Communications - Scientific Letters of the University of Zilina 2004, 6(4):28-33 | DOI: 10.26552/com.C.2004.4.28-33

SD L-filter for filtration of images corrupted by mixed noise in frequency domain

Robert Hudec1
1 Department of Telecommunications, University of Zilina, Slovak Republic

Slower filter coefficients adaptation of adaptive LMS (Least Mean Square) filters in time domain can be improved by their constrained or unconstrained modifications, but not rapidly. Other alternative is its realisation in frequency domain, where filtered signal is de-correlated and adaptation algorithm converges faster. Based on idea of adaptation in frequency domain there was developed L-filter in frequency domain.To the group of adaptive non-linear digital filters belong adaptive L-filters (L-F), whose outputs are linear combination of order statistics. They have a simple design and they know how to adapt own coefficients to various noise types. For powerful suppression of mixed noise there was designed a signal-dependent filter structure, which consists of two L-Fs and one SID (Spatial Impulse Detector). The former suppresses noise in homogeneous regions, the latter preserves details of a filtered image.This paper is devoted to the design of SD LMS L-F structure in frequency domain, which uses the SMD detector (Spatial Median Detector). The aim of this design is to obtain optimal parameters of SD LMS L-F such as threshold, level and adaptation step or optimalweight coefficients.

Keywords: adaptive LMS L-filters, signal-dependent structure, spatial impulse detector, fast fourier transform

Published: December 31, 2004  Show citation

ACS AIP APA ASA Harvard Chicago Chicago Notes IEEE ISO690 MLA NLM Turabian Vancouver
Hudec, R. (2004). SD L-filter for filtration of images corrupted by mixed noise in frequency domain. Communications - Scientific Letters of the University of Zilina, 6(4), 28-33. doi: 10.26552/com.C.2004.4.28-33
Share...
Download citation
  • BibTeX (.bib)
  • Bookends (.ris)
  • EasyBib (.ris)
  • EndNote (.enw)
  • EndNote 8 (.xml)
  • ISI WoS (.isi)
  • Medlars (.medlars)
  • Mendeley (.ris)
  • MODS (.xml)
  • Papers (.ris)
  • RefWorks (.txt)
  • RefManager (.ris)
  • RIS (.ris)
  • MS Word (.xml)
  • Zotero (.ris)
    • Open full article

    References

    1. KOTROPOULOS, C., PITAS, I.: Adaptive Nonlinear Filters for Digital Signal/Image Processing, Control and Dynamic Systems, C. T. Leondes, Vol. 67, San Diego CA, Academic press, pp. 263-317, 1994.
    2. BRIGHAM, E. O.: The Fast Fourier Transform and Its Applications, Prentice-Hall, Englewood Cliffs, NJ, 1988.
    3. KONTROPOULOS, C., PITAS, I.: Adaptive LMS L-Filters for Noise Suppression in Image, IEEE Transaction on Image Processing, vol.5, no. 12, pp. 1596-1609, Dec. 1996. Go to original source...
    4. HUDEC, R., MARCHEVSKÝ, S.: Extension of impulse detectors to spatial dimension and their utilisation as switch in the LMS L-SD filter, Radioengineering, vol. 10, no. 1, pp. 11-15, April 2001.
    5. HUDEC, R.: Filtration of noisy images corrupted by mixed noise by modifications of adaptive L-filters (in Slovak), PhD. Thesis, Košice, July 2002.
    6. MOUCHA, V., MARCHEVSKÝ, S., LUKÁČ, R., STUPÁK, CS.: Digital filtration of image signals. Vydavateľstvo Vojenskej leteckej akadémie M.R. Štefánika v Košiciach. Košice, str. 365 (in Slovak), December 2000.
    7. GONZALEZ, R., WOODS, R.: Digital Image Processing, Addison-Wesley Publishing Company, 1992.

    This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.


    Return to the content