Generalized one-multiplier lattice discrete 2-D filters: minimal circuit and state-space realization

George E. Antoniou · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 2001

A circuit realization is presented for generalized one-multiplier lattice discrete two-dimensional (2-D) filters. The proposed structure has a minimum number of delay elements and multipliers. Based on this circuit realization, the corresponding state-space realization-representation is derived. The dimension of the 2-D state-space vector is minimal and the corresponding transfer function is characterized by the all-pass property.

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