Full text: Resource and environmental monitoring (A)

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Figure 9: Scatter plot of unmodulated phase vis-a-vis phase 
unwrapped using quality guided path following 
algorithm for a) SNR=0.2, b) SNR=0.3, d) SNR=0.4 
and SNR=0.5 
The scatter plots of unwrapped phase vis-a-vis the absolute 
phase is useful to estimate the number of isolated patches along 
any profile. Such scatter plots for quality guided path following 
algorithm and weighted multigrid algorithm are shown in 
Figures 9 and 10 respectively. The number patches of multigrid 
algorithm are always less than that for quality-guided 
algorithms. Moreover, all patches also exhibit a positive 
correlation, which is not the case for quality-guided path 
following algorithm. 
  
a 
Laird Uewerrot Whos ale odevol 
SNR=04 
  
  
Verte Phor 
p^ 
p 
  
re NRT a et SNR SN. e 
  
Figure 10: Scatter plot of unmodulated phase vis-a-vis phase 
unwrapped using weighted multigrid algorithm for 
a) SNR=0.2, b) SNR=0.3, d) SNR=0.4 and 
SNR=0.5 
Wrapped Phase 
30 
  
Figure 11. Simulated interferogram with SNR=0.5 unwrapped 
using quality guided algorithm with a perfect 
quality map 
IAPRS & SIS, Vol.34, Part 7, “Resource and Environmental Monitoring”, Hyderabad, India,2002 
Use of appropriate quality images always improves the phase 
unwrapping performance. A synthetic quality image derived 
from phase noise added during simulation, have found to 
improve the performances of both quality guided and multi- 
grid unwrapping techniques. Quality guided algorithm when 
supplied with phase quality image could unwrap even 
interferogram with SNR=0.5 to a single contiguous unwrapped 
image (Figure 11). However, in practice such quality maps are 
not obtainable from phase coherence images alone. 
6. CONCLUSIONS 
A number of phase unwrapping algorithms have been evaluated 
using simulated SAR interferograms at varying signal-to-noise 
(SNR) ratio. At low SNR of 0.1 and 0.2, all unwrapping 
algorithms perform equally well. However, at higher SNR 
values, weighted multigrid approach is most effective. Quality 
guided path following algorithm results next best performance 
at cheaper computational cost. Use of phase quality maps 
always improves unwrapping performances and yields 
acceptable solutions at higher SNR. 
Acknowledgements: The author would like to thank Dr. 
Shailesh R. Nayak, Group Director, Marine and Water 
Resources Group, Space Applications Centre (ISRO), 
Ahmedabad, INDIA for supporting this study. 
REFERENCES 
Akerson, J.J., Yang, Y.E., Hara, Y., Wu, B-I, Kang, J.A., 2000. 
Automatic unwrapping algorithms in Synthetic Apérture Radar 
(SAR) interferometry. IEICE Tran. Electron., E83-C (12), pp. 
1896-1904. 
Gens, R., and Genderen, J.L. van, 1996. SAR interferometry- 
issues, techniques and applications, International Journal of 
Remote Sensing, 17(10), pp. 1803-1835, 1996. 
Ghiglia, D.C., and. Pritt, M.D., 1998. Two-dimensional phase 
unwrapping : theory, algorithms, and software. Wiley- 
Interscience Publication, ISBN 0-471-24935-1, 493p. 
Goldstein, R.M., Zebker, H.A., and Werner, C.L., 1988. 
Satellite radar interferometry : two-dimersional phase 
unwrapping. Radio Science, 23(4), pp. 713-720. 
Massonnet, D., 1997. Satellite Radar Interferometry. Scientific 
American, 276(2), pp. 32-39. 
Pritt, M.D., 1996. Phase unwrapping by means of multigrid 
techniques for interferometric SAR. 7EEE Transactions on 
Geosciences and Remote Sensing, 34(3), pp. 728-738. 
Zebker, H. and Villasenor, J., 1992. Decorrelation in 
interferometric radar echoes, IEEE Transactions on 
Geosciences and Remote Sensing, 30, 950-959. 
   
  
   
  
  
  
    
    
   
   
   
    
    
   
   
   
    
   
    
    
    
   
  
  
    
     
   
   
   
    
   
    
  
  
  
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