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[滤波] 先给大家拜个年!!有个滤波问题,涉及回归分析

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发表于 2010-2-13 01:36 | 显示全部楼层 |阅读模式

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测量电流,噪声很大

用普通的巴特沃斯或者其他类型滤波器,不能满足要求

因为理论上电流应该呈现2次或者高次曲线,所以试着用回归法分析了整个电流,取得相当好的结果

从来没见过这样的理论,难道回归分析,可以替代滤波器,或者有滤波的效果???


多谢大家!!!
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 楼主| 发表于 2010-2-13 02:05 | 显示全部楼层
解决了,多谢大家

下面是参考:
http://www.emt.tugraz.at/publica ... enreich/node22.html

Regression filters operate on the assumption that the slowly varying clutter component in the signal can be approximated by a polynomial [HdVD$^+$95]. The least-squares fit to the low-frequency clutter component in the echo signal is then subtracted from the signal. Regression filters therefore work on a different concept compared to FIR or IIR filters, which are based on theories that signals are the superposition of sinusiods. Thus, the regression filter design is not based upon commonly known impulse or frequency response concepts. In order to compare the regression filters to traditional filters (IIR, FIR), a frequency response can be calculated with Eq. 4.5. The polynomials can be chosen to form an orthonormal basis for a $K$-dimensional clutter subspace of the $N$-dimensional signal space. The least$

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