Application of Orthogonal Wavelet Decomposition to Plasma Fluctuation Study

1999 ◽  
Vol 38 (Part 2, No. 11B) ◽  
pp. L1345-L1347 ◽  
Author(s):  
Leonid G. Bruskin ◽  
Atsushi Mase ◽  
Yasuyuki Yagi ◽  
Teruo Tamano
2013 ◽  
Vol 340 ◽  
pp. 722-726
Author(s):  
Yan Li ◽  
Yao Chen

The traffic prediction carried out in the communication enterprises is of great significance for the optimization of the network configuration and the improvement of the communication quality. To solve the inaccurate prediction problem under the actual situation, a traffic prediction method based on the bi-orthogonal multi-scale wavelet algorithm is developed. The process of the wavelet decomposition and reconstruction are studied, and the reconstruction results for the different scales wavelet are obtained. Take a set of the special actual samples as the object, the traffic prediction for the future dates is completed, and compared with the actual results. The results show that the relative error between the proposed traffic prediction model and the actual results is less than 10%. The bi-orthogonal multi-scale wavelet algorithm has some advantages as compared with other similar ones, which will provide the important technology means for the traffic prediction forecasting and assessing in the various types of communication enterprises.


Author(s):  
Hui Li ◽  
Hui Hu ◽  
Toshio Kobayashi ◽  
Tetsuo Saga ◽  
Nobuyuki Taniguchi

The orthogonal multi-resolution analysis was applied to the digital imaging photographs of lobed mixing jets for revealing the time varying turbulent structures of various scales. The image components of five different broad scales are obtained, and each image components can provide information on the multi-scale turbulent structures. The complex vortical structures of various scales were clearly extracted and visualized at different instances.


2021 ◽  
Vol 15 ◽  
Author(s):  
Feifei Qi ◽  
Wenlong Wang ◽  
Xiaofeng Xie ◽  
Zhenghui Gu ◽  
Zhu Liang Yu ◽  
...  

Achieving high classification performance is challenging due to non-stationarity and low signal-to-noise ratio (low SNR) characteristics of EEG signals. Spatial filtering is commonly used to improve the SNR yet the individual differences in the underlying temporal or frequency information is often ignored. This paper investigates motor imagery signals via orthogonal wavelet decomposition, by which the raw signals are decomposed into multiple unrelated sub-band components. Furthermore, channel-wise spectral filtering via weighting the sub-band components are implemented jointly with spatial filtering to improve the discriminability of EEG signals, with an l2-norm regularization term embedded in the objective function to address the underlying over-fitting issue. Finally, sparse Bayesian learning with Gaussian prior is applied to the extracted power features, yielding an RVM classifier. The classification performance of SEOWADE is significantly better than those of several competing algorithms (CSP, FBCSP, CSSP, CSSSP, and shallow ConvNet). Moreover, scalp weight maps of the spatial filters optimized by SEOWADE are more neurophysiologically meaningful. In summary, these results demonstrate the effectiveness of SEOWADE in extracting relevant spatio-temporal information for single-trial EEG classification.


2015 ◽  
Vol 1117 ◽  
pp. 269-272
Author(s):  
Adrienn Dineva ◽  
Annamária R. Várkonyi-Kóczy ◽  
József Kázmér Tar

This paper proposes a novel anytime fuzzy supervisory expert system for online signal processing. We demonstrate via simulations that this system is able to follow slowly varying signals and heal the signal in case of missing input data. In the presence of contaminating noise, the supervisory system performs the automatic wavelet shrinkage procedure selection, which ensures to pick the proper algorithm that is the most efficient in the given scenario. The necessary level of wavelet decomposition is determined online by the fuzzy supervisory expert. The system applies orthogonal wavelet functions in order to reduce significantly the processing time of reconstruction. The paper also shows how the online threshold estimator selection module ensures the highest denoising efficiency by selecting the most suitable algorithm.


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