A Novel Time-Frequency Distribution for the Short-time Signal

2021 ◽  
Author(s):  
Gan Quan ◽  
Tang Jie ◽  
Song Huan Huan ◽  
Wen Hong
Keyword(s):  
Frequency Distribution ◽  
Time Signal ◽  
Time Frequency ◽  
Short Time ◽  
Time Frequency Distribution

Synchronous Averaging of Time-Frequency Distribution With Application to Machine Condition Monitoring

2007 ◽  
Vol 129 (4) ◽  
pp. 441-447 ◽  
Author(s):  
LiMin Zhu ◽  
Han Ding ◽  
Xiang Yang Zhu
Keyword(s):  
Frequency Distribution ◽  
Region Of Interest ◽  
Time Signal ◽  
Time Frequency ◽  
Average Reference ◽  
Analysis Technique ◽  
Time Signals ◽  
Discrete Time Observations ◽  
Gray Level Image ◽  
Time Frequency Distribution

A novel signal analysis technique capable of detecting periodic bursts of exponentially decaying oscillation from noisy discrete-time observations is presented. The time-frequency distribution of the signal is viewed as a series of time signals corresponding to different frequency variables, and each time signal is processed with the technique of synchronous average scanning over a frequency region of interest. The energies of the outputs corresponding to different frequency bands and different average reference frequencies are recorded in a 2D array and depicted as a gray level image. Detection of the signal of interest leads itself to the identification of the spot in the image. The period of the impulse train and the frequency of the oscillation can be further estimated from the location of the spot. Examples that diagnose machine faults under complicated conditions are given to confirm the validity of the approach.

scholarly journals A System-of-Systems Perspective on Frequency Estimation: Time-Frequency Distribution of Multiple LFM Signals

2021 ◽  
Author(s):  
Ruolun Liu ◽  
Xueqin Zhang ◽  
Rui Huang
Keyword(s):  
Frequency Distribution ◽  
Impulse Response ◽  
Frequency Estimation ◽  
System Of Systems ◽  
Signal Frequency ◽  
Accurate Estimation ◽  
Time Frequency ◽  
Systems Perspective ◽  
Short Time ◽  
Time Frequency Distribution

This chapter provides a System-of-Systems (SoS) perspective on a study of frequency estimation of signals with a focus on Linear Frequency Modulation (LFM) signals. This chapter describes an SoS approach for frequency estimation using Chirplet Transform (CT), Hough Transform (HT), and the Short Time Fourier Transform (STFT) with filtering viewpoint. The filtering viewpoint employs the filter impulse response length to obtain the best time-frequency concentration for accurate estimation of a signal frequency. The optimum impulse response length can be found by varying the length of the filter impulse response and observe the changing in the time-frequency distribution (TFD). The chapter shows that when the length of the impulse response becomes longer, the time-frequency concentration in TFD increases first and then decreases.

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