The binary algorithm of cascade connection of nonlinear digital filters described in functional series
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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Polish Academy of Sciences
2019-10-01
|
| Series: | Bulletin of the Polish Academy of Sciences: Technical Sciences |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/114304/PDF/12_963-968_01071_Bpast.No.67-5_03.02.20.pdf |
| _version_ | 1798040725527461888 |
|---|---|
| author | M. Siwczyński S. Żaba |
| author_facet | M. Siwczyński S. Żaba |
| author_sort | M. Siwczyński |
| collection | DOAJ |
| description | 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). |
| first_indexed | 2024-04-11T22:11:31Z |
| format | Article |
| id | doaj.art-2cc51a859b4f4dc7803c9901faeac4e4 |
| institution | Directory Open Access Journal |
| issn | 2300-1917 |
| language | English |
| last_indexed | 2024-04-11T22:11:31Z |
| publishDate | 2019-10-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Bulletin of the Polish Academy of Sciences: Technical Sciences |
| spelling | doaj.art-2cc51a859b4f4dc7803c9901faeac4e42022-12-22T04:00:32ZengPolish Academy of SciencesBulletin of the Polish Academy of Sciences: Technical Sciences2300-19172019-10-01No. 5963968https://doi.org/10.24425/bpasts.2019.130879The binary algorithm of cascade connection of nonlinear digital filters described in functional seriesM. SiwczyńskiS. ŻabaThe 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).https://journals.pan.pl/Content/114304/PDF/12_963-968_01071_Bpast.No.67-5_03.02.20.pdffunctional seriesoperatorscascade connectionbinary algorithms |
| spellingShingle | M. Siwczyński S. Żaba The binary algorithm of cascade connection of nonlinear digital filters described in functional series Bulletin of the Polish Academy of Sciences: Technical Sciences functional series operators cascade connection binary algorithms |
| title | The binary algorithm of cascade connection of nonlinear digital filters described in functional series |
| title_full | The binary algorithm of cascade connection of nonlinear digital filters described in functional series |
| title_fullStr | The binary algorithm of cascade connection of nonlinear digital filters described in functional series |
| title_full_unstemmed | The binary algorithm of cascade connection of nonlinear digital filters described in functional series |
| title_short | The binary algorithm of cascade connection of nonlinear digital filters described in functional series |
| title_sort | binary algorithm of cascade connection of nonlinear digital filters described in functional series |
| topic | functional series operators cascade connection binary algorithms |
| url | https://journals.pan.pl/Content/114304/PDF/12_963-968_01071_Bpast.No.67-5_03.02.20.pdf |
| work_keys_str_mv | AT msiwczynski thebinaryalgorithmofcascadeconnectionofnonlineardigitalfiltersdescribedinfunctionalseries AT szaba thebinaryalgorithmofcascadeconnectionofnonlineardigitalfiltersdescribedinfunctionalseries AT msiwczynski binaryalgorithmofcascadeconnectionofnonlineardigitalfiltersdescribedinfunctionalseries AT szaba binaryalgorithmofcascadeconnectionofnonlineardigitalfiltersdescribedinfunctionalseries |