A Fast Wavelet Algorithm for Analyzing One-Dimensional Signal Processing and Asymptotic Distribution of Wavelet Coefficients With Numerical Example and Simulation

2013 ◽  
Vol 42 (22) ◽  
pp. 4156-4169 ◽  
Author(s):  
M. Afshari
Keyword(s):  
Signal Processing ◽  
Asymptotic Distribution ◽  
Wavelet Coefficients ◽  
One Dimensional ◽  
Numerical Example ◽  
Fast Wavelet ◽  
Wavelet Algorithm

Fast wavelet algorithm of the Poisson integral

1998 ◽  
Vol 96 (2-3) ◽  
pp. 127-144 ◽  
Author(s):  
Tonglin Zhu ◽  
Wei Lin
Keyword(s):  
Poisson Integral ◽  
Fast Wavelet ◽  
Wavelet Algorithm

scholarly journals Convergence of a finite difference scheme for von Foerster equation with functional dependence

2012 ◽  
Vol 45 (3) ◽  
Author(s):  
Piotr Zwierkowski
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Functional Dependence ◽  
Spatial Variable ◽  
One Dimensional ◽  
Numerical Example

AbstractWe analyse a finite difference scheme for von Foerster–McKendrick type equations with functional dependence forward in time and backward with respect to one dimensional spatial variable. Some properties of solutions of a scheme are given. Convergence of a finite difference scheme is proved. The presented theory is illustrated by a numerical example.

V—The Brownian Movement of a One-Dimensional Non-Harmonic Oscillator

1968 ◽  
Vol 68 (1) ◽  
pp. 70-82
Author(s):  
A. J. Allnutt
Keyword(s):  
Approximate Solution ◽  
Simple Model ◽  
Harmonic Oscillator ◽  
Langevin Equation ◽  
Iterative Procedure ◽  
Anharmonic Oscillator ◽  
Crystalline Solid ◽  
Brownian Movement ◽  
One Dimensional ◽  
Numerical Example

SynopsisThe Langevin equation for the harmonic oscillator is solved by a different method from that normally used. The approximate solution for the case of the slightly anharmonic oscillator is then obtained by an iterative procedure and the results are illustrated by a numerical example based on a simple model of a crystalline solid.

Application of Z Transform in the Design of One-Dimensional Photonic Crystal

2013 ◽  
Vol 481 ◽  
pp. 225-229
Author(s):  
Juan Zhang ◽  
Wen Peng Fu ◽  
Rong Jun Zhang
Keyword(s):  
Signal Processing ◽  
Photonic Crystal ◽  
Digital Signal Processing ◽  
Design Method ◽  
Structural Parameters ◽  
Digital Signal ◽  
One Dimensional ◽  
Dimensional Photonic Crystal ◽  
Z Domain ◽  
Optical Structure

A method of designing onedimensional photonic crystal is presented from the perspective of Z-domain and digital signal processing. The optical structure and structural parameters for the desired filtering spectrum in reflection can be directly obtained by using the design method. A design example is given in the paper to verify the method.

A Hybrid Signal Processing Approach to Sensor Data Analysis

2003 ◽  
Author(s):  
Ruqiang Yan ◽  
Robert X. Gao
Keyword(s):  
Signal Processing ◽  
Spectral Analysis ◽  
Energy Content ◽  
Sensor Data ◽  
Wavelet Coefficients ◽  
Mother Wavelet ◽  
New Approach ◽  
Analysis Techniques ◽  
Processing Approach ◽  
Envelope Spectrum

This paper presents a hybrid signal processing approach combining the wavelet transform and spectral analysis. A new approach to selecting a mother wavelet for decomposition of vibration signals was demonstrated. Subsequently, the bestsuited decomposition scale was selected based on the energy content of the wavelet coefficients. Subsequently, the envelope spectrum of the wavelet coefficients at the best-suited decomposition scale was used to identify the defect and its location. Experimental analysis of signals from a defect-seeded bearing has shown that the developed approach is more efficient than the conventional spectral analysis techniques.

Application of Wavelet Analysis in Nondestructive Testing of Steel and Iron Materials and DSP Implementation

2013 ◽  
Vol 321-324 ◽  
pp. 1270-1273
Author(s):  
Pei Yue Liu ◽  
Jun Fen Wang ◽  
Bao Qiu Ma
Keyword(s):  
Signal Processing ◽  
Nondestructive Testing ◽  
Wavelet Analysis ◽  
Digital Signal Processing ◽  
Digital Signal ◽  
Analog Signal ◽  
Testing Device ◽  
Dsp Implementation ◽  
Testing Signal ◽  
Wavelet Algorithm

Aiming at improving the unideal testing result by means of analog signal processing, wavelet analysis is introduced in the nondestructive testing of steel and iron materials, based on the characteristics of electromagnetic nondestructive testing signal. According to the requirement of wavelet algorithm for hardware, the advantages of DSP, digital signal processing function and high calculating speed, design scheme of the steel electromagnetic nondestructive testing device is proposed in this paper. Experiments show that this method can extract detection signal effectively.

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