A novel method of image enhancement based on the fractional Fourier transform

Author(s):  
Xue Mei Li ◽  
Li Li ◽  
Xiu Ying Li
2021 ◽  
Vol 11 (2) ◽  
pp. 583
Author(s):  
Zhichen Zhang ◽  
Haiyan Wang ◽  
Haiyang Yao

Fractional Fourier transform (FrFT) is a useful tool to detect linear frequency modulated (LFM) signal. However, the detection performance of the FrFT-based method will deteriorate drastically in underwater multi-path environment. This paper proposes a novel method based on time-reversal and fractional Fourier transform (TR-FrFT) to solve this problem. We make use of the focusing ability of time-reversal to mitigate the influence of multi-path, and then improve the detection performance of FrFT. Simulated results show that, compared to FrFT, the difference between peak value and maximum pseudo-peak value of the signal processed by TR-FrFT is improved by 8.75 dB. Lake experiments results indicate that, the difference between peak value and maximum pseudo-peak value of the signal processed by TR-FrFT is improved by 7.6 dB. The detection performance curves of FrFT and TR-FrFT detectors with simulated data and lake experiments data verify the effectiveness of proposed method.


2011 ◽  
Vol 13 (1) ◽  
pp. 37-53 ◽  
Author(s):  
M. G. El-Mashed ◽  
M. I. Dessouky ◽  
M. El-Kordy ◽  
O. Zahran ◽  
F. E. Abd El-Samie

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