5D IIR and All-Pole Lattice Digital Filters

The absolute minimum number of delay elements characterizes the implementation of this newly proposed five dimensional (5D) circuits, having infinite impulse response (IIR), as well as all-pole digital filters. For both structures, filters having the lattice property are considered. The 5D circuit realizations use, for their implementation, a minimum number of delay components. In addition, the dimension of the state-space vector, of this particular implementation of the 5D model, is minimal. The minimization of circuit implementations and their realizations in state-space is demonstrated with two illustrative examples.