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Amplitude demodulation of interferometric signals with a 2D Hilbert transform

Amplitude demodulation of interferometric signals with a 2D Hilbert transform
File Size:
321.99 kB
Author:
Maciej Wielgus
Email:
maciek[dot]wielgus[at]gmail[dot]com
Date:
13 August 2013
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Abstract: The Hilbert transform and the analytic signal are widely known tools of 1D signal pro cessing. Th ey are useful for many applications, such as AM-FM demodulation or edge detection. Developing the multidimensional generalization of this method is particularly important for the purposes of image processing. Unfortunately, it is not obvious how to generalize the transform, keeping its essential properties. In this paper I survey some ideas: basic approaches with spectral masks imitating 1D signum function, the spiral phase operator method and the method involving quaternionic Fourier transform. I present and compare how these algorithms are useful for the amplitude demodulation of typical interferometric images

Keywords: Hilbert transform, image analysis, Fourier transform, demodula tion.

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BibTeX:

@article{Wielgus2011,
  author = {Maciej Wielgus},
  title = {Amplitude demodulation of interferometric signals with a 2D Hilbert transform},
  journal = {Challenges of Modern Technology},
  year = {2011},
  volume = {2},
  number = {1},
  pages = {8-11},
  url = {http://www.journal.young-scientists.eu/index.php/isuues/file/3-amplitude-demodulation-of-interferometric-signals-with-a-2d-hilbert-transform}
}
 
 

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