are preserved by the lowpass filter and canceled by the highpass filter£¬and the
algorithm keeps symmetry of biorthogonal multiwavelet system£®The numerical examples show
the applied significance in signal processing£® |
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