A Hilbert Transform N-Dimensional Noisy Phase Unwrapping Algorithm
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@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}
}
TY - JOUR
T1 - A Hilbert Transform N-Dimensional Noisy Phase Unwrapping Algorithm
AU - Abbas Hasan Kattoush
JO - Journal of Information and Computing Science
VL - 2
SP - 115
EP - 123
PY - 2024
DA - 2024/01
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22753.html
KW - Satellite image processing
KW - phase unwrapping
KW - N-dimensional processing
KW - Hilbert transform
KW -
modulo π2 operation
KW - phase noise filtration.
AB - 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.
Abbas Hasan Kattoush. (2024). A Hilbert Transform N-Dimensional Noisy Phase Unwrapping Algorithm.
Journal of Information and Computing Science. 4 (2).
115-123.
doi:
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