R. Treasure,∗ A. Ghafoor∗ ,∗∗ and V. Sreeram∗
Frequency weighted, identification, model reduction, 2-D approxi- mation, separable denominator system
A model reduction scheme for causal recursive separable denomina- tor (CRSD) 2-D models is outlined. Frequency weightings are intro- duced to improve the model accuracy over the operating bandwidth. The weighting matrices are defined using the impulse responses of input and output weighting filters, and then the model is reduced using balanced truncation. The models are demonstrated to corre- spond to a frequency weighted balanced realization. An example is provided to illustrate that the proposed method provides improved accuracy over the desired frequency range.
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