T. Soderstrom et al., AN EFFICIENT AND VERSATILE ALGORITHM FOR COMPUTING THE COVARIANCE FUNCTION OF AN ARMA PROCESS, IEEE transactions on signal processing, 46(6), 1998, pp. 1591-1600
Computation of an ARMA covariance function is a common ingredient in a
nalysis and synthesis of various problems in stochastic control, estim
ation, and signal processing, Several approaches can be used for this
purpose. In this paper, we present an algorithm based on simple polyno
mial calculations. Compared with alternative strategies, it has small
computational load, shows good numerical robustness, and can be extend
ed to handle multivariable ARMA processes, even with complex-valued co
efficients.