The article presents an example of the use of functional series for the analysis of nonlinear systems for discrete time signals. The homogeneous operator is defined and it is decomposed into three component operators: the multiplying operator, the convolution operator and the alignment operator. An important case from a practical point of view is considered – a cascade connection of two polynomial systems. A new, binary algorithm for determining the sequence of complex kernels of cascade from two sequences of kernels of component systems is presented. Due to its simplicity, it can be used during iterative processes in the analysis of nonlinear systems (e.g. feedback systems).

JO - Bulletin of the Polish Academy of Sciences: Technical Sciences L1 - http://so.czasopisma.pan.pl/Content/114304/PDF/12_963-968_01071_Bpast.No.67-4_31.10.19_K.pdf L2 - http://so.czasopisma.pan.pl/Content/114304 EP - 968 KW - functional series KW - operators KW - cascade connection KW - binary algorithms ER - A1 - Siwczyński, M. A1 - Żaba, S. VL - No. 5 JF - Bulletin of the Polish Academy of Sciences: Technical Sciences SP - 963 T1 - The binary algorithm of cascade connection of nonlinear digital filters described in functional series UR - http://so.czasopisma.pan.pl/dlibra/docmetadata?id=114304 DOI - 10.24425/bpasts.2019.130879