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Transfer Functions and Frequency-Domain Analysis

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Introduction to Circuit Analysis and Design
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Abstract

This chapter describes frequency-domain representations of circuits, focusing on circuits having one input port and one output port, where the input port is driven by a source and the output port drives a load. The essential feature of any such circuit is the relation the circuit establishes between the available current or voltage from the source and the corresponding current or voltage impressed on the load. In the frequency domain, such relations are expressed using transfer functions, which are generalizations of the transfer ratios described in Chapter 6. The definitions and uses of transfer functions are among the most important things electronic circuit and system designers must know.

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Notes

  1. 1.

    Recall that the available source voltage is the open-circuit (Thévenin-equivalent) source voltage and the available source current is the short-circuit (Norton-equivalent) source current. Bear in mind that the available voltage (or current) is not necessarily the voltage across (or current entering) the input terminals of the circuit.

  2. 2.

    As opposed to arising as a model for an existing component or circuit.

  3. 3.

    Although the name seems to imply otherwise, gain is not necessarily greater than unity at any frequency.

  4. 4.

    The threshold of hearing depends upon frequency as well as incident power.

  5. 5.

    After Hendrik Bode (bōdee) (1905–1982), an engineer who showed how to use such plots to determine whether a system is stable and if not, how to make it so. Bode contributed much to our understanding of feedback systems.

  6. 6.

    Gain also could be expressed in terms of peak amplitudes; however, it usually is easier to obtain accurate values for peak-to-peak amplitudes from an oscilloscope display than it is to obtain accurate readings of peak amplitudes – especially if a dc component also is present.

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Correspondence to Tildon H. Glisson Jr. .

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© 2011 Springer Science+Business Media B.V.

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Glisson, T.H. (2011). Transfer Functions and Frequency-Domain Analysis. In: Introduction to Circuit Analysis and Design. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9443-8_15

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  • DOI: https://doi.org/10.1007/978-90-481-9443-8_15

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-9442-1

  • Online ISBN: 978-90-481-9443-8

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