메뉴 건너뛰기




Volumn 75, Issue 7, 1987, Pages 869-891

Bispectrum Estimation: A Digital Signal Processing Framework

Author keywords

[No Author keywords available]

Indexed keywords

BISPECTRUM ESTIMATION; THIRD-ORDER MOMENTS MODELING;

EID: 0023383894     PISSN: 00189219     EISSN: 15582256     Source Type: Journal    
DOI: 10.1109/PROC.1987.13824     Document Type: Article
Times cited : (1062)

References (126)
  • 1
    • 52449141570 scopus 로고
    • Note on higher order spectra
    • [1] H. Akaike, “Note on higher order spectra,” Ann. Inst. Statist. Math., vol. 18, pp. 123–126, 1966.
    • (1966) Ann. Inst. Statist. Math. , vol.18 , pp. 123-126
    • Akaike, H.1
  • 2
    • 84885476864 scopus 로고
    • Notes on lectures at the Institute of Statistical Math-ematics
    • [2] H. Akaike, “Notes on lectures at the Institute of Statistical Math-ematics,” The Statistical Theory of Spectral Estimation, pp. 1–30, 1964.
    • (1964) The Statistical Theory of Spectral Estimation , pp. 1-30
    • Akaike, H.1
  • 3
    • 0020911336 scopus 로고
    • Speckle masking in astromony—Triple correlation theory and applications
    • Dec.
    • [3] H. O. Bartelt, A. W. Lohmann, and B. Wirnitzer, “Speckle masking in astromony—Triple correlation theory and applications,” Apial. Opt., vol. 22, no. 24, Dec. 1983.
    • (1983) Apial. Opt. , vol.22 , Issue.24
    • Bartelt, H.O.1    Lohmann, A.W.2    Wirnitzer, B.3
  • 4
    • 0021493747 scopus 로고
    • Phase and amplitude recovery from bispectra
    • Sept.
    • [4] H. O. Bartelt, A. W. Lohmann, and B. Wirnitzer, “Phase and amplitude recovery from bispectra,” Appl. Opt., vol. 23, pp. 3121–3129, Sept. 1984.
    • (1984) Appl. Opt. , vol.23 , pp. 3121-3129
    • Bartelt, H.O.1    Lohmann, A.W.2    Wirnitzer, B.3
  • 5
    • 0020098868 scopus 로고
    • Spectral analysis of nonlinear systems involving square-law operations
    • [5] J. S. Bendat and A. G. Piersol, “Spectral analysis of nonlinear systems involving square-law operations,” J. Sound Vibr., vol. 81, 199–212, 1982.
    • (1982) J. Sound Vibr. , vol.81 , pp. 199-212
    • Bendat, J.S.1    Piersol, A.G.2
  • 6
    • 0019031661 scopus 로고
    • Robust identification of nonminimum phase system: Blind adjustment of linear equalizer in data communications
    • June
    • [6] A. Benveniste, M. Goursat, and G. Ruget, “Robust identification of nonminimum phase system: Blind adjustment of linear equalizer in data communications,” IEEE Trans. Automat. Contr., vol. AC-25, pp. 385–398, June 1980.
    • (1980) IEEE Trans. Automat. Contr. , vol.AC-25 , pp. 385-398
    • Benveniste, A.1    Goursat, M.2    Ruget, G.3
  • 8
    • 0001414711 scopus 로고
    • An introduction to polyspectra
    • [8] D. R. Brillinger, “An introduction to polyspectra,” Ann. Math. Statist., vol. 36, 1351–1374, 1965.
    • (1965) Ann. Math. Statist. , vol.36 , pp. 1351-1374
    • Brillinger, D.R.1
  • 11
    • 0017699409 scopus 로고
    • The identification of a particular nonlinear time series system
    • [11] D. R. Brillinger, “The identification of a particular nonlinear time series system,” Biometrika, vol. 65, pp. 509–515, 1977.
    • (1977) Biometrika , vol.65 , pp. 509-515
    • Brillinger, D.R.1
  • 13
    • 0001590347 scopus 로고
    • The identification of polynomial systems by means of higher order spectra
    • [13] D. R. Brillinger, “The identification of polynomial systems by means of higher order spectra,” J. Sound Vibr., vol. 12, pp. 301–313, 1970.
    • (1970) J. Sound Vibr. , vol.12 , pp. 301-313
    • Brillinger, D.R.1
  • 17
    • 0020599969 scopus 로고
    • Detection of non-Gaussian signals by frequency domain kurtosis estimation
    • (Boston, MA), Apr.
    • [17] P. F. Dwyer, “Detection of non-Gaussian signals by frequency domain kurtosis estimation,” in Proc. ICASSP’83, vol. 2, pp. 607–610 (Boston, MA, Apr. 1983).
    • (1983) Proc. ICASSP'83 , vol.2 , pp. 607-610
    • Dwyer, P.F.1
  • 18
    • 84939337589 scopus 로고
    • Real-time acousto-optic bispectral
    • [18] J. M. Florence and J. H. Song, “Real-time acousto-optic bispectral Proc. SPIE, vol. 431, pp. 431–436, 1986.
    • (1986) Proc. SPIE , vol.431 , pp. 431-436
    • Florence, J.M.1    Song, J.H.2
  • 19
    • 0001152206 scopus 로고
    • Triple correlator of photo electric fluctuations as a spectroscopic tool
    • Apr.
    • [19] H. Gamo, “Triple correlator of photo electric fluctuations as a spectroscopic tool,” J. Appl. Phys., vol. 34, no. 4, pp. 875–876, Apr. 1963.
    • (1963) J. Appl. Phys. , vol.34 , Issue.4 , pp. 875-876
    • Gamo, H.1
  • 21
    • 0022583233 scopus 로고
    • Stochastic realization of non-minimum phase systems
    • ACC, June Seattle, WA,
    • [21] G. B. Giannakis and J. M. Mendel, “Stochastic realization of non-minimum phase systems,” in Proc. American Control Conf. (ACC), pp. 1254–1259 (Seattle, WA, June 1986).
    • (1986) Proc. American Control Conf. , pp. 1254-1259
    • Giannakis, G.B.1    Mendel, J.M.2
  • 22
    • 0023017074 scopus 로고
    • Approximate realization and model reduction of non-minimum minimum phase systems
    • CDC) (Athens, Greece, Dec.
    • [22] G. B. Giannakis and J. M. Mendel, “Approximate realization and model reduction of non-minimum minimum phase systems,” in Proc. 25th IEEE Conf. on Decision and Control (CDC) (Athens, Greece, Dec. 1986).
    • (1986) Proc. 25th IEEE Conf. on Decision and Control
    • Giannakis, G.B.1    Mendel, J.M.2
  • 23
    • 0013144277 scopus 로고
    • An exploratory study of the bispectrum of economic time series, “Appi
    • [23] M. D. Godfrey, “An exploratory study of the bispectrum of economic time series,” Appi. Statist., vol. 14, pp. 48–69, 1965.
    • (1965) Statist. , vol.14 , pp. 48-69
    • Godfrey, M.D.1
  • 24
    • 0019700620 scopus 로고
    • Zero-memory nonlinear deconvolution
    • [24] R. Godfrey and F. Rocca, “Zero-memory nonlinear deconvolution,” Geophys. Prospect., vol. 29, pp. 189–228, 1981.
    • (1981) Geophys. Prospect. , vol.29 , pp. 189-228
    • Godfrey, R.1    Rocca, F.2
  • 25
    • 0002298366 scopus 로고
    • Bispectra of ocean waves
    • M. Rossenblatt, ed. New York, NY: Wiley,
    • [25] K. Hasselman, W. Munk, and G. MacDonald, “Bispectra of ocean waves,” in Time Series Analysis, M. Rossenblatt, Ed. New York, NY: Wiley, 1963, pp. 125–130.
    • (1963) Time Series Analysis , pp. 125-130
    • Hasselman, K.1    Munk, W.2    MacDonald, G.3
  • 26
    • 0001106415 scopus 로고
    • Earth noise, 5 to 500 millicycles per second
    • [26] R. A. Haubrich, “Earth noise, 5 to 500 millicycles per second,” J. Geophys. Res., vol. 70, pp. 1415–1427, 1965.
    • (1965) J. Geophys. Res. , vol.70 , pp. 1415-1427
    • Haubrich, R.A.1
  • 28
    • 0021852457 scopus 로고
    • A program for computation of bispectra with application to spectral energy transfer in fluid turbulence
    • [28] K. N. Helland, E. C. Itsweire, and K. S. Lii, “A program for computation of bispectra with application to spectral energy transfer in fluid turbulence,” Adv. Eng. Software, vol. 7, no. 1, pp. 22–27, 1985.
    • (1985) Adv. Eng. Software , vol.7 , Issue.1 , pp. 22-27
    • Helland, K.N.1    Itsweire, E.C.2    Lii, K.S.3
  • 29
    • 84885475914 scopus 로고
    • Bispectra of atmospheric and wind tunnel turbulences
    • P. R. Krishnaiah, ed. New York, NY: North Holland,
    • [29] K. N. Helland, K. S. Lii, and M. Rosenblatt, “Bispectra of atmospheric and wind tunnel turbulences,” in Applications of Statistics, P. R. Krishnaiah, Ed. New York, NY: North Holland, 1977, pp. 223–248.
    • (1977) Applications of Statistics , pp. 223-248
    • Helland, K.N.1    Lii, K.S.2    Rosenblatt, M.3
  • 31
    • 0021890803 scopus 로고
    • Improved spectrum performance via a data-adaptive weighted Burg technique
    • Aug.
    • [31] B. I. Helme and C. L. Nikias, “Improved spectrum performance via a data-adaptive weighted Burg technique,” IEEE Trans. Acoustics, Speech Signal Processing, vol. ASSP-33, no. 4, pp. 903–910, Aug. 1985.
    • (1985) IEEE Trans. Acoustics, Speech Signal Processing , vol.ASSP-33 , Issue.4 , pp. 903-910
    • Helme, B.I.1    Nikias, C.L.2
  • 32
    • 0018911449 scopus 로고
    • Theoretical calculations on turbulent bispectra
    • [32] J. R. Herring, “Theoretical calculations on turbulent bispectra,” J. Fluid Mech., vol. 97, pp. 193–204, 1980.
    • (1980) J. Fluid Mech. , vol.97 , pp. 193-204
    • Herring, J.R.1
  • 33
    • 84977302504 scopus 로고
    • The application of the discrete Fourier transform in the estimation of power spectra coherence and bispectra of geophysical data
    • [33] M. J. Hinich and C. S. Clay, “The application of the discrete Fourier transform in the estimation of power spectra coherence and bispectra of geophysical data,” Rev. Geophys., vol. 6, no. 3, pp. 347–363, 1968.
    • (1968) Rev. Geophys. , vol.6 , Issue.3 , pp. 347-363
    • Hinich, M.J.1    Clay, C.S.2
  • 34
    • 0039845162 scopus 로고
    • Identification of the coefficients in a non-linear time series of the quadratic type
    • North-Holland).
    • [34] M.J. Hinich and D. M. Patterson, “Identification of the coefficients in a non-linear time series of the quadratic type,” J. Econometrics, vol. 30, pp. 269–288, 1985 (North-Holland).
    • (1985) J. Econometrics , vol.30 , pp. 269-288
    • Hinich, M.J.1    Patterson, D.M.2
  • 35
    • 84942840570 scopus 로고
    • Evidence of nonlinearlity in daily stock returns
    • [35] M.J. Hinich and D. M. Patterson, “Evidence of nonlinearlity in daily stock returns,” J. Bus. Econ. Stat., vol. 3, no. 1, pp. 69–77, 1985.
    • (1985) J. Bus. Econ. Stat. , vol.3 , Issue.1 , pp. 69-77
    • Hinich, M.J.1    Patterson, D.M.2
  • 36
    • 0040061232 scopus 로고
    • A stochastic model of seismic reflections
    • presented at the
    • [36] J. W. J. Hosken, “A stochastic model of seismic reflections,” presented at the 50th Ann. Int. Meet. of SEG, 1980.
    • (1980) 50th Ann. Int. Meet. of SEG
    • Hosken, J.W.J.1
  • 37
    • 0002426245 scopus 로고
    • Statistical methods for investigating phase relations in stationary stochastic processes
    • [37] P. J. Huber, B. Kleiner, T. Gasser, and G. Dumermuth, “Statistical methods for investigating phase relations in stationary stochastic processes,” IEEE Trans. Audio Eiectroa- coust., vol. AU-19, pp. 78–86, 1971.
    • (1971) IEEE Trans. Audio Eiectroa-coust. , vol.AU-19 , pp. 78-86
    • Huber, P.J.1    Kleiner, B.2    Gasser, T.3    Dumermuth, G.4
  • 38
    • 84986808144 scopus 로고
    • Estimation of coefficient of an autoregressive process by using a higher order moment
    • [38] M. Huzii, “Estimation of coefficient of an autoregressive process by using a higher order moment,” J. Time Ser. Anal., vol. 2, pp. 87–93, 1981.
    • (1981) J. Time Ser. Anal. , vol.2 , pp. 87-93
    • Huzii, M.1
  • 39
    • 0019636227 scopus 로고
    • Spectrum analysis: A modern per-spective
    • Nov.
    • [39] S. M. Kay and L. Marple, “Spectrum analysis: A modern per-spective,” Proc. IEEE, vol. 69, no. 11, pp. 1380–1418, Nov. 1981.
    • (1981) Proc. IEEE , vol.69 , Issue.11 , pp. 1380-1418
    • Kay, S.M.1    Marple, L.2
  • 41
    • 0142136015 scopus 로고
    • Bispectrum and nonlinear wave coupling
    • Feb.
    • [41] Y. C. Kim, J. M. Beall, E. J. Powers, and R. W. Miksad, “Bispectrum and nonlinear wave coupling,” Phys. Fluids, vol. 23, no. 2, pp. 258–263, Feb. 1980.
    • (1980) Phys. Fluids , vol.23 , Issue.2 , pp. 258-263
    • Kim, Y.C.1    Beall, J.M.2    Powers, E.J.3    Miksad, R.W.4
  • 42
    • 34748855320 scopus 로고
    • Digital bispectral analysis of self-excited fluctuations spectra
    • [42] Y. C. Kim and E. J. Powers, “Digital bispectral analysis of self-excited fluctuations spectra,” Phys. Fluids, vol. 21, no. 8, pp. 1452–1453, 1978.
    • (1978) Phys. Fluids , vol.21 , Issue.8 , pp. 1452-1453
    • Kim, Y.C.1    Powers, E.J.2
  • 43
    • 0019623146 scopus 로고
    • Study of the high-order correlation functions of numer fluctuations in simple fluids with radial hand-body interactions
    • Oct.
    • [43] K. Knast and W. Chmielowski, “Study of the high-order correlation functions of numer fluctuations in simple fluids with radial hand-body interactions,” J. Phys. (France), vol. 42, no. 10, pp. 1373–1385, Oct. 1981.
    • (1981) J. Phys. (France) , vol.42 , Issue.10 , pp. 1373-1385
    • Knast, K.1    Chmielowski, W.2
  • 44
    • 84885473095 scopus 로고
    • Linear and nonlinear spectral analytic techniques applied to the human electroencephalogram
    • [44] J. Korein, L. J. Tick, R. A. Zeitlin, and C. T. Randt, “Linear and nonlinear spectral analytic techniques applied to the human electroencephalogram,” Corr. Sci. Health Res. Council, vol. 4, pp. 1126–1128, 1968.
    • (1968) Corr. Sci. Health Res. Council , vol.4 , pp. 1126-1128
    • Korein, J.1    Tick, L.J.2    Zeitlin, R.A.3    Randt, C.T.4
  • 45
    • 84921240770 scopus 로고
    • Non-Gaussian ARMA model identification and estimation
    • [45] K. S. Lii, “Non-Gaussian ARMA model identification and estimation,” Proc. Bus. and Econ. Statistics (ASA), pp. 135–141, 141, 1982.
    • (1982) Proc. Bus. and Econ. Statistics (ASA), pp , vol.141 , pp. 135-141
    • Lii, K.S.1
  • 46
    • 0019607907 scopus 로고
    • Cross-bispectrum computation and variance estimation
    • [46] K. S. Lii and K. N. Helland, “Cross-bispectrum computation and variance estimation,” ACM Trans. Math. Software, vol. 7, pp. 284–294, 1981.
    • (1981) ACM Trans. Math. Software , vol.7 , pp. 284-294
    • Lii, K.S.1    Helland, K.N.2
  • 47
    • 0000868884 scopus 로고
    • Deconvolution and estimation of transfer function phase and coefficients for non-Gaussian linear processes
    • [47] K. S. Lii and M. Rosenblatt, “Deconvolution and estimation of transfer function phase and coefficients for non-Gaussian linear processes,” Ann. Statist., vol. 10, pp. 1195–1208, 1982.
    • (1982) Ann. Statist. , vol.10 , pp. 1195-1208
    • Lii, K.S.1    Rosenblatt, M.2
  • 48
    • 0016876575 scopus 로고
    • Bispectral measurements in turbulence
    • [48] K. S. Lii, M. Rosenblatt, and C. Van Atta, “Bispectral measurements in turbulence,” J. Fluid Mech., vol. 77, pp. 45–62, 1976.
    • (1976) J. Fluid Mech. , vol.77 , pp. 45-62
    • Lii, K.S.1    Rosenblatt, M.2    Van Atta, C.3
  • 49
    • 84885470219 scopus 로고
    • Non-Gaussian linear processes, phase, and deconvolution
    • E. J. Wegman and J. G. Smith, Eds.,
    • [49] K. S. Lii and M. Rosenblatt, “Non-Gaussian linear processes, phase, and deconvolution,” in Statistical Signal Processing, E. J. Wegman and J. G. Smith, Eds., 1984, pp. 51–58.
    • (1984) Statistical Signal Processing , pp. 51-58
    • Lii, K.S.1    Rosenblatt, M.2
  • 50
    • 0010736414 scopus 로고
    • A fourth order deconvolution technique for non-Gaussian Gaussian linear processes” in
    • P. R. Krishnaiah, Ed. Amsterdam, The Netherlands: Elsevier,
    • [50] K. S. Lii and M. Rosenblatt, “A fourth order deconvolution technique for non-Gaussian Gaussian linear processes” in Multivariate Analysis VI, P. R. Krishnaiah, Ed. Amsterdam, The Netherlands: Elsevier, 1985, pp. 395–410.
    • (1985) Multivariate Analysis VI , pp. 395-410
    • Lii, K.S.1    Rosenblatt, M.2
  • 51
    • 0002259045 scopus 로고
    • Estimating three-dimensional dimensional energy transfer in isotropic turbulence
    • [51] K. S. Lii, K. N. Helland, and M. Rosenblatt, “Estimating three-dimensional dimensional energy transfer in isotropic turbulence,” J. Time. Ser. Anal., vol. 3, no. 1, pp. 1–28, 1982.
    • (1982) J. Time. Ser. Anal. , vol.3 , Issue.1 , pp. 1-28
    • Lii, K.S.1    Helland, K.N.2    Rosenblatt, M.3
  • 52
    • 84939362385 scopus 로고
    • Consistency of the least-squares identification method
    • Oct.
    • [52] L. Ljung, “Consistency of the least-squares identification method,” IEEE Trans. Automat. Contr., vol. AC-21, pp. 779–781, 781, Oct. 1976.
    • (1976) IEEE Trans. Automat. Contr. , vol.AC-21 , pp. 779-781
    • Ljung, L.1
  • 53
    • 0020911336 scopus 로고
    • Speckle masking in astronomy-triple correlation theory and applications, “
    • Dec.
    • [53] A. W. Lohmann, G. P. Weigelt, and B. Wirnitzer, “Speckle masking in astronomy-triple correlation theory and applications,“ App. Opt., vol. 22, no. 24, pp. 4028–4037, Dec. 1983.
    • (1983) App. Opt. , vol.22 , Issue.24 , pp. 4028-4037
    • Lohmann, A.W.1    Weigelt, G.P.2    Wirnitzer, B.3
  • 54
    • 0021460615 scopus 로고
    • Triple correlations
    • [54] A. W. Lohmann and B. Wirnitzer, “Triple correlations,” Proc. IEEE., vol. 72, no. 7, pp. 889–901, 1984.
    • (1984) Proc. IEEE. , vol.72 , Issue.7 , pp. 889-901
    • Lohmann, A.W.1    Wirnitzer, B.2
  • 55
    • 0017299905 scopus 로고
    • Application of central-limit theorems to turbulence and higher-order spectra
    • [55] J. L. Lumley and K. Takeuchi, “Application of central-limit theorems to turbulence and higher-order spectra,” J. Fluid Mech., vol. 74, pp. 433–468, 1976.
    • (1976) J. Fluid Mech. , vol.74 , pp. 433-468
    • Lumley, J.L.1    Takeuchi, K.2
  • 56
    • 0342445333 scopus 로고
    • The bispectra of atmospheric pressure records
    • White Plains, NY: IBM) pp.
    • [56] G. MacDonald, “The bispectra of atmospheric pressure records,” in Proc. IBM Sci. Comput. Symp. on Statistics (White Plains, NY: IBM) pp. 247–264, 1963.
    • (1963) Proc. IBM Sci. Comput. Symp. on Statistics , pp. 247-264
    • MacDonald, G.1
  • 57
    • 36849133962 scopus 로고
    • Spectral response of a quadratic device to non-Gaussian noise
    • [57] T. A. Magness, “Spectral response of a quadratic device to non-Gaussian noise,” J. Appl. Phys., vol. 25, pp. 1357–1365, 1954.
    • (1954) J. Appl. Phys. , vol.25 , pp. 1357-1365
    • Magness, T.A.1
  • 58
    • 0016495091 scopus 로고
    • Linear prediction: A tutorial review
    • Apr.
    • [58] J. H. Makhoul, “Linear prediction: A tutorial review,” Proc. IEEE, vol. 63, pp. 56 1–580, Apr. 1975.
    • (1975) Proc. IEEE , vol.63 , pp. 561-580
    • Makhoul, J.H.1
  • 60
    • 0001155634 scopus 로고
    • Phase estimation using the bispectrum
    • [60] T. Matsuoka and T. J. Ulrych, “Phase estimation using the bispectrum,” Proc. IEEE, vol. 72, pp. 1403–1411, 1984.
    • (1984) Proc. IEEE , vol.72 , pp. 1403-1411
    • Matsuoka, T.1    Ulrych, T.J.2
  • 61
    • 0020189062 scopus 로고
    • Multidimensional spectral estimation
    • Sept.
    • [61] J. H. McClellan, “Multidimensional spectral estimation,” Proc. IEEE, vol. 70, pp. 1029–1039, Sept. 1982.
    • (1982) Proc. IEEE , vol.70 , pp. 1029-1039
    • McClellan, J.H.1
  • 63
    • 0018997965 scopus 로고
    • Bispectra of internal waves
    • [63] C. H. McComas and M. G. Briscoe, “Bispectra of internal waves,” J. Fluid Mech., vol. 97, pp. 205–213, 1980.
    • (1980) J. Fluid Mech. , vol.97 , pp. 205-213
    • McComas, C.H.1    Briscoe, M.G.2
  • 64
    • 34250279470 scopus 로고
    • Bispectra of spike-array type time series and their application to the analysis of oceanic microstructures
    • Oct.
    • [64] Y. Nagata, “Bispectra of spike-array type time series and their application to the analysis of oceanic microstructures,” J. Oceanographical Soc. Japan, vol. 34, pp. 204–21 6, Oct. 1978.
    • (1978) J. Oceanographical Soc. Japan , vol.34 , pp. 204-221
    • Nagata, Y.1
  • 65
    • 0017422798 scopus 로고
    • Rotary cross-bispectra and energy transfer functions between non-Gaussian vector Processes
    • Nov.
    • [65] S. Neshyba and H. Crew, “Rotary cross-bispectra and energy transfer functions between non-Gaussian vector Processes,” J. Phys. Oceanogr., vol. 7, no. 6, pp. 892–903, Nov. 1977.
    • (1977) J. Phys. Oceanogr. , vol.7 , pp. 892-903
    • Neshyba, S.1    Crew, H.2
  • 66
    • 2742515259 scopus 로고
    • Vertical cross coherence and cross bispectra between internal waves measured in a multiple-layered ocean
    • Mar.
    • [66] S. Neshyba and E. J. C. Sobey, “Vertical cross coherence and cross bispectra between internal waves measured in a multiple-layered ocean,” J. Geophys. Res., vol. 80, no. 9, pp. 1152–1162, Mar. 1975.
    • (1975) J. Geophys. Res. , vol.80 , Issue.9 , pp. 1152-1162
    • Neshyba, S.1    Sobey, E.J.C.2
  • 67
    • 84939380373 scopus 로고
    • ARMA bispectrum approach to nonminimum phase system identification
    • Dept. Electrical and Computer Eng., Northeastern Univ., Boston, MA, Aug.
    • [67] C. L. Nikias, “ARMA bispectrum approach to nonminimum phase system identification,” Tech. Tep. CDSP-86-102, Dept. Electrical and Computer Eng., Northeastern Univ., Boston, MA, Aug. 1986.
    • (1986) Tech. Tep. CDSP-86-102
    • Nikias, C.L.1
  • 69
    • 0023263692 scopus 로고
    • Non-causal autoregressive bispectrum estimation and deconvolution
    • Dallas, TX, Apr.
    • [69] C. L. Nikias and H. H. Chiang, “Non-causal autoregressive bispectrum estimation and deconvolution,” in Proc. IEEE Int. Conf. ASSP (IC4SSP87) (Dallas, TX, Apr. 6–9, 1987).
    • (1987) Proc. IEEE Int. Conf. ASSP (IC4SSP , pp. 87-879
    • Nikias, C.L.1    Chiang, H.H.2
  • 70
    • 0023207189 scopus 로고
    • Nonminimum phase system identification via cepstrum modeling of higher-order cumu-lants
    • Dallas, TX, Apr.
    • [70] C.L. Nikias and R. Pan, “Nonminimum phase system identification via cepstrum modeling of higher-order cumu-lants,” in Proc. IEEE Int. Conf. ASSP (ICAASSP‘87), (Dallas, TX, Apr. 6-9, 1987).
    • (1987) Proc. IEEE Int. Conf. ASSP (ICAASSP'87) , pp. 6-9
    • Nikias, C.L.1    Pan, R.2
  • 71
    • 84885482187 scopus 로고
    • Discussion: Higher-order autospectra by maximum entropy method
    • Jan.
    • [71] C. L. Nikias and M. R. Raghuveer, “Discussion: Higher-order autospectra by maximum entropy method,” Geophysics, vol. 50, no. 1, pp. 165–166, Jan. 1985.
    • (1985) Geophysics , vol.50 , Issue.1 , pp. 165-166
    • Nikias, C.L.1    Raghuveer, M.R.2
  • 72
    • 0022146954 scopus 로고
    • Multidimensional parametric spectral estimation
    • Oct.
    • [72] C. L. Nikias and M. R. Raghuveer, “Multidimensional parametric spectral estimation,” Signal Processing, vol. 9, no. 3, Oct. 1985.
    • (1985) Signal Processing , vol.9 , Issue.3
    • Nikias, C.L.1    Raghuveer, M.R.2
  • 73
    • 0020741649 scopus 로고
    • The covariance least-squares algorithm for spectral estimation of processes of short data length
    • Apr.
    • [73] C. L. Nikias and P. D. Scott, “The covariance least-squares algorithm for spectral estimation of processes of short data length,” IEEE Trans. Geosci. Remote Sensing, vol. GE-21, no. 2, pp. 180–190, Apr. 1983.
    • (1983) IEEE Trans. Geosci. Remote Sensing , vol.GE-21 , Issue.2 , pp. 180-190
    • Nikias, C.L.1    Scott, P.D.2
  • 74
    • 0022288663 scopus 로고
    • Mixed-phase wavelet estimation via autoregressive bispectrum
    • Amhers: T, MA: U.Mass Press, Oct.
    • [74] C. L. Nikias, A. N. Venetsanopoulos, and B. Paramasivaiah, “Mixed-phase wavelet estimation via autoregressive bispectrum,” in Proc. 1985 Int. Geosc. Remote Sensing Symp., vol. 1. Amherst, MA: U. Mass Press, Oct. 1985, pp. 66–71.
    • (1985) Proc. 1985 Int. Geosc. Remote Sensing Symp , vol.1 , pp. 66-71
    • Nikias, C.L.1    Venetsanopoulos, A.N.2    Paramasivaiah, B.3
  • 75
    • 0022875649 scopus 로고
    • Identification of nonminimum phase communication channels via parametric modeling of third moments
    • Toronto, Ont., Canada, June
    • [75] C. L. Nikias, A. N. Venetsanopoulos, and B. Paramasivaiah, “Identification of nonminimum phase communication channels via parametric modeling of third moments,” in Proc. Int. Conf. Communications (Toronto, Ont., Canada, June 1986).
    • (1986) Proc. Int. Conf. Communications
    • Nikias, C.L.1    Venetsanopoulos, A.N.2    Paramasivaiah, B.3
  • 76
    • 0022790308 scopus 로고
    • Multichannel AR spectrum estimation: The optimum approach in the reflection coefficient domain
    • Oct.
    • [76] T. Ning and C. L. Nik i as, “Multichannel AR spectrum estimation: The optimum approach in the reflection coefficient domain,” IEEE Trans. Acoustics, Speech Signal Processing, vol. ASSP-34, no. 5, pp. 1139–1152, Oct. 1986.
    • (1986) IEEE Trans. Acoustics, Speech Signal Processing , vol.ASSP-34 , Issue.5 , pp. 1139-1152
    • Ning, T.1    Nikias, C.L.2
  • 77
    • 0023362386 scopus 로고
    • Phase reconstruction in the trispectrum domain
    • June
    • [77] R. Pan and C. L. Nikias, “Phase reconstruction i n the trispectrum domain,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, pp. 895–897, June 1987.
    • (1987) IEEE Trans. Acoust., Speech, Signal Processing , vol.ASSP-35 , pp. 895-897
    • Pan, R.1    Nikias, C.L.2
  • 78
    • 84885480980 scopus 로고
    • Time series analysis for models of signal plus white noise, in Spectral Analysis of Time Series
    • B. Harris, ed. New York, NY:
    • [78] E. Parz e n, “Time series analysis for models of signal plus white noise, in Spectral Analysis of Time Series, B. Harris, ED. New York, NY: 1967, 233–257.
    • (1967) , pp. 233-257
    • Parzen, E.1
  • 79
    • 84941504357 scopus 로고
    • Quadratic filters
    • Paris, France,
    • [79] B. Picinbono, “Quadratic filters,” in Proc. 1C-ASSP‘82, pp. 298–301 (Paris, France, 1982).
    • (1982) Proc. 1C-ASSP'82, pp , pp. 298-301
    • Picinbono, B.1
  • 80
  • 81
    • 0010278459 scopus 로고
    • Advances in equalization for intersymbol interference
    • New Yor: K, NY: Academic Press,
    • [81] J. G. Proakis, “Advances in equalization for intersymbol interference,” in Advances in Communication Systems, vol. 4. New York, NY: Academic Press, 1975, 124–194.
    • (1975) Advances in Communication Systems , vol.4 , pp. 124-194
    • Proakis, J.G.1
  • 82
    • 84910556632 scopus 로고
    • Bispectrum and multidimensional power spectrum estimation algorithms based on parametric models with applications to the analysis of ECG data
    • Univ. of Connecticut, Storrs, Dec.
    • [82] M. R. Raghuveer, “Bispectrum and multidimensional power spectrum estimation algorithms based on parametric models with applications to the analysis of ECG data,” Ph.D. dissertation, Univ. of Connecticut, Storrs, Dec. 1984.
    • (1984) Ph.D. dissertation
    • Raghuveer, M.R.1
  • 84
    • 0022227227 scopus 로고
    • Bispectrum estimation for short length data
    • [84] M. R. Raghuveer and C. L. Nikias, “Bispectrum estimation for short length data,” in Proc. ICASSP’85, pp. 1352–1355, 1985.
    • (1985) Proc. ICASSP'85, pp , pp. 1352-1355
    • Raghuveer, M.R.1    Nikias, C.L.2
  • 85
    • 0021176893 scopus 로고
    • A parametric approach to bispectrum estimation
    • [85] M. R. Raghuveer and C. L. Nikias, “A parametric approach to bispectrum estimation,” in Proc. ICASSP’84, 38.1.1-38.1.4, 1984.
    • (1984) Proc. ICASSP'84 , pp. 38.1.1-38.1.4
    • Raghuveer, M.R.1    Nikias, C.L.2
  • 88
    • 60749125386 scopus 로고
    • Bispectra and cross-bispectra bispectra of temperature, salinity, sound velocity and density fluctuations with depth off Northeastern Japan
    • [88] G. I. Roden and D. J. Bendiner, “Bispectra and cross-bispectra bispectra of temperature, salinity, sound velocity and density fluctuations with depth off Northeastern Japan,” J. Phys. Ocean, vol. 3, no. 3, pp. 308–317, 1973.
    • (1973) J. Phys. Ocean , vol.3 , Issue.3 , pp. 308-317
    • Roden, G.I.1    Bendiner, D.J.2
  • 89
    • 0001173207 scopus 로고
    • Linear processes and bispectra
    • [89] M. Rosenblatt, “Linear processes and bispectra,” J. Appl. Probab., vol. 17, pp. 265–270, 1980.
    • (1980) J. Appl. Probab. , vol.17 , pp. 265-270
    • Rosenblatt, M.1
  • 90
    • 0001457524 scopus 로고
    • Estimation of the bispectru m
    • [90] M. Rosenblatt and J. W. Van N e ss, “Estimation of the bispectru m,” Arm. Math. Statist., vol. 36, 1120–1136, 1965.
    • (1965) Arm. Math. Statist. , vol.36 , pp. 1120-1136
    • Rosenblatt, M.1    Van Ness, J.W.2
  • 91
    • 70350303626 scopus 로고
    • Cumulants and cumulant spectra
    • D. Brillinger and P. Krishnaiah, Eds.Amsterdam, The Netherlands: North-Holland,
    • [91] M. Rosenblatt, “Cumulants and cumulant spectra,” in Time Series in the Frequency Domain, D. Brillinger and P. Krishnaiah, Eds. Amsterdam, The Netherlands: North-Holland, 1983, pp. 369–382.
    • (1983) Time Series in the Frequency Domain , pp. 369-382
    • Rosenblatt, M.1
  • 93
    • 84885477152 scopus 로고
    • Statistical analysis of stochastic processes with stationary residuals
    • U. Grenander, Ed. New York, NY: Wiley
    • [93] M. Rosenblatt, “Statistical analysis of stochastic processes with stationary residuals,” in Probability and Statistics—The Harald Cramer Volume, U. Grenander, Ed. New York, NY: Wiley, 1959, pp. 125–139.
    • (1959) Probability and Statistics—The Harald Cramer Volume , pp. 125-139
    • Rosenblatt, M.1
  • 96
    • 0018918194 scopus 로고
    • Laser Doppler vibration measuring system using bispectral analysis
    • Jan.
    • [96] O. Sasaki, T. Sato, and T. Oda, “Laser Doppler vibration measuring system using bispectral analysis,” Appl. Opt., vol. 19, no. 1, pp. 151–153, Jan. 1980.
    • (1980) Appl. Opt. , vol.19 , Issue.1 , pp. 151-153
    • Sasaki, O.1    Sato, T.2    Oda, T.3
  • 97
  • 98
    • 0343991031 scopus 로고
    • Minimum bias windows for bispectral estimation
    • [98] K. Sasaki, T. Sato, and Y. Yamashita, “Minimum bias windows for bispectral estimation,” J. Sound Vib., vol. 40, no. 1, 139–148, 1975.
    • (1975) J. Sound Vib. , vol.40 , Issue.1 , pp. 139-148
    • Sasaki, K.1    Sato, T.2    Yamashita, Y.3
  • 99
    • 0343805361 scopus 로고
    • Bispectral holography
    • [99] T. Sato and K. Sasaki, “Bispectral holography,” J. Acoust. Soc. Amer., vol. 62, pp. 404–408, 1977.
    • (1977) J. Acoust. Soc. Amer. , vol.62 , pp. 404-408
    • Sato, T.1    Sasaki, K.2
  • 100
    • 84939343350 scopus 로고
    • Real-time bispectral analysis of gear noise and its application to contactless diag-nosis
    • [100] T. Sato, K. Sasaki, and Y. Nakamura, “Real-time bispectral analysis of gear noise and its application to contactless diag-nosis,” J. Acoust. Soc. Amer., vol. 62, pp. 382–387, 1977.
    • (1977) J. Acoust. Soc. Amer. , vol.62 , pp. 382-387
    • Sato, T.1    Sasaki, K.2    Nakamura, Y.3
  • 101
    • 0018151695 scopus 로고
    • New 3-D laser Doppler velocimeter using cross-bispectral analysis
    • Dec.
    • [101] T. Sato and O. Sasaki, “New 3-D laser Doppler velocimeter using cross-bispectral analysis,” Appl. Opt., vol. 17, no. 24, pp. 3890–3894, Dec. 1978.
    • (1978) Appl. Opt. , vol.17 , Issue.24 , pp. 3890-3894
    • Sato, T.1    Sasaki, O.2
  • 102
    • 84916346546 scopus 로고
    • A new ultrasonic imaging system using a rotating random phase disc and power spectral and third order correlation analysis
    • [102] T. Sato, S. Wadaka, J. Ishii, and T. Sunada, “A new ultrasonic imaging system using a rotating random phase disc and power spectral and third order correlation analysis,” in 7th Int. Symp. on Acoustic Imaging and Holography Proc., vol. 16, pp. 167–178, 1976.
    • (1976) 7th Int. Symp. on Acoustic Imaging and Holography Proc. , vol.16 , pp. 167-178
    • Sato, T.1    Wadaka, S.2    Ishii, J.3    Sunada, T.4
  • 103
    • 0017991559 scopus 로고
    • Imaging system using an intensity triple correlator
    • July
    • [103] T. Sato, S. Wadaka, J. Yamamoto, and J. Ishii, “Imaging system using an intensity triple correlator,” Appl. Opt., vol.17, no. 3, pp. 2047–2052, July 1978.
    • (1978) Appl. Opt. , vol.17 , Issue.3 , pp. 2047-2052
    • Sato, T.1    Wadaka, S.2    Yamamoto, J.3    Ishii, J.4
  • 104
    • 0017429688 scopus 로고
    • Absolute value optimization to estimate phase properties of stochastic time series
    • Jan.
    • [104] J. D. Scargle, “Absolute value optimization to estimate phase properties of stochastic time series,” IEEE Trans. Inform. Theory, vol. IT-23, pp. 140–143, Jan. 1977.
    • (1977) IEEE Trans. Inform. Theory , vol.IT-23 , pp. 140-143
    • Scargle, J.D.1
  • 106
    • 0013098425 scopus 로고
    • Some problems in the spectral theory of higher-order moments, I
    • [106] A. N. Shiryaev, “Some problems in the spectral theory of higher-order moments, I,” Theory Prob. Appl., vol. 5, pp. 265–284, 1960.
    • (1960) Theory Prob. Appl. , vol.5 , pp. 265-284
    • Shiryaev, A. N.1
  • 107
    • 35848939114 scopus 로고
    • On conditions for eogodicity of stationary processes in terms of higher order moments
    • [107] A. N. Shiryaev, “On conditions for eogodicity of stationary processes in terms of higher order moments,” Theory Prob. Appl., vol. 8, pp. 436–439, 1963.
    • (1963) Theory Prob. Appl. , vol.8 , pp. 436-439
    • Shiryaev, A.N.1
  • 108
    • 35848951325 scopus 로고
    • On higher order spectral measures of ergodic stationary processes
    • [108] Y. G. S i nai, “On higher order spectral measures of ergodic stationary processes,” Theory Prob. Appl., vol. 8, pp. 429–436, 436, 1963.
    • (1963) Theory Prob. Appl. , vol.8 , pp. 429-436
    • Sinai, Y.G.1
  • 109
    • 0038705506 scopus 로고
    • Wavelet estimation
    • Oct.
    • [109] D. G. Stone, “Wavelet estimation,” Proc. IEEE, vol. 72, pp. 1394–1402, Oct. 1984.
    • (1984) Proc. IEEE , vol.72 , pp. 1394-1402
    • Stone, D.G.1
  • 110
    • 84986811816 scopus 로고
    • A test for linearity of stationary time series
    • GB), vol.
    • [110] T. Subba Rao and M. M. Gabr, “ A test for linearity of stationary time series,” J. Time Series Analysis (GB), vol. 1, no. 2, pp. 145–158, 1980.
    • (1980) J. Time Series Analysis , vol.1 , Issue.2 , pp. 145-158
    • Rao, T.S.1    Gabr, M.M.2
  • 111
    • 0042282924 scopus 로고
    • A central limit theorem for non-linear functions of normal stationary processes
    • [111] T. C. Sun, “A central limit theorem for non-linear functions of normal stationary processes,” J. Math. Mech., vol. 12, pp. 945–978, 1963.
    • (1963) J. Math. Mech. , vol.12 , pp. 945-978
    • Sun, T.C.1
  • 113
    • 0020189541 scopus 로고
    • Spectrum estimation and harmonic analysis
    • [113] D. J. Thomson, “Spectrum estimation and harmonic analysis,” Proc. IEEE, vol. 70, pp. 1055–1096, 1982.
    • (1982) Proc. IEEE , vol.70 , pp. 1055-1096
    • Thomson, D.J.1
  • 114
    • 84946637877 scopus 로고
    • The estimation of transfer functions of quadratic systems
    • [114] L. J. Tick, “The estimation of transfer functions of quadratic systems,” Technometrics, vol. 3, pp. 563–567, 1961.
    • (1961) Technometrics , vol.3 , pp. 563-567
    • Tick, L.J.1
  • 115
    • 84885472280 scopus 로고    scopus 로고
    • The bispectrum and higher-order spectra: A bibliography
    • Washington, DC, Rep. PB81-209322.
    • [115] P. V. Tryon, “The bispectrum and higher-order spectra: A bibliography,” Nat. Bur. Stand., Washington, DC, Rep. PB81-209322.
    • Nat. Bur. Stand.
    • Tryon, P.V.1
  • 116
    • 0021641717 scopus 로고
    • Identification of nonminimum phase linear stochastic systems
    • Las Vegas, NV, Dec.
    • [116] J. K. Tugnait, “Identification of nonminimum phase linear stochastic systems,” in Proc. 23rd IEEE Conf. Decision and Control, pp. 342–347 (Las Vegas, NV, Dec. 1984).
    • (1984) Proc. 23rd IEEE Conf. Decision and Control , pp. 342-347
    • Tugnait, J.K.1
  • 117
    • 84939375641 scopus 로고
    • Realization and reduction of S.I.S.O. nonminimum phase stochastic systems
    • V. B. Desai, Ed.Boston, MA: Kluwer, ch. 8, pp.
    • [117] J. K. Tugnait, “Realization and reduction of S.I.S.O. nonminimum phase stochastic systems,” in Modeling and Application of Stochastic Processes, V. B. Desai, Ed. Boston, MA: Kluwer, 1986, ch. 8, pp. 194–214.
    • (1986) Modeling and Application of Stochastic Processes , pp. 194-214
    • Tugnait, J.K.1
  • 118
    • 0023347187 scopus 로고
    • Identification of linear stochastic systems via second and fourth order cumulant matching
    • May
    • [118] J. K. Tugnait, “Identification of linear stochastic systems v i a second and fourth order cumulant matching,” IEEE Trans. Informat. Theory, vol. IT-33, pp. 393–407, May 1987.
    • (1987) IEEE Trans. Informat. Theory , vol.IT-33 , pp. 393-407
    • Tugnait, J.K.1
  • 119
    • 0008038695 scopus 로고
    • An introduction to the measurement of spectra
    • U. Grenander, ed. New York, NY: Wiley,
    • [119] T. W. Tukey, “An introduction to the measurement of spectra,” in Probability and Statistics, U. Grenander, Ed. New York, NY: Wiley, 1959, pp. 300–330.
    • (1959) Probability and Statistics , pp. 300-330
    • Tukey, T.W.1
  • 120
    • 84885474857 scopus 로고
    • Bispectral measurements in turbulence computations
    • Lecture Notes in Physics. New York, NY: Springer-Verlag, pp.
    • [120] C. W. Van Atta, “Bispectral measurements in turbulence computations,” in Proc. 6th Int. Conf. on Numerical Methods in Fluid Dynamics (in Lecture Notes in Physics. New York, NY: Springer-Verlag, pp. 530–536, 1978).
    • (1978) Proc. 6th Int. Conf. on Numerical Methods in Fluid Dynamics , pp. 530-536
    • Van Atta, C.W.1
  • 121
    • 0018301717 scopus 로고
    • Inertial range bispectra in turbulence
    • [121] C. W. Van Atta, “Inertial range bispectra in turbulence,” Phys. Fluids, vol. 22, no. 8, pp. 1440–1442, 1979.
    • (1979) Phys. Fluids , vol.22 , Issue.8 , pp. 1440-1442
    • Van Atta, C.W.1
  • 122
    • 0001294993 scopus 로고
    • Asymptotic normality of bispectral estimates
    • [122] J. W. Van Ness, “Asymptotic normality of bispectral estimates,” Ann. Math. Statist., vol. 37, pp. 1257–1272, 1966.
    • (1966) Ann. Math. Statist. , vol.37 , pp. 1257-1272
    • Van Ness, J.W.1
  • 123
    • 84975674621 scopus 로고
    • Image reconstruction by the speckle-masking method
    • July
    • [123] G. P. Weigelt and B. Wirnitzer, “Image reconstruction by the speckle-masking method,” Opt. Lett., vol. 8, no. 7, pp. 389–391, July 1983.
    • (1983) Opt. Lett. , vol.8 , Issue.7 , pp. 389-391
    • Weigelt, G.P.1    Wirnitzer, B.2
  • 124
    • 0022246344 scopus 로고
    • Voiced/unvoiced decision based on the bispectrum
    • Tampa, FL, Mar.
    • [124] B. Wells, “Voiced/unvoiced decision based on the bispectrum,” in Proc. ICASSP’85, pp. 1589–1592 (Tampa, FL, Mar. 1985).
    • (1985) Proc. ICASSP'85, pp , pp. 1589-1592
    • Wells, B.1
  • 125
    • 84910544413 scopus 로고
    • Spectral analysis and Q of the free oscillations of the earth
    • [125] M. B. Zado and M. Caputo, “Spectral analysis and Q of the free oscillations of the earth,” Suppl. Nouvo Cimento, vol. 6, pp. 67–81, 1968.
    • (1968) Suppl. Nouvo Cimento , vol.6 , pp. 67-81
    • Zado, M.B.1    Caputo, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.