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A unified approach to modeling multichannel ARMA processes

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3 Author(s)
Swami, A. ; Dept. of Electr. Eng.-Syst., Univ. of Southern California, Los Angeles, CA, USA ; Giannakis, G.B. ; Mendel, J.M.

Using a compact Kronecker-product-based representation for the cumulants of vector processes, the authors develop several techniques for estimating the parameters of a multichannel ARMA (autoregressive moving average) process, from sample cumulants of the output processes: (1) the AR parameters are estimated first; the MA parameters are then estimated from the AR compensated time series. (2) AR and IR (impulse response) parameters are estimated simultaneously; (3) an algorithm that handles causal as well as noncausal ARMA models, by transforming the ARMA parameter estimation problem to a pair of MA parameter estimation problems, is given. Order-determination techniques are also proposed. The algorithms are applicable to both stochastic and deterministic problems

Published in:

Acoustics, Speech, and Signal Processing, 1989. ICASSP-89., 1989 International Conference on

Date of Conference:

23-26 May 1989

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