BISPECTRAL ANALYSIS OF 2-DIMENSIONAL RANDOM-PROCESSES

被引：12

作者：

CHANDRAN, V

ELGAR, S

机构：

[1] Electrical and Computer Engineering Department, Washington State University, Pullman

来源：

IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING | 1990年 / 38卷 / 12期

关键词：

12;

D O I：

10.1109/29.61546

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The techniques used for bispectrum estimation of harmonic one-dimensional random processes are extended to two-dimensional processes. Bispectral analysis of two-dimensional processes may be used to obtain information not available in one dimension, such as the detection of coupling between waves traveling in different directions. Such coupling is detectable in a noisy environment by the bispectral techniques presented here. Symmetry relations are used to reduce the size of the region of bispectral computations, but unlike the one-dimensional case, accounting for the directions of the interacting waves influences the procedure for determining the minimum required region of computation. Even with a reduced region of computation, bispectrum estimation in two dimensions is both memory and computation intensive. Bispectral analysis of numerically simulated realizations of multidimensional wave data demonstrate a) detection of nonlinear coupling between waves traveling in different directions, b) estimation of the degree of coupling of such an interaction, and c) the effect of leakage of power into sidelobes on bicoherence values both with and without windowing of the data. © 1990 IEEE

引用

页码：2181 / 2186

页数：6

共 12 条

[1]

Hasselmann K., Munk W.H., MacDonald G.J.F., Bispectra of ocean waves, Time Series Analysis, pp. 125-139, (1963)

[2]

Haubrich R.A., Earth noise, 5 to 500 millicycles per second, J. Geophys. Res., 70, pp. 1415-1427, (1965)

[3]

Brillinger D.R., Rosenblatt M., Asymptotic theory of estimates of kth order spectra, Spectral Analysis of Time Series, pp. 153-188, (1967)

[4]

Brillinger D.R., Rosenblatt M., Computation and interpretation of kth order spectra, Spectral Analysis of Time Series, pp. 189-232, (1967)

[5]

Kim Y.C., Powers E.J., Digital bispectral analysis and its applications to nonlinear wave interactions, IEEE Trans. Plasma Sci., PS-7, pp. 120-131, (1979)

[6]

Nikias C.L., Raghuveer M.R., Bispectrum estimation: A digital signal processing framework, Proc. IEEE, 75, pp. 869-889, (1987)

[7]

Bartelt H., Wirnitzer B., Shift-invariant imaging of photon-limited data using bispectral analysis, Opt. Commun., 53, pp. 13-16, (1985)

[8]

Raghuveer M.R., Dianat S.A., Detection of nonlinear phase coupling in multidimensional stochastic processes, Int. Conf. Adv. Contr., Commun., pp. 729-732, (1988)

[9]

Dianat S.A., Raghuveer M.R., Sundaramoorthy G., Reconstruction of nonminimum phase multidimensional signal using the bispectrum, SPIE Conf. Visual Commun., Image Processing III, pp. 666-671, (1988)

[10]

Swami A., Giannakis G.B., ARMA modeling and phase reconstruction of multidimensional non-Gaussian processes using cumulants, Proc. ICASSP-88, pp. 729-732, (1988)

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