Title :
Nonlinear systems and higher-order statistics
Author_Institution :
Dept. of Statistics, California Univ., Riverside, CA, USA
Abstract :
The author illustrates various ways higher order statistics are used in the analysis of various nonlinear models. The Navier-Stokes equation is used to illustrate the nonlinear interaction of different wave numbers in a homogeneous velocity field. A hybrid method is used to illustrate the estimation of bispectral density function of a continuous-time stationary process sampled by a random point process. A set of specific nonlinear models is used to demonstrate the use of higher order statistics to discriminate among competing models.
Keywords :
Navier-Stokes equations; nonlinear systems; spectral analysis; statistical analysis; Navier-Stokes equation; bispectral analysis; bispectral density function; continuous-time stationary process; higher-order statistics; homogeneous velocity field; hybrid method; nonlinear interaction; nonlinear models; random point process; Autoregressive processes; Biomedical engineering; Density functional theory; Higher order statistics; Moment methods; Navier-Stokes equations; Nonlinear systems; Power system modeling; Sampling methods; Time series analysis;
Conference_Titel :
Higher-Order Statistics, 1993., IEEE Signal Processing Workshop on
Conference_Location :
South Lake Tahoe, CA, USA
Print_ISBN :
0-7803-1238-4
DOI :
10.1109/HOST.1993.264608
