Hölder norm estimate for a Hilbert transform in Hermitian Clifford analysis [PDF]
A Hilbert transform for Holder continuous circulant (2 x 2) matrix functions, on the d-summable (or fractal) boundary I" of a Jordan domain Omega in a"e(2n) , has recently been introduced within the framework of Hermitean Clifford analysis. The main goal
Abreu Blaya, Ricardo +4 more
core +2 more sources
A New Fast Approximate Hilbert Transform with Different Applications
A new and fast approximate Hilbert transform based on subband decomposition is presented. This new algorithm is called the subband (SB)-Hilbert transform.
Abdulnasir Hossen
doaj +1 more source
A Hilbert transform for hermitean matrix functions on fractal domains [PDF]
We consider Holder continuous circulant (2 × 2) matrix functions defined on the fractal boundary of a Jordan domain in R2n. The main goal is to establish a Hilbert transform for such functions, within the framework of Hermitean Clifford analysis. This is
Abreu Blaya, Ricardo +4 more
core +2 more sources
In this work, we present a novel Hilbert-twin method to compute an envelope and the logarithmic decrement, δ, from exponentially damped time-invariant harmonic strain signals embedded in noise.
Magalas L.B., Majewski M.
doaj +1 more source
Time-Frequency Analysis of Noisy Vibration Signal Based on Improved Hilbert-Huang Transform
Aimed at the phenomenon of modal confusion and lack of practical significance of instantaneous frequency caused by Hilbert-Huang transform (HHT) noisy vibration signal time-frequency analysis, complete ensemble empirical mode decomposition with adaptive ...
SUN Miao, YANG Junkai, WU Li
doaj +1 more source
Pulse Signal Analysis Method Based on Improved HHT [PDF]
The traditional Hilbert-Huang Transform(HHT) has low accuracy in Empirical Mode Decomposition(EMD) when processing pulse signals,and there are mode mixing problems.In response to this problem,this paper proposes an improved HHT method.Combined with Time ...
KUANG Xue, LI Zhi, WANG Yongjun, ZHANG Shaorong
doaj +1 more source
Vector valued inequalities for families of bilinear Hilbert transforms and applications to bi-parameter problems [PDF]
Muscalu, Pipher, Tao and Thiele \cite{MPTT} showed that the tensor product between two one dimensional paraproducts (also known as bi-parameter paraproduct) satisfies all the expected $L^p$ bounds.
Bateman +11 more
core +1 more source
A sufficient condition for the boundedness of operator-weighted martingale transforms and Hilbert transform [PDF]
Let W be an operator weight taking values almost everywhere in the bounded positive invertible linear operators on a separable Hilbert space H. We show that if W and its inverse W−1 both satisfy a matrix reverse Holder property introduced in [2], then ...
Pott, S.
core +1 more source
Criterion on Lp1×Lp2→Lq-Boundedness for Oscillatory Bilinear Hilbert Transform
We investigate the bilinear Hilbert transform with oscillatory factors and the truncated bilinear Hilbert transform.
Zuoshunhua Shi, Dunyan Yan
doaj +1 more source
Applying the Hilbert--Huang Decomposition to Horizontal Light Propagation C_n^2 data [PDF]
The Hilbert Huang Transform is a new technique for the analysis of non--stationary signals. It comprises two distinct parts: Empirical Mode Decomposition (EMD) and the Hilbert Transform of each of the modes found from the first step to produce a Hilbert ...
Chang, Mark P. J. L. +4 more
core +3 more sources

