The digital function filters – algorithms and applications

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

Abstrakty

EN

The simple digital filters are not sufficient for digital modeling of systems with distributed parameters. It is necessary to apply more complex digital filters. In this work, a set of filters, called the digital function filters, is proposed. It consists of digital filters, which are obtained from causal and stable filters through some function transformation. In this paper, for several basic functions: exponential, logarithm, square root and the real power of input filter, the recursive algorithms of the digital function filters have been determined The digital function filters of exponential type can be obtained from direct recursive formulas. Whereas, the other function filters, such as the logarithm, the square root and the real power, require using the implicit recursive formulas. Some applications of the digital function filters for the analysis and synthesis of systems with lumped and distributed parameters (a long line, phase shifters, infinite ladder circuits) are given as well.

Słowa kluczowe

EN

digital function filters; digital irrational filters; analysis and synthesis irrational filters; recursive algorithms of function filters

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2013
• Tom: Vol. 61, nr 2
• Strony: 371--377
• Opis fizyczny: Bibliogr. 10 poz., rys., wykr.

Twórcy

autor

Siwczyński M.

• Department of Eletrical and Computer Engineering, Cracow University of Technology, 24 Warszawska St., 31-155 Cracow, Poland

autor

Drwal A.

• Department of Eletrical and Computer Engineering, Cracow University of Technology, 24 Warszawska St., 31-155 Cracow, Poland

autor

Żaba S.

• Department of Eletrical and Computer Engineering, Cracow University of Technology, 24 Warszawska St., 31-155 Cracow, Poland

Bibliografia

• [1] R.E. Blahut, Algebraic Methods for Signal Processing andCommunications Coding, Springer, Berlin, 1992.
• [2] C.B. Rorabaugh, Digital Filter Designer’s Handbook, McGraw-Hill, New York, 1993.
• [3] R.G. Lyons, Understanding Digital Signal Processing, Prentice Hall PTR, Upper Saddle River, 2004.
• [4] M. Siwczyński, A. Drwal, and S. Żaba, “L1-impulses method as an alternative method of harmonic components in the power theory of discrete time systems”, Bull. Pol. Ac.: Tech. 60 (1), 111-118 (2012).
• [5] M. Siwczyński, A. Drwal, and S. Żaba, “The application of the fractional order digital filters of an exponential type in analysis of systems with distributed parameters”, ElectrotechnicalReview 2, 184-190 (2012), (in Polish).
• [6] M. Siwczyński, A. Drwal, S. Żaba, “The fractional order digital filters of an exponential type of the spatial variable in the theory of long line”, Electrotechnical Review A 3, 139-141 (2012), (in Polish).
• [7] E. Krajnik, “On time domain deconvolution and the computation of the cepstrum”, Circuits and Systems, ISCAS IEEE Int. Symp. 3, 1908-1911 (1995).
• [8] Ch.-Cheng Tseng, “Design of fractional order digital FIR differentiators”, Signal Processing Letters, IEEE 8 (3), 77-79 (2001).
• [9] Ch.-Cheng Tseng, “Design of FIR and IIR fractional order Simpson digital integrators”, Signal Processing 87 (5), 1045-1057 (2007).
• [10] Y. Quan Chen and M. Blas Vinagre, “A new IIR-type digital fractional order differentiator”, Signal Processing. FractionalSignal Processing and Applications 83 (11), 2359-2365 (2003). Bull.