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| Integral Multiwavelet Representation of 1/f Signal |
| Y.an Xiao-hong①; Liu Gui-zhong①; Liu Feng② |
| ①School of Electron. & Information Eng., Xi’an Jiaotong Univ., Xi’an 710049 China;②School of Science Xi’an Jiaotong University China |
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Abstract Based on the theory of integral multiwavelet transformation, the representation of 1/f signal (not near-1/f signal) is explored by inverse integral multiwavelet transforma-tion, and the conditions of representing 1/f signal are acquired. The statistical characteris-tics of integral multiwavelets transformation are studied, and it is proved that the self-similar characteristics of 1/f signal can be represented by the autocorrelation matrix of coefficients of integral multiwavelet in multiwavelet domain. The representation of 1/f signal by singular wavelet is only the special case of the representation.
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Received: 19 May 2003
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2004, Vol. 26 
