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A spatio-temporal Gaussian-Conical wavelet with high aperture selectivity for motion and speed analysis
Extraction of motion parameters speed tuning continuous wavelet transform directional and conical wavelets
2012/5/25
The construction of a spatio-temporal wavelet and its tuning to speed was first realized in the 90s on the Morlet wavelet by M. Duval-Destin \cite{Duval-Destin91a,Duval-Destin92}. This enabled to demo...
Arbitrary-order Hilbert spectral analysis for time series possessing scaling statistics: a comparison study with detrended fluctuation analysis and wavelet leaders
Arbitrary-order Hilbert spectral analysis time series wavelet leaders
2011/8/5
Abstract: In this paper we present an extended version of Hilbert-Huang transform, namely arbitrary-order Hilbert spectral analysis, to characterize the scale-invariant properties of a time series dir...
Probing Tissue Multifractality Using Wavelet based Multifractal Detrended Fluctuation Analysis: Applications in Precancer Detection
Fractal Multifractal detrended fluctuation analysis Phase contrast imaging Refractive index Cancer diagnosis
2011/8/4
Abstract: The refractive index fluctuations in the connective tissue layer (stroma) of human cervical tissues having different grades of precancers (dysplasia) was quantified using a wavelet-based mul...
Organisation of joints and faults from 1-cm to 100-km scales revealed by optimized anisotropic wavelet coefficient method and multifractal analysis
Organisation of joints and faults wavelet coefficient method multifractal analysis
2009/11/16
The classical method of statistical physics deduces the macroscopic behaviour of a system from the organization and interactions of its microscopical constituents. This kind of problem can often be so...
Cross wavelet analysis:significance testing and pitfalls
Cross wavelet analysis significance testing pitfalls
2009/11/11
In this paper, we present a detailed evaluation of cross wavelet analysis of bivariate time series. We develop a statistical test for zero wavelet coherency based on Monte Carlo simulations. If at lea...
Bayesian modeling and significant features exploration in wavelet power spectra
Bayesian modeling significant features exploration wavelet power spectra
2009/11/2
This study proposes and justifies a Bayesian approach to modeling wavelet coefficients and finding statistically significant features in wavelet power spectra. The approach utilizes ideas elaborated i...
Quantum computation of multifractal exponents through the quantum wavelet transform
Quantum computation multifractal exponents quantum wavelet transform
2010/4/7
We study the use of the quantum wavelet transform to extract efficiently information about the multifractal exponents for multifractal quantum states. We show that, combined with quantum simulation al...
Application of Bipartite Entangled States to Quantum Mechanical
Version of Complex Wavelet Transforms
entangled states complex wavelet transform
2007/8/15
2006Vol.45No.4pp.609-613DOI:
Application of Bipartite Entangled States to Quantum Mechanical
Version of Complex Wavelet Transforms
FAN Hong-Yi,1,2 LU Hai-Liang,1 and XU Xue-Fen3
...
Quantum Mechanics Version of Wavelet Transform Studied by
Virtue of IWOP Technique
wavelet transform IWOP technique squeezing-displacing
operator
2007/8/15
2004Vol.41No.5pp.681-684DOI:
Quantum Mechanics Version of Wavelet Transform Studied by
Virtue of IWOP Technique
FAN Hong-Yi1,2 and LÜ Jian-Feng1
1 Department of Phy...
2004Vol.41No.3pp.335-338DOI:
Solitary Wave and Wavelet
LIU Shi-Da, FU Zun-Tao, LIU Shi-Kuo, XIN Guo-Jun, and LIANG Fu-Ming
School of Physics, Peking University, Beiji...
Statistical and Wavelet Analysis of the Solar Wind Data
Statistical and Wavelet Analysis the Solar Wind Data
2010/10/14
We perform statistical and wavelet analysis of three time series based on the solar wind velocity of the year 2000, the original time series and two filtered components. We use the Haar Wavelet Transf...