On the 4D Mixed Lattice IIR Digital Filter: Part I

This study is concerned with a new four dimensional (4D) lattice filter which has the special feature that the orientation of the internal arrows has mixed directions (right and left). This filter, utilizes a minimum number of time delays as well as an overall minimum statespace vector. Moreover, the all–pass lattice property, as in the conventional one–dimensional (1D) case, also applies to the proposed four–dimensional mixed lattice filter. Low–order four and two dimensional examples are used to illustrate the properties and structures of the mixed lattice circuit implementations.