Title :
Modeling of two-dimensional systems using cumulants
Author :
Valenzuela, Hector M. ; Salvia, A. David
Author_Institution :
Dept. of Electr. & Comput. Eng., Pennsylvania State Univ., University Park, PA, USA
Abstract :
The problem of obtaining the ARMA parameters of a 2-D system using slices of the output cumulant is considered. It is shown that cumulant slices can be used to identify the AR part of the model only if the system is causal and the denominator is product separable. With these restrictions, a computationally feasible method of determining the order of the denominator polynomials and finding the denominator polynomial coefficients is obtained. Existing methods can then be used to produce the numerator polynomial coefficients. The method is then verified through simulations
Keywords :
multidimensional systems; parameter estimation; polynomials; signal processing; statistical analysis; ARMA parameters; cumulant slices; denominator polynomial coefficients; modelling; numerator polynomial coefficients; output cumulant; parameter estimates; signal processing; system identification; two-dimensional systems; Additive noise; Autocorrelation; Computational complexity; Computational modeling; Gaussian noise; Higher order statistics; Polynomials; Signal processing; Signal processing algorithms; System identification;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference on
Conference_Location :
Toronto, Ont.
Print_ISBN :
0-7803-0003-3
DOI :
10.1109/ICASSP.1991.151012