The wave transformer – analysis and application of time digital filters and the integral-derivative operators of ½ order

• Autorzy: Siwczyński M. , Drwal A. , Żaba S.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

wave transformer; integral-derivative operators of fractional order; convolution operators; time domain; digital filters

• Wydawca: Polish Academy of Sciences, Committee on Electrical Engineering
• Czasopismo: Archives of Electrical Engineering
• Rocznik: 2013
• Tom: Vol. 62, nr 3
• Strony: 497--504
• Opis fizyczny: Bibliogr. 7 poz., wz.

Twórcy

autor

Siwczyński M.

• Department of Eletrical and Computer Engineering Cracow University of Technology, Kraków, Poland

autor

Drwal A.

• Department of Eletrical and Computer Engineering Cracow University of Technology, Kraków, Poland

autor

Żaba S.

• Department of Eletrical and Computer Engineering Cracow University of Technology, Kraków, Poland

Bibliografia

• [1] Chien-Cheng Tseng, Design of fractional order digital FIR differentiators. Signal Processing Letters, IEEE 8(3): 77-79 (2001).
• [2] Chien-Cheng Tseng, Design of FIR and IIR fractional order Simpson digital integrators. Signal Processing 87(5): 1045-1057 (2007).
• [3] Krishna B., Reddy K., Design of digital differentiators and integrators of order ½. World Journal of Modelling and Simulation 4(3): 182-187 (2008).
• [4] Siwczyński M., Drwal A., Żaba S., The application of the fractional order digital filters of an exponentialtype in analysis of systems with distributed parameters. Electrical Review 88(2): 184-190 (2012).
• [5] Siwczyński M., Drwal A., Żaba S., The fractional order digital filters of an exponential type of thespatial variable in the theory of long line. Electrical Review 88(3a): 139-141 (2012).
• [6] Siwczyński M., Drwal A., Żaba S., The application of the hyperbolic digital filters of an fractionalorder in analysis of wave processes. Electrical Review 88(5a): 218-222 (2012).
• [7] Yang Quan Chen, Blas M. Vinagre, A new IIR-type digital fractional order differentiator. Signal Processing 83(11): 2359-2365 (2003).