On the efficiency of output-error estimators |
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Authors: | Kabaila P. |
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Affiliation: | Commonwealth Scientific and Industrial Research Organization, South Melbourne, Victoria, Australia; |
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Abstract: | In this correspondence we consider a system with rational transfer function from input to output where the transfer function haspparameters. It is proved in [1] that when the input is a sum of sinusoids and has a two-sided line spectrum consisting ofpdistinct frequencies, then the output-error estimator and the prediction-error estimator are equally efficient. This result, which is at first sight a surprising one, is given an intuitively pleasing proof in this correspondence. This proof is based on the algorithm of [2]. |
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