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  • In the context of the digital filter design, a great deal of research has been done to facilitate their computation. The Pascal matrix defined in [1], [2] has provided its utility in this field. In this paper we summarize the direct transformation from low-pass continuous-time transfer function H(s) to discrete-time H(z) of the bandpass and bandstop transfer functions. This algorithm uses the Pascal matrix and is constructed from the rows of a Pascal triangle. The advantage of this method is that the inverse transformation is obtained with the Pascal matrix without computing the determinant of the system, which simplifies the process to obtain the associated analog transfer function H(s) if the discrete transfer function H(z) is known. Numerical example for matrices P, P1, Q and Q1 illustrate the practical utilization of this technique.
  • In the context of the digital filter design, a great deal of research has been done to facilitate their computation. The Pascal matrix defined in [1], [2] has provided its utility in this field. In this paper we summarize the direct transformation from low-pass continuous-time transfer function H(s) to discrete-time H(z) of the bandpass and bandstop transfer functions. This algorithm uses the Pascal matrix and is constructed from the rows of a Pascal triangle. The advantage of this method is that the inverse transformation is obtained with the Pascal matrix without computing the determinant of the system, which simplifies the process to obtain the associated analog transfer function H(s) if the discrete transfer function H(z) is known. Numerical example for matrices P, P1, Q and Q1 illustrate the practical utilization of this technique. (en)
Title
  • Filters Design by Z Transformation and Pascal Matrix
  • Filters Design by Z Transformation and Pascal Matrix (en)
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  • Filters Design by Z Transformation and Pascal Matrix
  • Filters Design by Z Transformation and Pascal Matrix (en)
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  • RIV/68407700:21230/13:00226786!RIV15-MSM-21230___
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  • 75006
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  • RIV/68407700:21230/13:00226786
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  • Bilinear transformation; Pascal matrix; Digital filters; Transer function (en)
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  • [7B413C0D1AC6]
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  • Banff
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  • MS & SIP 2013 - Modelling and Simulation & Signal and Image Processing
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  • Hospodka, Jiří
  • Pšenička, B.
  • Chávez, A. B.
  • Ugalde, F. G.
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  • 10.2316/P.2013.804-014
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  • Acta Press
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  • 978-0-88986-960-8
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  • 21230
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