On the Problems of Constructing Minimal Realizations for Two-Dimensional Filters

@article{Fornasini1980OnTP,
  title={On the Problems of Constructing Minimal Realizations for Two-Dimensional Filters},
  author={Ettore Fornasini and Giovanni Marchesini},
  journal={IEEE Transactions on Pattern Analysis and Machine Intelligence},
  year={1980},
  volume={PAMI-2},
  pages={172-176}
}
The input-output behavior of a two-dimensional linear filter is defined by a formal power series in two variables. If the power series is rational the dynamics of the filter is described by updating equations on finite dimensional local state spaces. The class of realizations considered in this paper is constituted by doubly indexed dynamical systems of reduced structure. The construction of the class of minimal realizations is based on matrix representation techniques of noncommutative power… CONTINUE READING

Topics from this paper.

References

Publications referenced by this paper.
SHOWING 1-2 OF 2 REFERENCES

Effective construction of linear state - variable models from input / output functions

  • Fornasini
  • Proc . 3 rd Allerton Conf on Circuit and System Theory
  • 1965