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Volumn 53, Issue 8, 2005, Pages 3111-3128

Wigner distributions and ambiguity functions of 2-D quaternionic and monogenic signals

Author keywords

Four dimensional Wigner distributions and ambiguity functions; Quaternionic and monogenic signals; Two dimensional analytic

Indexed keywords

ALGORITHMS; CORRELATION METHODS; FOURIER TRANSFORMS; FREQUENCY DOMAIN ANALYSIS; FUNCTIONS; PROBABILITY DISTRIBUTIONS;

EID: 25444517751     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2005.851134     Document Type: Article
Times cited : (25)

References (22)
  • 1
    • 33745014742 scopus 로고
    • "On the quantum correction for thermodynamic equilibrium"
    • E. P. Wigner, "On the quantum correction for thermodynamic equilibrium," Phys. Rev., vol. 40, pp. 749-752, 1932.
    • (1932) Phys. Rev. , vol.40 , pp. 749-752
    • Wigner, E.P.1
  • 2
    • 0003499969 scopus 로고    scopus 로고
    • Hypercomplex spectral signal representation for the processing and analysis of images
    • Bericht Nr. 9903, Institut für Informatik und Praktische Mathematik Christian-Albrechts-Universität Kiel, Kiel, Germany, Aug.
    • T. Bülow, Hypercomplex spectral signal representation for the processing and analysis of images, in Bericht Nr. 9903, Institut für Informatik und Praktische Mathematik, Christian-Albrechts-Universität Kiel, Kiel, Germany, Aug. 1999.
    • (1999)
    • Bülow, T.1
  • 3
    • 3543116865 scopus 로고    scopus 로고
    • "Low-Level Image Processing with the Structure Multivector"
    • Inst. Comput. Sci. Applied Math., Christian-Albrechts-Univ. Kiel, Kiel, Germany, Rep. 0203
    • M. Felsberg, "Low-Level Image Processing with the Structure Multivector," Inst. Comput. Sci. Applied Math., Christian-Albrechts-Univ. Kiel, Kiel, Germany, http://www.isy.liu.se/ ~mfe/Diss.pdf, Rep. 0203, 2002.
    • (2002)
    • Felsberg, M.1
  • 5
    • 0000950385 scopus 로고
    • "Multidimensional complex signals with single-orthant spectra"
    • Aug.
    • S. L. Hahn, "Multidimensional complex signals with single-orthant spectra," Proc. IEEE, vol. 80, no. 8, pp. 1287-1300, Aug. 1992.
    • (1992) Proc. IEEE , vol.80 , Issue.8 , pp. 1287-1300
    • Hahn, S.L.1
  • 6
    • 0030194013 scopus 로고    scopus 로고
    • "The N-dimensional complex delta distribution"
    • Jul.
    • S. L. Hahn, "The N-dimensional complex delta distribution," IEEE Trans. Signal Process., vol. 44, no. 7, pp. 1833-1837, Jul. 1996.
    • (1996) IEEE Trans. Signal Process. , vol.44 , Issue.7 , pp. 1833-1837
    • Hahn, S.L.1
  • 8
    • 0035503560 scopus 로고    scopus 로고
    • "The hypercomplex signal - A novel extension of the analytic signal to the multidimensional case"
    • Nov.
    • T. Bülow and G. Sommer, "The hypercomplex signal - A novel extension of the analytic signal to the multidimensional case," IEEE Trans. Signal Process., vol. 49, no. 11, pp. 2844-2852, Nov. 2001.
    • (2001) IEEE Trans. Signal Process. , vol.49 , Issue.11 , pp. 2844-2852
    • Sommer, G.1    Bülow, T.2
  • 9
    • 0035503273 scopus 로고    scopus 로고
    • "Efficient implementation of quaternion fourier transform, convolution, and correlation by 2-D complex FFT"
    • Nov.
    • S.-C. Pei, J.-J. Ding, and J.-H. Chang, "Efficient implementation of quaternion fourier transform, convolution, and correlation by 2-D complex FFT," IEEE Trans. Signal Process., vol. 49, no. 11, pp. 2783-2797, Nov. 2001.
    • (2001) IEEE Trans. Signal Process. , vol.49 , Issue.11 , pp. 2783-2797
    • Pei, S.-C.1    Ding, J.-J.2    Chang, J.-H.3
  • 10
    • 25444462458 scopus 로고    scopus 로고
    • "The relationships of analytic and quaternionic representation of 2-D signals"
    • Poznań, Poland, Mar. 14-15
    • S. Hahn, "The relationships of analytic and quaternionic representation of 2-D signals," in Proc. X Nat. Symp. Radio Sci., Poznań, Poland, Mar. 14-15, 2002, pp. 328-332.
    • (2002) Proc. X Nat. Symp. Radio Sci. , pp. 328-332
    • Hahn, S.1
  • 11
    • 0035673838 scopus 로고    scopus 로고
    • "The monogenic signal"
    • Dec.
    • M. Felsberg and G. Sommer, "The monogenic signal," IEEE Trans. Signal Process., vol. 49, no. 12, pp. 3136-3140, Dec. 2001.
    • (2001) IEEE Trans. Signal Process. , vol.49 , Issue.12 , pp. 3136-3140
    • Felsberg, M.1    Sommer, G.2
  • 12
    • 0000713775 scopus 로고    scopus 로고
    • "Natural demodulation of two-dimensional fringe patters: I. General background of the spiral phase quadrature transform"
    • Aug.
    • K. G. Larkin, D. Bone, and M. A. Oldfield, "Natural demodulation of two-dimensional fringe patters: I. General background of the spiral phase quadrature transform," J. Opt. Soc. Amer., vol. 18, no. 8, pp. 1862-1870, Aug. 2001.
    • (2001) J. Opt. Soc. Amer. , vol.18 , Issue.8 , pp. 1862-1870
    • Larkin, K.G.1    Bone, D.2    Oldfield, M.A.3
  • 13
    • 0012063248 scopus 로고    scopus 로고
    • "A review of methods of time-frequency analysis with extension for signal plane-frequency plane analysis"
    • S. L. Hahn, "A review of methods of time-frequency analysis with extension for signal plane-frequency plane analysis," Kleinheubacher Berichte, vol. 44, pp. 163-182, 2001.
    • (2001) Kleinheubacher Berichte , vol.44 , pp. 163-182
    • Hahn, S.L.1
  • 14
    • 25444510599 scopus 로고    scopus 로고
    • "The theory of time-frequency distributions with extension for two-dimensional signals"
    • S. L. Hahn, "The theory of time-frequency distributions with extension for two-dimensional signals," Metrol. Meas. Syst., vol. VIII, no. 2, pp. 113-143, 2000.
    • (2000) Metrol. Meas. Syst. , vol.8 , Issue.2 , pp. 113-143
    • Hahn, S.L.1
  • 15
    • 84947928706 scopus 로고    scopus 로고
    • "Wigner distributions and ambiguity functions in image analysis"
    • W. Skarbek, Ed. New York: Springer-Verlag
    • S. L. Hahn and K. M. Snopek, "Wigner distributions and ambiguity functions in image analysis," in Computer Analysis of Images and Patterns, W. Skarbek, Ed. New York: Springer-Verlag, 2001, pp. 537-546.
    • (2001) Computer Analysis of Images and Patterns , pp. 537-546
    • Hahn, S.L.1    Snopek, K.M.2
  • 16
    • 0036902021 scopus 로고    scopus 로고
    • "Double-dimensional distributions: Another approach to "Quartic" distributions"
    • Dec.
    • S. L. Hahn and K. M. Snopek, "Double-dimensional distributions: Another approach to "Quartic" distributions," IEEE Trans. Signal Process., vol. 50, no. 12, pp. 2987-2997, Dec. 2002.
    • (2002) IEEE Trans. Signal Process. , vol.50 , Issue.12 , pp. 2987-2997
    • Hahn, S.L.1    Snopek, K.M.2
  • 17
    • 84937397171 scopus 로고    scopus 로고
    • "Algebraic frames for commutative hyperharmonic analysis of signals and images"
    • Lecture Notes in Computer Science 1888, Algebraic Frames for the Perception Action Cycle, Kiel, Germany, Sep.
    • E. Rundblad, V. Labunets, J. Astola, and K. Egiwarlan, "Algebraic frames for commutative hyperharmonic analysis of signals and images," in Proc. Second Int. Workshop AFPAC, Lecture Notes in Computer Science 1888, Algebraic Frames for the Perception Action Cycle, Kiel, Germany, Sep. 2000.
    • (2000) Proc. Second Int. Workshop AFPAC
    • Rundblad, E.1    Labunets, V.2    Astola, J.3    Egiwarlan, K.4
  • 20
    • 25444460812 scopus 로고    scopus 로고
    • "Complex signals with single-orthant spectra as boundary distributions of multidimensional analytic functions"
    • S. L. Hahn, "Complex signals with single-orthant spectra as boundary distributions of multidimensional analytic functions," Bull. Polish Acad. Sci., vol. 51, no. 2, pp. 155-161, 2003.
    • (2003) Bull. Polish Acad. Sci. , vol.51 , Issue.2 , pp. 155-161
    • Hahn, S.L.1
  • 22
    • 0000293183 scopus 로고
    • "Theory of Communications"
    • D. Gabor "Theory of Communications," Trans. Inst. Electr. Eng., pt. 3, pp. 429-457, 1946.
    • (1946) Trans. Inst. Electr. Eng. , Issue.PART 3 , pp. 429-457
    • Gabor, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.