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Metrology and Measurement Systems

The Journal of Committee on Metrology and Scientific Instrumentation of Polish Academy of Sciences

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Comparative analysis of variants of Gabor-Wigner transform for cross-term reduction

Muhammad Ajab
  • Muhammad Ali Jinnah University (MAJU), Islamabad, Pakistan
  • Email:
/ Imtiaz Ahmad Taj
  • Muhammad Ali Jinnah University (MAJU), Islamabad, Pakistan
/ Nabeel Ali Khan
  • Federal Urdu University (FUUAST), Islamabad, Pakistan
Published Online: 2012-10-31 | DOI: https://doi.org/10.2478/v10178-012-0043-6


Gabor Wigner Transform (GWT) is a composition of two time-frequency planes (Gabor Transform (GT) and Wigner Distribution (WD)), and hence GWT takes the advantages of both transforms (high resolution of WD and cross-terms free GT). In multi-component signal analysis where GWT fails to extract auto-components, the marriage of signal processing and image processing techniques proved their potential to extract autocomponents. The proposed algorithm maintained the resolution of auto-components. This work also shows that the Fractional Fourier Transform (FRFT) domain is a powerful tool for signal analysis. Performance analysis of modified fractional GWT reveals that it provides a solution of cross-terms of WD and blurring of GT.

Keywords: Wigner Distribution; Gabor Transform; Gabor Wigner Transform; Fractional Fourier Transform.

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About the article



Published Online: 2012-10-31

Published in Print: 2012-10-01

Citation Information: Metrology and Measurement Systems, ISSN (Online) , ISSN (Print) 0860-8229, DOI: https://doi.org/10.2478/v10178-012-0043-6. Export Citation

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