In this paper, as an active sensor imaging technique, a new target density function in form of the range density function(RDF) is developed by Gabor transform which is called short time Fourier transform (SIFT). It is shown that Gabor theory, (STFT) can be used as approach to imaging by active sensors by transmitting a waveform which is a kernel for this transform. Then an alternative signal dimension reduction approach is proposed to the developed technique by taking advantage of Walsh functions.


active sensor imaging SAR-ISAR target density function range density function Gabor transform Short time Fourier transform (STFT) Walsh function 


  1. 1.
    Chen, V.C., Ling, H.: Time-Frequency transforms for radar imaging and signal analysis,(2002)Google Scholar
  2. 2.
    Gupta, I.J.: “High-Resolution radar imaging using 2-D linear prediction” IEEE Transactions on antennas and propagation, 42 January (1994) 31–37CrossRefGoogle Scholar
  3. 3.
    Odendaal, J.W.: “2-D Radar Imaging,” Communications and Signal Processing, 1994. COMSIG-94., Proceedings of the 1994 IEEE South African Symposium on, 4 October (1994) 146–151Google Scholar
  4. 4.
    Prickett, M. J.: “Principles of inverse synthetic aperture radar(ISAR) imaging,” IEEE EAS-CON, (1980), 340–344Google Scholar
  5. 5.
    Ausherman, D.A., Kozma, A., Walker, J., Jones, H.M., Poggio, E.C.: “Developments in radar imaging,” IEEE Transactions on Aerospace and Electronic Systems 20 no.4 (1984) 363–400Google Scholar
  6. 6.
    Chen, V.C., Qian, S.: “Time frequency transform vs. fourier transform for radar imaging,” Time-Frequency and Time-Scale Analysis, 1996., Proceedings of the IEEE-SP International Symposium on, 18–21 June (1996) 389–392Google Scholar
  7. 7.
    Krone, A.W., Munson, D.C.: “A Fourier model of ISAR imaging of approaching targets,” Acoustics, Speech, and Signal Processing, 1992. ICASSP-92, 1992 IEEE International Conference on, 3 23–26 March (1992) 13–16Google Scholar
  8. 8.
    Wald, L.: “Some terms of reference in data fusion” IEEE Transactions on geoscience and remote sensing, 37, no.3, May (1999) 1190–1193MathSciNetCrossRefGoogle Scholar
  9. 9.
    Sarma, V.V.S., Raju, S.: “Multi-sensor data fusion and decision support for airborne target identification,” IEEE Transactions on systems, man, and cybernetics, 21 no.5 (1991)Google Scholar
  10. 10.
    Zhou, Y.T.: “Multi-sensor image fusion,” Image Processing, 1994. Proceedings. ICIP-94., IEEE International Conference, 1 13–16 November (1994) 193–197,.Google Scholar
  11. 11.
    Durrant-Whyte, H.F.: “elements of sensor fusion,” Intelligent Control, IEE Colloquium on, 19 Febuary (1991) 5/1–5/2Google Scholar
  12. 12.
    Varshney, P.K.: “multi-sensor data fusion,” electronics and communication engineering journal, December (1997)Google Scholar
  13. 13.
    Hall, D.L., Llinas, J.: “An Introduction to multi-sensor data fusion,” Proceedings of the IEEE, 85 Issue.1, January (1997) 6–23CrossRefGoogle Scholar
  14. 14.
    Fowle, E.N., Kelly, E.J., Sheehan, J.A.: “Radar system performance in a dense-target environment,” IRE Int. Convention record, no.4 (1961) 136–145Google Scholar
  15. 15.
    Naparst, H.: “Dense target signal processing,” IEEE Transactions on information theory 37 no.2 March (1991)Google Scholar
  16. 16.
    Siebert, W.McC: “A radar detection philosophy,” IEEE Transactions on Information Theory, 2 Issue.3 September (1956) 204–221CrossRefGoogle Scholar
  17. 17.
    Woodward, P.M.: Probability and information theory with applications to radar, (1957).Google Scholar
  18. 18.
    Blahut, R.E., Wileox, C.H., Miller, W.: “The synthesis problem for radar ambiguity functions,” Springer-Verlag, Mathematics subject classifications:78A45,22E70,43A80, (1991) 229–260Google Scholar
  19. 19.
    Auslander, L, Tolimeri, R.: “Radar ambiguity functions and group theory,” SIAM, J. Math. Anal. 16 (1985) 577–601MATHMathSciNetCrossRefGoogle Scholar
  20. 20.
    Walsh, J.L.: A closed set of normal orthogonal functions. Amer. J. Math. 45 (1923) 5–24MATHMathSciNetCrossRefGoogle Scholar
  21. 21.
    Beauchamp, K.G.: Walsh functions and their applications. Academic press, (1975)Google Scholar
  22. 22.
    Tzafestas, S.G.: Walsh functions in signal and systems analysis and design. A Hutchinson Ross Publication (1985).Google Scholar
  23. 23.
    Harmuth, H.F.: Applications of Walsh functions in communications. IEEE Spectrum November (1969) 8-2-91Google Scholar
  24. 24.
    Papoulis, A.: “A new algorithm in spectra analysis and band-limited extrapolation,” IEEE Transactions in Circuits and Systems, v.CAS-22, September (1975) 735–742MathSciNetCrossRefGoogle Scholar

Copyright information

© International Federation for Information Processing 2006

Authors and Affiliations

  • Askin Demirkol
    • 1
  • Erol Emre
    • 2
  1. 1.Department of Electrical and Computer EngmeeringUniversity of MissouriRollaUSA
  2. 2.Department of Computer EngineeringSakarya UniversitySakarya-TurkeyTurkey

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