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The Martingale Analysis in the Multiresolution Analysis under the Haar Scaling Function and Its Application in the Signal Processing(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
1999年04期
Page:
300-304
Research Field:
Publishing date:

Info

Title:
The Martingale Analysis in the Multiresolution Analysis under the Haar Scaling Function and Its Application in the Signal Processing
Author(s):
LuoYi LiuGuosui
School of Electronic Engineering and Optoelectronic Technology,NUST,Nanjing 210094
Keywords:
marting ale stochast ic integrals stopping t imes
PACS:
O211.6
DOI:
-
Abstract:
In this paper, the method of stochast ic analysis is used in mult iresolution analysis. It is found that a signal decomposed by multiresolution analysis under the Haar scaling funct ion is a mart ingale. By using stochast ic integral, the signal can be reconstructed.

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Memo:
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Last Update: 2013-03-29