<title>Theoretical analysis of the projection error onto discrete wavelet subspaces</title>

For the non-stationary signal denoising, an effective method for dropping ambient noise is based on discrete wavelet transform. Also, in order to minimize the loss of useful signal and get high SNR in the wavelet denoising, it is very important that the thresholding is suitable for the characteristics of signal. In this paper, we propose new thresholding method to reduce an ambient noise and to detect effectively the useful signal. First, we analyze four kinds of previous wavelet threshold functions (Hard, Soft, Garrote and Hyperbola) and propose new wavelet threshold function compromised between Garrote and Hyperbola threshold functions. Next, a threshold value is selected by value to reduce exponentially according to the wavelet decomposition level. We also analyze a continuity and monotonicity, and prove the logic of new threshold function. The results of theoretical analysis show that new threshold function solves the problems of constant error and discontinuity of previous threshold functions, and minimizes the information loss of useful signal. The results of experiment show that SNR of new thresholding method is highest and RMSE and Entropy are smallest. The results of theoretical analysis and experiment show that new thresholding method is more appropriate to wavelet denoising for dropping ambient noise than previous methods.

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Analysis and short-time extrapolation of stock market indexes through projection onto discrete wavelet subspaces

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2009.11.009 ◽

2010 ◽

Vol 11 (4) ◽

pp. 3139-3154 ◽

Cited By ~ 5

Author(s):

Laurent Gosse

Keyword(s):

Stock Market ◽

Discrete Wavelet ◽

Wavelet Subspaces ◽

Market Indexes ◽

Short Time ◽

Time Extrapolation

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Microdiffraction Patterns of Small Metallic Particles II; Theoretical Analysis

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100055680 ◽

1982 ◽

Vol 40 ◽

pp. 668-669

Author(s):

A. Gómez ◽

P. Schabes-Retchkiman ◽

M. José-Yacamán ◽

T. Ocaña

Keyword(s):

Experimental Data ◽

Electron Diffraction ◽

Theoretical Analysis ◽

Size Range ◽

Dynamical Theory ◽

Metallic Particles ◽

Splitting Effect

The splitting effect that is observed in microdiffraction pat-terns of small metallic particles in the size range 50-500 Å can be understood using the dynamical theory of electron diffraction for the case of a crystal containing a finite wedge. For the experimental data we refer to part I of this work in these proceedings.

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Theoretical analysis of a monopole antenna with conducting flat disk above the earth

Electronics and Communications in Japan (Part I Communications) ◽

10.1002/ecja.1021.abs ◽

2001 ◽

Vol 84 (7) ◽

pp. 27-36

Author(s):

Aki Yuasa ◽

Daisuke Itatsu ◽

Naoki Inagaki ◽

Nobuyoshi Kikuma

Keyword(s):

Theoretical Analysis ◽

Monopole Antenna ◽

The Earth ◽

Flat Disk

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Context Aversion, Pavlovian Conditioning, and the Psychological Side Effects of Chemotherapy

European Psychologist ◽

10.1027/1016-9040.2.118 ◽

1997 ◽

Vol 2 (2) ◽

pp. 118-124

Author(s):

Geoffrey Hall

Keyword(s):

Animal Model ◽

Side Effects ◽

Theoretical Analysis ◽

Conditioned Response ◽

Behavioral Strategies ◽

Contextual Cues ◽

Anticipatory Nausea ◽

Laboratory Rats ◽

Anticipatory Nausea And Vomiting ◽

Parallel Case

Patients who have undergone several sessions of chemotherapy for cancer will sometimes develop anticipatory nausea and vomiting (ANV), these unpleasant side effects occurring as the patients return to the clinic for a further session of treatment. Pavlov's analysis of learning allows that previously neutral cues, such as those that characterize a given place or context, can become associated with events that occur in that context. ANV could thus constitute an example of a conditioned response elicited by the contextual cues of the clinic. In order to investigate this proposal we have begun an experimental analysis of a parallel case in which laboratory rats are given a nausea-inducing treatment in a novel context. We have developed a robust procedure for assessing the acquisition of context aversion in rats given such training, a procedure that shows promise as a possible animal model of ANV. Theoretical analysis of the conditioning processes involved in the formation of context aversions in animals suggests possible behavioral strategies that might be used in the alleviation of ANV, and we report a preliminary experimental test of one of these.

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