|
|
|
Wavelet threshold method of resolving noise interference in periodic short-impulse signals chaotic detection |
| Deng Ke(邓科)†, Zhang Lu(张路), and Luo Mao-Kang(罗懋康)‡ |
| Institute of Mathematics, Sichuan University, Chengdu 610065, China |
|
|
|
|
Abstract The chaotic oscillator has already been considered as a powerful method to detect weak signals, even weak signals accompanied with noises. However, many examples, analyses and simulations indicate that chaotic oscillator detection system cannot guarantee the immunity to noises (even white noise). In fact the randomness of noises has a serious or even a destructive effect on the detection results in many cases. To solve this problem, we present a new detecting method based on wavelet threshold processing that can detect the chaotic weak signal accompanied with noise. All theoretical analyses and simulation experiments indicate that the new method reduces the noise interferences to detection significantly, thereby making the corresponding chaotic oscillator that detects the weak signals accompanied with noises more stable and reliable.
|
Received: 06 July 2009
Revised: 15 September 2009
Accepted manuscript online:
|
|
PACS:
|
05.45.Gg
|
(Control of chaos, applications of chaos)
|
| |
05.45.Vx
|
(Communication using chaos)
|
| |
05.40.Ca
|
(Noise)
|
|
| Fund: Project supported by the National
Natural Science Foundation of China (Grant No.~10731050) and the
Program for Changjiang Scholars and Innovative Research Team in
University of Ministry of Education of China (Grant No.~IRTO0742). |
Cite this article:
Deng Ke(邓科), Zhang Lu(张路), and Luo Mao-Kang(罗懋康) Wavelet threshold method of resolving noise interference in periodic short-impulse signals chaotic detection 2010 Chin. Phys. B 19 030506
|
| [1] |
Zhang J S 2001 Chin. Phys. 10 97
|
| [2] |
Zhang S H and Shen K 2002 Chin. Phys. 11 894
|
| [3] |
Li Y, Yang B J, Lin H B and Liu X H 2005 Acta Phys. Sin. 54 1994(in Chinese)
|
| [4] |
Wang F P 2001 Acta Phys. Sin. 50 1019 (in Chinese)
|
| [5] |
Short K M 1994 Int. J. Bifur. Chaos 49 59
|
| [6] |
Leung H and Lo T 1993 IEEE J. Oceanic Engin. 18 287
|
| [7] |
Wang L Z and Zhao W L 2005 Acta Phys. Sin. 54 4038 (in Chinese)
|
| [8] |
Leung H 1987 IEEE Trans. Neural Networks 12 1133
|
| [9] |
Haykin S and Li X B 1995 Proc. IEEE 83 94
|
| [10] |
Wang G Y 1999 IEEE Trans. Indus. Electron. 46 440
|
| [11] |
Wang Y S 2008 Acta Phys. Sin. 57 2053 (in Chinese)
|
| [12] |
Li M, Ma X K, Dai D and Zhang H 2005 Acta Phys. Sin. 54 1084 (in Chinese)
|
| [13] |
Li Y and Yang B J 2002 Journal of Electronics 19 431
|
| [14] |
Li Y 2003 Acta Metrologica. Sin. 24 317
|
| [15] |
Niu Y J 2008 Acta Phys. Sin. 57 7535 (in Chinese)
|
| [16] |
Wang G Y, Chen D J and Lin J Y 1998 Acta Electronica Sin. 26 38
|
| [17] |
Lima E and Pettini M 1957 Les Methods Nouvelles de la Mecanigue Celeste (New York:Dover) p1892
|
| [18] |
Stephane M 1998 A Wavelet Tour of Signal Processing (New York: Academic) p340
|
| [19] |
Donoho D and Johnstone I 1994 Biometrika 81 425
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
