### Abstract

In this study, we proposed a new method to calculate the fractal dimension by using a wavelet transform which is a time-frequency analysis method and try to evaluate the change of the similar structure in an unsteady signal. The procedure of our method is: 1) carrying out wavelet transform of the unsteady signal and obtaining the information about both time and frequency. 2) calculating the fractal dimension at each time from the wavelet transform of the unsteady signal. 3) evaluating change of the similar structure in the unsteady signal by using the fractal dimension obtained. Then the unsteady turbulence, such as jet flow and tumble flow in an engine were analyzed by using our approach. As a result, the change of the eddy structure can be shown very well.

Original language | English |
---|---|

Pages (from-to) | 204-211 |

Number of pages | 8 |

Journal | Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C |

Volume | 68 |

Issue number | 1 |

Publication status | Published - Jan 2002 |

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### Keywords

- Fractal Analysis
- Signal Analysis
- Similar Structure
- Unsteady Turbulence
- Wavelet Transform

### ASJC Scopus subject areas

- Mechanical Engineering

### Cite this

*Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C*,

*68*(1), 204-211.

**A study of fractal analysis of the unsteady signal using wavelet transform.** / Zhang, Zhong; Ishibashi, Kengo; Kawabata, Hiroaki; Tomita, Eiji.

Research output: Contribution to journal › Article

*Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C*, vol. 68, no. 1, pp. 204-211.

}

TY - JOUR

T1 - A study of fractal analysis of the unsteady signal using wavelet transform

AU - Zhang, Zhong

AU - Ishibashi, Kengo

AU - Kawabata, Hiroaki

AU - Tomita, Eiji

PY - 2002/1

Y1 - 2002/1

N2 - In this study, we proposed a new method to calculate the fractal dimension by using a wavelet transform which is a time-frequency analysis method and try to evaluate the change of the similar structure in an unsteady signal. The procedure of our method is: 1) carrying out wavelet transform of the unsteady signal and obtaining the information about both time and frequency. 2) calculating the fractal dimension at each time from the wavelet transform of the unsteady signal. 3) evaluating change of the similar structure in the unsteady signal by using the fractal dimension obtained. Then the unsteady turbulence, such as jet flow and tumble flow in an engine were analyzed by using our approach. As a result, the change of the eddy structure can be shown very well.

AB - In this study, we proposed a new method to calculate the fractal dimension by using a wavelet transform which is a time-frequency analysis method and try to evaluate the change of the similar structure in an unsteady signal. The procedure of our method is: 1) carrying out wavelet transform of the unsteady signal and obtaining the information about both time and frequency. 2) calculating the fractal dimension at each time from the wavelet transform of the unsteady signal. 3) evaluating change of the similar structure in the unsteady signal by using the fractal dimension obtained. Then the unsteady turbulence, such as jet flow and tumble flow in an engine were analyzed by using our approach. As a result, the change of the eddy structure can be shown very well.

KW - Fractal Analysis

KW - Signal Analysis

KW - Similar Structure

KW - Unsteady Turbulence

KW - Wavelet Transform

UR - http://www.scopus.com/inward/record.url?scp=0036410323&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036410323&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0036410323

VL - 68

SP - 204

EP - 211

JO - Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

JF - Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

SN - 0387-5024

IS - 1

ER -