Abstract
It is a custom for the filtering function to be expressed in the frequency domain as a rational function of polynomials of s, the complex frequency variable. Since the natural signals are found in the time domain, the so called Laplace Transform is used to create a representation in the complex frequency domain (from now on: in the s-domain). That allows for the differential equations representing the system to be transformed into algebraic ones and consequently to extract the so called transfer functions which are their s-domain substitute.
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Litovski V, Zwolinski M (1997) VLSI circuit simulation and optimization. Chapman and Hall, London
Linnér PLJ (1973) A note on the time response of multiple-pole transfer function. IEEE Trans Circuit Theory CT 20(5):617
Korn GA, Korn TM (1961) Mathematical handbook for scientists and engineers. McGraw-Hill Book Company Inc, New York
Roy SD (1968) On the transient response of all-pole low-pass filters. IEEE Trans Circuit Theory 15(4):485–488
Raut R, Swamy MNS (2010) Modern analog filters analysis and design, a practical approach. Wiley-VCH Verlag GmbH & Co, KGaA
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Litovski, V. (2019). Transfer Function and Frequency and Time Domain Response. In: Electronic Filters. Lecture Notes in Electrical Engineering, vol 596. Springer, Singapore. https://doi.org/10.1007/978-981-32-9852-1_3
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DOI: https://doi.org/10.1007/978-981-32-9852-1_3
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