Time-frequency Signal Analysis in Machinery Fault Diagnosis: Review
K.H. Hui
1,a*
, Lim Meng Hee
2,b
, M. Salman Leong
3,c
and Ahmed M. Abdelrhman
4,d
1,2
RAZAK School of Engineering & Advanced Technology, Universiti Teknologi Malaysia, Malaysia
3,4
Faculty of Mechanical Engineering, Universiti Teknologi Malaysia, Malaysia
a
karhoou@yahoo.com,
b
mhlim@ic.utm.my,
c
salman@ic.utm.my,
d
ahmedrabak@yahoo.com
Keywords: Decomposition; Time-frequency Analysis; Wavelet; Machinery; Fault Diagnosis.
Abstract. Growing demand of machines such as gas turbine, pump, and compressor in power
generation, aircraft, and other fields have yielded the transformation of machine maintenance
strategy from corrective and preventive to condition-based maintenance. Real-time fault diagnosis
has grabbed attention of researchers in looking for a better approach to overcome current limitation.
The parameters of health condition in machinery could be monitored thus faults could be detected
and diagnosed by using signal analysis approach. Since some fault signals are non-stationary or
time dependent in nature, therefore time-frequency signal analysis is crucial for machinery fault
diagnosis. Common time-frequency signal analysis methods are such as short time Fourier
transform (STFT), wavelets analysis, empirical mode decomposition (EMD), Hilbert-Huang
transform (HHT), etc. This review provides a summary of the basic principle of signal analysis, the
most recent researches, and some advantages and limitations associated to each types of time-
frequency signal analysis method.
Introduction
Machinery condition monitoring and fault diagnosis have becoming more important with the
ever increasing needs of critical and advanced machines in power generation, aviation, chemical
industry, manufacturing industry, etc. Analysis of vibration signals in condition monitoring and
fault diagnosis has been practiced for decades. Vibration signal is typically analysed using Fast
Fourier Transform (FFT). However its capability to analyse non-stationary signals is very limited.
Therefore, time-frequency signal analysis has been developed to overcome the shortcoming of FFT-
based methods [1]. Short Time Fourier Transform (STFT) represents the earliest stage of time-
frequency signal analysis technique. It is an important breakthrough in time-frequency signal
analysis. STFT is localized in time and frequency simultaneously and therefore overcomes the
drawbacks of Fourier Transform based methods in processing non-stationary signals. Wavelet
transform (WT) was subsequently introduced to improve the signal analysis capability of STFT.
WT has gained much attention from researchers around the world since last decade. A significant
number of publications were published. Wavelet analysis was used to analyse gearbox fault [2],
ultrasonic measurement of liquid-layer thickness [3], beam damage diagnosis [4], and etc. Recently,
a relatively new self-adaptive signal analysis method namely the Empirical Mode Decomposition
(EMD) is being developed to analyze non-stationary signal. It provides an alternative for
researchers in non-stationary signal processing. This review aims to provide a brief review on the
subject of time-frequency signal analysis for machinery fault diagnosis application.
Short Time Fourier Transform (STFT)
The disadvantages of Fast Fourier Transform in processing non-stationary signals is overcome
by the introduction of Short Time Fourier Transform (STFT) which is localized in both time and
frequency concurrently [1]. The mathematical model of STFT is given in Eq. 1; [5].
= − e d (1)
Advanced Materials Research Vol. 845 (2014) pp 41-45
© (2014) Trans Tech Publications, Switzerland
doi:10.4028/www.scientific.net/AMR.845.41
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