@Article{JICS-4-115,
author = {Abbas Hasan Kattoush},
title = {A Hilbert Transform N-Dimensional Noisy Phase Unwrapping Algorithm},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {4},
number = {2},
pages = {115--123},
abstract = { Phase  unwrapping  arises  as  a  key  step  in  several  imaging  technologies,  from  which  we 
emphasize  remote  sensing  applications  like  terrain  analysis  and  generation,  topographic  mapping, 
interferometric synthetic aperture radar (ISAR). Due to various decorrelation factors, there is much noise in 
phase images. Phase noise degrades the visual quality of images and interferograms, increases the errors of 
results  derived  from  the  ISAR  interferogram,  and  obstruct  phase  unwrapping.  Hilbert  transform  (HT)  as  a 
phase  unwrapping  techniques  was  recently  proposed,  and  its  behavior  in  presence  of  noise  is  unknown.  In 
this paper, one-dimensional (1-D) HT phase unwrapping algorithm is proposed to detect and eliminate phase 
discontinuities  in  N-dimensional  (N-D)  noisy  phase  arrays.  The  behavior  of  this  method  in  presence  of 
different noise levels is studied and compared with the other approach of phase jump detection. The phase 
noise  filtration  problem  and  its  effect  on  proposed  algorithm  behavior  are  considered.  Tests  of  method 
presented illustrate the validity and effectiveness of proposed algorithm for difficult problems with noisy and 
discontinuous original phases. 
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22753.html}
}