Bujosa, MarcosGarcia-Ferrer, AntonioYoung, Peter C2015-12-100167-9473http://hdl.handle.net/1885/49895Among the alternative unobserved components formulations within the stochastic state space setting, the dynamic harmonic regression (DHR) model has proven to be particularly useful for adaptive seasonal adjustment, signal extraction, forecasting and back-casting of time series. First, it is shown how to obtain AutoRegressive moving average (ARMA) representations for the DHR components under a generalized random walk setting for the associated stochastic parameters; a setting that includes several well-known random walk models as special cases. Later, these theoretical results are used to derive an alternative algorithm, based on optimization in the frequency domain, for the identification and estimation of DHR models. The main advantages of this algorithm are linearity, fast computational speed, avoidance of some numerical issues, and automatic identification of the DHR model. The signal extraction performance of the algorithm is evaluated using empirical applications and comprehensive Monte Carlo simulation analysis.Keywords: Algorithms; Harmonic analysis; Monte Carlo methods; Numerical methods; Optimization; Parameter estimation; Random processes; Signal processing; State space methods; Time series analysis; Dynamic harmonic regression; Ordinary least squares; Spectral fittin Dynamic harmonic regression; Ordinary least squares; Spectral fitting; Unobserved component models200710.1016/j.csda.2007.07.0082015-12-09