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- W4313307727 abstract "The paper presents an effective procedure for the discretization of linear continuous-time systems applied to Infinite Impulse Response (IIR) filters. Unlike conventional techniques which use some established rational s-to-z mapping functions (such as Tustin approximation etc.), in the proposed two-staged discretization method, the fundamental, non-rational mapping of the continuous to discrete domain s=ln(z)/T (with adequate sampling time <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$T$</tex> ), is substituted to the IIR filter transfer function. The Pade approximation is then directly applied to the obtained overall non-rational discrete-time transfer function. Besides, the Pade approximation may be applied partially to factored parts of the transfer function, also including a combination of the proposed with existing classical discretization schemes. As a result, amplitude and phase-frequency characteristics of the digital model are preserved with high accuracy in a wide frequency range relative to the original continuous-time system. The presented approach is compared with conventional discretization schemes (Tustin approximation, step-invariant discretization and l/sn to <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$z$</tex> transform) via illustrative examples considering Butterworth, Bessel, Chebyshev Type I, and elliptic filters." @default.
- W4313307727 created "2023-01-06" @default.
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- W4313307727 date "2022-11-16" @default.
- W4313307727 modified "2023-10-05" @default.
- W4313307727 title "A New Method for Discretization of Continuous-time Systems Using the Pade Approximation Applied to IIR Filters" @default.
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- W4313307727 doi "https://doi.org/10.1109/iceccme55909.2022.9988194" @default.
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