scholarly journals Scaling functions generating fractional Hilbert transforms of a wavelet function

2015 ◽  
Vol 67 (3) ◽  
pp. 1275-1294 ◽  
Author(s):  
Ryuichi ASHINO ◽  
Takeshi MANDAI ◽  
Akira MORIMOTO
Keyword(s):  
Wavelet Function ◽  
Scaling Functions ◽  
Hilbert Transforms

Research on Ring Fire Diagnosis of DC Motor Based on Discrete Wavelet Lipschitz Index

2015 ◽  
Vol 9 (1) ◽  
pp. 33-37 ◽  
Author(s):  
Tang Zhao-ping ◽  
Yang Qing-ping ◽  
Tang Shuai ◽  
Zhang Wen-sheng ◽  
Sun Jian-ping
Keyword(s):  
Dc Motor ◽  
Wavelet Function ◽  
New Method ◽  
Discrete Wavelet ◽  
Modulus Maxima ◽  
The Way

The favorable localization features of discrete wavelet provide a new method for detecting the mutational points of electric spark signal. In this paper, by means of discrete wavelet function called db5, using the way of 6 scales wavelet, analyzing the gathered electric spark signal and by extracting the modulus maxima of the 6 layers detailed signal coefficient, the signal’s mutational points were located exactly and successfully. In addition, via the modulus maxima to calculate Lipschitz index, measuring signal’s singularity, the signal’s mutational time was confirmed. The result of the simulation shows that this method can detect not only the time and size effectively if the ring fire happens but also the failure of the locomotive traction dc motor, timely and precisely. In this way, the operation safety of the train is ensured.

scholarly journals A note on singular integrals with angular integrability

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Feng Liu
Keyword(s):  
Singular Integral ◽  
Singular Integrals ◽  
Function Spaces ◽  
Riesz Transforms ◽  
Hilbert Transforms ◽  
Rotation Method ◽  
Vector Valued Function ◽  
Vector Valued ◽  
L Log L

Abstract In this note we study the rough singular integral $$ T_{\varOmega }f(x)=\mathrm{p.v.} \int _{\mathbb{R}^{n}}f(x-y)\frac{\varOmega (y/ \vert y \vert )}{ \vert y \vert ^{n}}\,dy, $$ T Ω f ( x ) = p . v . ∫ R n f ( x − y ) Ω ( y / | y | ) | y | n d y , where $n\geq 2$ n ≥ 2 and Ω is a function in $L\log L(\mathrm{S} ^{n-1})$ L log L ( S n − 1 ) with vanishing integral. We prove that $T_{\varOmega }$ T Ω is bounded on the mixed radial-angular spaces $L_{|x|}^{p}L_{\theta }^{\tilde{p}}( \mathbb{R}^{n})$ L | x | p L θ p ˜ ( R n ) , on the vector-valued mixed radial-angular spaces $L_{|x|}^{p}L_{\theta }^{\tilde{p}}(\mathbb{R}^{n},\ell ^{\tilde{p}})$ L | x | p L θ p ˜ ( R n , ℓ p ˜ ) and on the vector-valued function spaces $L^{p}(\mathbb{R}^{n}, \ell ^{\tilde{p}})$ L p ( R n , ℓ p ˜ ) if $1<\tilde{p}\leq p<\tilde{p}n/(n-1)$ 1 < p ˜ ≤ p < p ˜ n / ( n − 1 ) or $\tilde{p}n/(\tilde{p}+n-1)< p\leq \tilde{p}<\infty $ p ˜ n / ( p ˜ + n − 1 ) < p ≤ p ˜ < ∞ . The same conclusions hold for the well-known Riesz transforms and directional Hilbert transforms. It should be pointed out that our proof is based on the Calderón–Zygmund’s rotation method.

Crossover scaling functions for exchange anisotropy:X Yand planar models

1975 ◽  
Vol 11 (9) ◽  
pp. 3445-3456 ◽  
Author(s):  
Surjit Singh ◽  
David Jasnow
Keyword(s):  
Scaling Functions

scholarly journals On the Fluctuation Induced Excess Conductivity in Stainless Steel Sheathed MgB2 Tapes

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Suchitra Rajput ◽  
Sujeet Chaudhary
Keyword(s):  
Magnetic Field ◽  
Experimental Data ◽  
Stainless Steel ◽  
Coherence Length ◽  
Three Dimensional ◽  
Excess Conductivity ◽  
Scaling Functions ◽  
Critical Fluctuations ◽  
Scaling Models

We report on the analyses of fluctuation induced excess conductivity in the - behavior in the in situ prepared MgB2 tapes. The scaling functions for critical fluctuations are employed to investigate the excess conductivity of these tapes around transition. Two scaling models for excess conductivity in the absence of magnetic field, namely, first, Aslamazov and Larkin model, second, Lawrence and Doniach model, have been employed for the study. Fitting the experimental - data with these models indicates the three-dimensional nature of conduction of the carriers as opposed to the 2D character exhibited by the HTSCs. The estimated amplitude of coherence length from the fitted model is ~21 Å.

Sign in / Sign up

Export Citation Format

Share Document