Lattice Structure Realization for The Design of 2-D Digital Allpass Filters With General Causality

Novel 2-D cascade ladder-lattice structure recursive digital filters

“…We can see that the transfer function (10) is the same as ( 4) and the minimal number of delay units is equals to the minimal number of basic lattice sections.…”

“…For 𝑣 2 = 1 and 𝑣 1 = 𝑣 0 = 0, the above transfer function (10) takes the form: It is obvious that the above transfer function ( 13) can provide filters having all-pass and all-pole characteristics as in [11].…”

“…This paper aims to propose a new lattice-ladder structure of 2-D digital filter, composed of a delay unit z 1 −1 and a basic lattice section z 1 z 2 −1 other than the one proposed in [7][8][9], which are two delay units z 1 −1 and z 2 −1 are used. Furthermore, we have considered the proposed lattice structure by using a state-space 2-D Givone-Roesser's form description presented in [9] and the implementations recommended by the authors in [10][11][12][13][14]. Using a matrix representation of the basic lattice sections and we derived transfer functions of the proposed 2-D digital ladder-lattice filters.…”