A Composite Linear Model Generating A Stationary Stochastic Process With Given Bispectrum
- 24 August 2005
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
Abstract
A composite linear model is proposed, which converts from non-Gaussian i.i.d. processes into a nOnGaussian stationary stochastic processes with given third-order cumulant spectrum and with white power spectrum. The design for the model is based on the fact that a type of finite-impulse-response linear system with non-Gaussian i.i.d. input process makes an output process whose third order autocorrelations exist only for special time lags. Arbitrary third order autocorrelation function can be obtained by some superposition of independent output processes of this type. Results of numerical experiments confirm this fact. This model requires at most 2L2+4L+1 input i.i.d. processes independent of one another, for the third order autocorrelation function with the largest time lag L. With sufficient large L, a process with desired bispectrum can be made by this model.Keywords
This publication has 12 references indexed in Scilit:
- A test of nonlinear autoregressive modelsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- ON THE THIRD‐ORDER MOMENT STRUCTURE AND BISPECTRAL ANALYSIS OF SOME BILINEAR TIME SERIESJournal of Time Series Analysis, 1988
- Linear/nonlinear forms and the normal law: Characterization by high order correlationsAnnals of the Institute of Statistical Mathematics, 1987
- ON LINEAR PROCESSES WITH GIVEN MOMENTSJournal of Time Series Analysis, 1987
- A spectrum Separation Method for the Sum of Two Non-Gaussian Stationary Time Series Using Higher Order PeriodogramsIEEE Journal of Oceanic Engineering, 1987
- Bispectrum estimation: A parametric approachIEEE Transactions on Acoustics, Speech, and Signal Processing, 1985
- Deconvolution and Estimation of Transfer Function Phase and Coefficients for Nongaussian Linear ProcessesThe Annals of Statistics, 1982
- TESTING FOR GAUSSIANITY AND LINEARITY OF A STATIONARY TIME SERIESJournal of Time Series Analysis, 1982
- A TEST FOR LINEARITY OF STATIONARY TIME SERIESJournal of Time Series Analysis, 1980
- The identification of a particular nonlinear time series systemBiometrika, 1977