Digital Bispectral Analysis and Its Applications to Nonlinear Wave Interactions

IEEE Transactions on Plasma Science

Volumn 7, Issue 2, 1979, Pages 120-131

  Kim, Young C ^a   Powers, Edward J ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TRANSFORMATIONS - FOURIER TRANSFORMS; SPECTRUM ANALYSIS;

BISPECTRUM ANALYSIS;

PLASMAS;

EID: 0018480106     PISSN: 00933813     EISSN: 19399375     Source Type: Journal    
DOI: 10.1109/TPS.1979.4317207     Document Type: Article

References (24)

1. D. E. Smith, E. J. Powers, and G. S. Caldwell, “Fast-Fourier transform spectral analysis techniques as a plasma fluctuation diagnostic tool,” IEEE Trans. Plasma Sci., vol. PS-2, p. 263, 1974.
2. D. E. Smith and E. J. Powers, “Experimental determination of the spectral index of a turbulent plasma from digitally computed power spectra,” Phys. Fluids, vol. 16, p. 1373, 1973.
3. W. C. Turner, E. J. Powers, and T. C. Simonen, “Properties of electrostatic ion-cyclotron waves in a mirror machine,” Phys. Rev. Lett., vol. 39, p. 1087, 1977.
4. E. J. Powers, “Spectral techniques for experimental determination of plasma diffusion due to polychromatic fluctuations,” Nucl. Fusion, vol. 14, p. 749, 1974.
5. J. R. Roth, W. M. Krawczonek, E. J. Powers, J. Y. Hong, and Y. C. Kim, “Inward transport of a toroidally confined plasma subject to strong radial electric fields,” Phys. Rev. Lett., vol. 40, p. 1450, 1978.
6. K. Hasselmann, W. H. Munk, and G. J. F. MacDonald, “Bi-spectra spectra of ocean waves,” in Time Series Analysis. M. Rosenblatt, Ed. New York: Wiley, 1963, p. 125.
7. K. S. Lii, M. Rosenblatt, and C. VanAtta, “Bispectral measurements in turbulence,” J. Fluid Mech., vol. 77, p. 45, 1976.
8. Y. C. Kim and E. J. Powers, “Digital bispectral analysis of self- excited fluctuation spectra,” Phys. Fluids, vol. 21, p. 1452, 1978.
9. D. R. Brillinger and M. Rosenblatt, “Asymptotic theory of estimate of k-th order spectra,” in Spectral Analysis of Time Series. B. Harris, Ed. New York: Wiley, 1967.
10. ―, “Computation and interpretation of k-th order spectra,” in Spectral Analysis of Time Series. B. Harris, Ed. New York: Wiley, 1967.
11. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics, vol. 1. Cambridge, MA: MIT Press, 1971.
12. D. R. Brillinger, Time Series. New York: Holt, 1975.
13. R. C. Davidson, Methods in Nonlinear Plasma Theory. New York: Academic, 1972, ch. 6.
14. R. Z. Sagdeev and A. A. Galeev, Nonlinear Plasma Theory. New York: Benjamin, 1969, ch. 1.
15. G. M. Jenkins and D. G. Watts, Spectral Analysis and Its Application. San Francisco, CA: Holden-Day, 1968.
16. Y. C. Kim and E. J. Powers, “Effects of frequency averaging on estimates of plasma wave coherence spectra,” IEEE Trans. Plasma Sci., vol. PS-5, p. 31, 1977.
17. E. O. Brigham, The Fast Fourier Transform. Englewood Cliffs, NJ: Prentice-Hall, 1974.
18. W. B. Davenport, Probability and Random Process. New York: McGraw-Hill, 1970, ch. 8.
19. F. J. Harris, “On the use of windows for harmonic analysis with the discrete Fourier transform,” Proc. IEEE, vol. 66, p. 51, 1978.
20. 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, p. 347, 1968.
21. P. B. Mumola and E. J. Powers, “Characteristics of unstable waves in a weakly ionized high-frequency magnetoplasma,” Phys. Rev. Lett., vol. 22, p. 991, 1969.
22. L. P. Mix, L. N. Litzenberger, and G. Bekefi, “Nonlinear coupling of ion-acoustic waves in a collisionless plasma,” Phys. Fluids, vol. p. 2020, 1972.
23. J. M. Buzzi and J. L. Hirshfield, “Nonlinear harmonic generation of ion-acoustic waves with dispersion,” Phys. Fluids, vol. 19, p. 554, 1976.
24. B. B. Kadomtsev, Plasma Turbulence. New York: Academic, 1965, p. 81.