Realization of 4D Lattice-Ladder Digital Filters
A circuit realization is presented for four-dimensional (4D) lattice-ladder discrete filters. The proposed 4D circuit realization requires, for its implementation, a minimum number of delay elements. Further, the dimension of the state-vector, of the derived 4D state-space model, is minimal and its 4D transfer function is characterized by the all-pass property. A step-by-step low-order example is provided to demonstrate the proposed minimality of both, circuit, and state-space realizations. An educational conjointment of 4D lattice filters with lower dimension filters (2D, 1D), is imparted.
MSU Digital Commons Citation
Kousoulis, Minas T. and Antoniou, George, "Realization of 4D Lattice-Ladder Digital Filters" (2016). Department of Computer Science Faculty Scholarship and Creative Works. 506.