@ARTICLE{Siwczyński_Maciej_The_2013, author={Siwczyński, Maciej and Drwal, Andrzej and Żaba, Sławomir}, volume={vol. 62}, number={No 3 September}, journal={Archives of Electrical Engineering}, pages={497-504}, howpublished={online}, year={2013}, publisher={Polish Academy of Sciences}, abstract={In this paper the way of modeling phenomena occurring during the voltage and current waves passing through a point connection of two lines, with different wave impedance operators, is presented. This connection point is called „the wave transformer”. The analyzes and the resulting formulas concern not the frequency domain, but the time domain. The appropriate transition matrices of waves through the wave transformer are defined. This matrices are the convolution integral-derivative operators of fractional order (the digital filters). For a lossless line the wave transition matrices through the wave transformer become number type instead of operator type. All matrix multiplications occurring in the formulas should be understood in convolution way.}, type={Artykuły / Articles}, title={The wave transformer – analysis and application of time digital filters and the integral-derivative operators of ½ order}, URL={http://www.czasopisma.pan.pl/Content/84839/PDF/12_paper.pdf}, doi={10.2478/aee-2013-0040}, keywords={wave transformer, integral-derivative operators of fractional order, convolution operators, time domain, digital filters}, }