Algorithmic utilization of LDI transform for discrete-time filter design

The LDI matrix is introduced in its full and shortened forms. As an analogy of the Pascal matrix for the bilinear transform, the LDI matrix serves to transform the coefficients of the transfer functions of continuous- and discrete-time linear circuits which are connected by the LDI (Lossless Discrete Integration) transform. The basic properties of the LDI matrix are presented and a procedure of its algorithmic compilation is proposed.