On the optimal number of scales in estimation of fractal signals using wavelets and filter banks

被引：10

作者：

Hirchoren, GA ^{[1
]}

D'Attellis, CE ^{[1
]}

机构：

[1] Univ Buenos Aires, Fac Ingn, Dept Matemat, RA-1063 Buenos Aires, DF, Argentina

来源：

SIGNAL PROCESSING | 1997年 / 63卷 / 01期

关键词：

fractional Brownian motion; wavelets; filter banks; estimation;

D O I：

10.1016/S0165-1684(97)00140-0

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper we deal with the problem of finding the optimal number of scales used in a multiscale Wiener filter for obtaining the minimum mean-square estimation error of fractional Brownian motion (fBm) in noise. Several simulations are presented avoiding simplificative hypotheses previously used and considering also the effects of aliasing. Furthermore, it is shown that the mean-square error does not a strictly decreasing function with respect to the number of scales J. In all the analyzed cases, the optimal number of scales is J less than or equal to 6. (C) 1997 Elsevier science B.V.

引用

页码：55 / 63

页数：9

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