一種新的信號(hào)迭代恢復(fù)方法
A NEW ITERATIVE RESTORATION METHOD
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摘要: 本文給出了一種新的信號(hào)迭代恢復(fù)方法,其中估計(jì)算子Wk可以根據(jù)誤差算子Bk來(lái)選擇。在每一次迭代過(guò)程中,通過(guò)選擇適當(dāng)?shù)墓烙?jì)算子Wk可以盡可能的減小估計(jì)誤差因而使迭代運(yùn)算具有比較快的收斂速度。本文還對(duì)迭代方法的收斂性及噪聲影響所產(chǎn)生的誤差進(jìn)行了分析,并給出了普通方法與新方法進(jìn)行對(duì)比的計(jì)算例子。
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關(guān)鍵詞:
- 信號(hào)處理; 迭代恢復(fù); 卷積反演
Abstract: A new iterative method for signal restoration has been presented. Anestimate operator Wk that is related to error operator Bk in the restoration process is introduced to decrease the estimate error and increase the convergence rate. The effect of noise on the estimate process has been described. Finally, the method has been applied to the deconvolu-tion of a blurred signal, the results of which validate the theory. The comparison between presented method and general method has also been given. -
R.W. Schafer, R.M. Mersereau, M.A. Richards, Proc. IEEE, 69(1981)4, 432-450.[2]陳景良,近代分析數(shù)學(xué)概要,清華大學(xué)出版社,北京,1987年. -
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