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Volumn 55, Issue 1, 2007, Pages 73-84

Kernels and multiple windows for estimation of the Wigner-Ville spectrum of Gaussian locally stationary processes

Author keywords

Locally stationary circular symmetric processes; Multitaper spectral estimation; Optimal estimation; Time frequency analysis; Wigner Ville spectrum (WVS)

Indexed keywords

COVARIANCE MATRIX; EIGENVALUES AND EIGENFUNCTIONS; MEAN SQUARE ERROR; REGRESSION ANALYSIS; SPECTRUM ANALYSIS; TIME DOMAIN ANALYSIS;

EID: 33947368617     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2006.882076     Document Type: Article
Times cited : (34)

References (40)
  • 1
    • 0029254246 scopus 로고
    • "Optimal kernels for nonstationary spectral estimation"
    • A. M. Sayeed and D. L. Jones, "Optimal kernels for nonstationary spectral estimation," IEEE Trans. Signal Process., vol. 43, pp. 478-491, 1995.
    • (1995) IEEE Trans. Signal Process. , vol.43 , pp. 478-491
    • Sayeed, A.M.1    Jones, D.L.2
  • 2
    • 84937742269 scopus 로고
    • "Locally stationary random processes"
    • R. A. Silverman, "Locally stationary random processes," IRE Trans. Inf. Theory, vol. 3, pp. 182-187, 1957.
    • (1957) IRE Trans. Inf. Theory , vol.3 , pp. 182-187
    • Silverman, R.A.1
  • 3
    • 84980077978 scopus 로고
    • "A matching theorem for locally stationary random processes"
    • R. A. Silverman, "A matching theorem for locally stationary random processes," Comm. Pure Appl. Math., vol. 12, pp. 373-383, 1959.
    • (1959) Comm. Pure Appl. Math. , vol.12 , pp. 373-383
    • Silverman, R.A.1
  • 5
    • 0031518090 scopus 로고    scopus 로고
    • "Fitting time series models to non-stationary processes"
    • R. Dahihaus, "Fitting time series models to non-stationary processes," Ann. Statist., vol. 25, no. 1, 1997.
    • (1997) Ann. Statist. , vol.25 , Issue.1
    • Dahihaus, R.1
  • 7
    • 0032274370 scopus 로고    scopus 로고
    • "Time-varying spectra for underspread and overspead nonstationary processes"
    • in Pacific Grove, CA
    • G. Matz and F. Hlawatsch, "Time-varying spectra for underspread and overspead nonstationary processes," in Proc. 32nd Asilomar Conf. Signals, Syst., Comput., Pacific Grove, CA, 1998, pp. 282-286.
    • (1998) Proc. 32nd Asilomar Conf. Signals, Syst., Comput. , pp. 282-286
    • Matz, G.1    Hlawatsch, F.2
  • 8
    • 0028713643 scopus 로고
    • "Quadratic time-varying spectral estimation for underspread processes"
    • in Philadelphia, PA
    • W. Kozek and K. Riedel, "Quadratic time-varying spectral estimation for underspread processes," in Proc. IEEE-SP Int. Symp. Time-Frequency Time-Scale Anal., Philadelphia, PA, 1994, pp. 460-463.
    • (1994) Proc. IEEE-SP Int. Symp. Time-Frequency Time-Scale Anal. , pp. 460-463
    • Kozek, W.1    Riedel, K.2
  • 9
    • 0031162726 scopus 로고    scopus 로고
    • "Generalized evolutionary spectral analysis and the Weyl spectrum of nonstationary random processes"
    • G. Matz, F. Hlawatsch, and W. Kozek, "Generalized evolutionary spectral analysis and the Weyl spectrum of nonstationary random processes," IEEE Trans. Signal Process., vol. 45, no. 6, pp. 1520-1534, 1997.
    • (1997) IEEE Trans. Signal Process. , vol.45 , Issue.6 , pp. 1520-1534
    • Matz, G.1    Hlawatsch, F.2    Kozek, W.3
  • 11
    • 0037508535 scopus 로고    scopus 로고
    • "Wigner distributions (nearly) everywhere: Time-frequency analysis of signals, systems, random processes, signals spaces and frames"
    • G. Matz and F. Hlawatsch, "Wigner distributions (nearly) everywhere: time-frequency analysis of signals, systems, random processes, signals spaces and frames," Signal Processing, vol. 83, pp. 1355-1378, 2003.
    • (2003) Signal Processing , vol.83 , pp. 1355-1378
    • Matz, G.1    Hlawatsch, F.2
  • 15
    • 0020189541 scopus 로고
    • "Spectrum estimation and harmonic analysis"
    • D. J. Thomson, "Spectrum estimation and harmonic analysis," Proc. IEEE, vol. 70, no. 9, pp. 1055-1096, 1982.
    • (1982) Proc. IEEE , vol.70 , Issue.9 , pp. 1055-1096
    • Thomson, D.J.1
  • 17
    • 0031095319 scopus 로고    scopus 로고
    • "A multiple window method for estimation of peaked spectra"
    • M. Hansson and G. Salomonsson, "A multiple window method for estimation of peaked spectra," IEEE Trans. Signal Process., vol. 45, no. 3, pp. 778-781, 1997.
    • (1997) IEEE Trans. Signal Process. , vol.45 , Issue.3 , pp. 778-781
    • Hansson, M.1    Salomonsson, G.2
  • 18
    • 0035249494 scopus 로고    scopus 로고
    • "Multiple window time-varying spectral analysis"
    • F. Cakrak and P. J. Loughlin, "Multiple window time-varying spectral analysis," IEEE Trans. Signal Process., vol. 49, no. 2, pp. 448-453, 2001.
    • (2001) IEEE Trans. Signal Process. , vol.49 , Issue.2 , pp. 448-453
    • Cakrak, F.1    Loughlin, P.J.2
  • 19
    • 0011181333 scopus 로고    scopus 로고
    • "Multiple window time varying spectrum estimation"
    • preprint
    • R. Baraniuk and M. Bayram, "Multiple window time varying spectrum estimation," 2000, preprint.
    • (2000)
    • Baraniuk, R.1    Bayram, M.2
  • 20
    • 0028378193 scopus 로고
    • "The Weyl correspondence and time-frequency analysis"
    • R. G. Shenoy and T. W. Parks, "The Weyl correspondence and time-frequency analysis," IEEE Trans. Signal Process., vol. 42, no. 2, pp. 318-331, 1994.
    • (1994) IEEE Trans. Signal Process. , vol.42 , Issue.2 , pp. 318-331
    • Shenoy, R.G.1    Parks, T.W.2
  • 22
    • 0000830399 scopus 로고    scopus 로고
    • "A Banach space of test functions for Gabor analysis"
    • in H. G. Feichtinger and T. Strohmer, Eds. Cambridge, MA: Birkhäuser
    • H. G. Feichtinger and G. Zimmermann, "A Banach space of test functions for Gabor analysis," in Gabor Analysis and Algorithms - Theory and Applications, H. G. Feichtinger and T. Strohmer, Eds. Cambridge, MA: Birkhäuser, 1998, pp. 123-170.
    • (1998) Gabor Analysis and Algorithms - Theory and Applications , pp. 123-170
    • Feichtinger, H.G.1    Zimmermann, G.2
  • 24
    • 33947416388 scopus 로고    scopus 로고
    • 2d)"
    • preprint
    • 2d)," 2005, preprint.
    • (2005)
    • Wahlberg, P.1
  • 25
    • 33947399585 scopus 로고    scopus 로고
    • "The optimal kernel for time-variable spectral estimation of a locally stationary circularly symmetric Gaussian process"
    • preprint
    • P. Wahlberg, "The optimal kernel for time-variable spectral estimation of a locally stationary circularly symmetric Gaussian process," 2004, preprint.
    • (2004)
    • Wahlberg, P.1
  • 26
    • 85061766171 scopus 로고    scopus 로고
    • "The Wigner distribution of Gaussian weakly harmonizable stochastic processes"
    • ser. Operator Theory: Advances and Applications, Birkhäuser, to appear
    • P. Wahlberg, "The Wigner distribution of Gaussian weakly harmonizable stochastic processes," Proc. Int. Conf. Pseudo-Differential Operators and Related Topics ser. Operator Theory: Advances and Applications, Birkhäuser, 2006, to appear.
    • (2006) Proc. Int. Conf. Pseudo-Differential Operators and Related Topics
    • Wahlberg, P.1
  • 29
    • 0000291780 scopus 로고
    • "Harmonizable processes: Structure theory"
    • M. M. Rao, "Harmonizable processes: Structure theory," L'Enseign. Math., vol. 28, pp. 295-351, 1982.
    • (1982) L'Enseign. Math. , vol.28 , pp. 295-351
    • Rao, M.M.1
  • 30
    • 2442634820 scopus 로고    scopus 로고
    • "Stationary covariances associated with exponentially convex functions"
    • W. Ehm, M. G. Genton, and T. Gneiting, "Stationary covariances associated with exponentially convex functions," Bernoulli, vol. 9, no. 16, pp. 607-615, 2003.
    • (2003) Bernoulli , vol.9 , Issue.16 , pp. 607-615
    • Ehm, W.1    Genton, M.G.2    Gneiting, T.3
  • 32
    • 0031078313 scopus 로고    scopus 로고
    • "Second-order statistics of complex signals"
    • B. Picinbono and P. Bondon, "Second-order statistics of complex signals," IEEE Trans. Signal Process., vol. 45, pp. 411-419, 1997.
    • (1997) IEEE Trans. Signal Process. , vol.45 , pp. 411-419
    • Picinbono, B.1    Bondon, P.2
  • 33
    • 0344012586 scopus 로고    scopus 로고
    • "Stochastic time-frequency analysis using the analytic signal: Why the complementary distribution matters"
    • P. J. Schreier and L. L. Scharf, "Stochastic time-frequency analysis using the analytic signal: Why the complementary distribution matters," IEEE Trans. Signal Process., vol. 51, no. 12, pp. 3071-3079, 2003.
    • (2003) IEEE Trans. Signal Process. , vol.51 , Issue.12 , pp. 3071-3079
    • Schreier, P.J.1    Scharf, L.L.2
  • 34
    • 0012131297 scopus 로고
    • "A representation theorem for complex normal processes"
    • T. L. Grettenberg, "A representation theorem for complex normal processes," IEEE Trans. Inf. Theory, vol. 11, pp. 305-306, 1965.
    • (1965) IEEE Trans. Inf. Theory , vol.11 , pp. 305-306
    • Grettenberg, T.L.1
  • 36
    • 84934856511 scopus 로고
    • "Time-frequency analysis of random signals"
    • W. Martin, "Time-frequency analysis of random signals," in Proc. ICASSP, 1982, pp. 1325-1328.
    • (1982) Proc. ICASSP , pp. 1325-1328
    • Martin, W.1
  • 37
  • 38
  • 39
    • 0034215818 scopus 로고    scopus 로고
    • "The statistics of time-frequency analysis"
    • J. W. Pitton, "The statistics of time-frequency analysis," J. Franklin Inst., vol. 337, pp. 379-388, 2000.
    • (2000) J. Franklin Inst. , vol.337 , pp. 379-388
    • Pitton, J.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.