scholarly journals Wavelet analysis of the Besov regularity of Lévy white noise

2020 ◽  
Vol 25 (0) ◽  
Author(s):  
Shayan Aziznejad ◽  
Julien Fageot
Keyword(s):  
Wavelet Analysis ◽  
White Noise ◽  
Lévy White Noise ◽  
Besov Regularity

A wavelet analysis of 1/f and white noise in microwave transistors

2001 ◽  
Vol 41 (1) ◽  
pp. 99-104 ◽  
Author(s):  
Gaetano Ferrante ◽  
Dominique Persano Adorno
Keyword(s):  
Wavelet Analysis ◽  
White Noise ◽  
Microwave Transistors

First-passage problem for nonlinear systems under Lévy white noise through path integral method

2016 ◽  
Vol 85 (3) ◽  
pp. 1445-1456 ◽  
Author(s):  
Christian Bucher ◽  
Alberto Di Matteo ◽  
Mario Di Paola ◽  
Antonina Pirrotta
Keyword(s):  
Nonlinear Systems ◽  
White Noise ◽  
Path Integral ◽  
Integral Method ◽  
First Passage ◽  
Lévy White Noise ◽  
Path Integral Method ◽  
First Passage Problem

scholarly journals Interconnection between Wick multiplication and integration on spaces of nonregular generalized functions in the Lévy white noise analysis

2019 ◽  
Vol 11 (1) ◽  
pp. 70-88
Author(s):  
N.A. Kachanovsky ◽  
T.O. Kachanovska
Keyword(s):  
White Noise ◽  
Stochastic Integral ◽  
Noise Analysis ◽  
Stochastic Equations ◽  
Generalized Functions ◽  
Wick Product ◽  
Pettis Integral ◽  
White Noise Analysis ◽  
Lévy White Noise

We deal with spaces of nonregular generalized functions in the Lévy white noise analysis, which are constructed using Lytvynov's generalization of a chaotic representation property. Our aim is to describe a relationship between Wick multiplication and integration on these spaces. More exactly, we show that when employing the Wick multiplication, it is possible to take a time-independent multiplier out of the sign of an extended stochastic integral; establish an analog of this result for a Pettis integral (a weak integral); and prove a theorem about a representation of the extended stochastic integral via the Pettis integral from the Wick product of the original integrand by a Lévy white noise. As examples of an application of our results, we consider some stochastic equations with Wick type nonlinearities.

Research of Denoising Technology about Wavelet Analysis with Wiener Filter

2013 ◽  
Vol 333-335 ◽  
pp. 597-600
Author(s):  
Yao Bin Hu ◽  
Liang Bin Hu ◽  
Qiang Cheng
Keyword(s):  
Signal Processing ◽  
Wavelet Analysis ◽  
White Noise ◽  
Frequency Spectrum ◽  
Wiener Filter ◽  
Power Line ◽  
Wiener Filtering ◽  
Power Line Communication ◽  
Denoising Method

Interfering noise of power line is one of the important factors which affects the quality of power line communication (PLC). Its frequency spectrum has the character of the 1/f process and the great autocorrelation. The wavelet analysis is an important signal-processing tool. Selecting suitable wavelet analysis can turn non-white noise to white noise, followed by wiener filtering, we can achieve the purpose of denoising. This paper introduces a denoising method of combining wavelet analysis with wiener filtering. Experiment proves this method has a strong feasibility and practical value.

Sign in / Sign up

Export Citation Format

Share Document