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Stable quarter-plane 2-D lattice filters

Stable quarter-plane 2-D lattice filters

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The stability of the two-dimensional quarter-plane lattice filter developed by Parker and Kayran is not guaranteed. Their lattice filter is potentially unstable unless a number of conditions are satisfied. The validity of these conditions are difficult to test. Three different lattice filter structures which are structurally stable for all parameters are presented.

References

    1. 1)
      • S.R. Parker , A.H. Kayran . Lattice parameter autoregressive modeling of two-dimensional fields, Part I. The quarter-plane case. IEEE Trans. , 872 - 885
    2. 2)
      • Lev-Ari, H., Parker, S.R.: `Stable and efficient 2-D lattice filter', Proc. ICASSP '86, p. 695–698.
http://iet.metastore.ingenta.com/content/journals/10.1049/el_19900526
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