Frequency localising basis functions for wide-band identification

@article{Welsh2003FrequencyLB,
  title={Frequency localising basis functions for wide-band identification},
  author={James S. Welsh and Graham C. Goodwin},
  journal={2003 European Control Conference (ECC)},
  year={2003},
  pages={376-381}
}
A well known difficulty in system identification over a large bandwidth is the ill-conditioning of the normal matrix. This typically manifests itself as poor or erroneous estimates. Several methods have been proposed in the literature for addressing this issue. However, none appear to give an entirely satisfactory solution. Here we present a novel technique, utilising particular basis functions, aimed specifically at improving the numerical properties of the least squares normal matrix in… CONTINUE READING

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