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Transient and Frequency Response

Transient and Frequency Response

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This survey of linear dynamic response is the foundation for analysis of active circuits with reactive elements. We will return to the amplifiers in Designing Amplifier Circuits and extend their analyses to the complex-frequency domain using the methods presented here in Designing High-Performance Amplifiers. In practical circuits, the assumption of linearity applies for small-signal amplifiers. The extensive analysis done here of second-order circuits does not readily apply to higher-order circuits, and the formulas for tp, Mp, Mm, and z are not necessarily valid when zeros or additional poles are present.

Chapter Contents:

  • Reactive Circuit Elements
  • First-Order Time-Domain Transient Response
  • Complex Poles and the Complex Frequency Domain
  • Second-Order Time-Domain Response: RLC Circuit
  • Forced Response and Transfer Functions in the s-Domain
  • The Laplace Transform
  • Time-Domain Response to a Unit Step Function
  • Circuit Characterization in the Time Domain
  • The s-Plane Frequency Response of Transfer Functions
  • Graphical Representation of Frequency Response
  • Loci of Quadratic Poles
  • Optimization of Time-Domain and Frequency-Domain Response
  • Reactance Chart Transfer Functions of Passive Circuits
  • Closure

Inspec keywords: amplifiers; active networks

Other keywords: transient response; reactive elements; frequency response; active circuits; linear dynamic response

Subjects: Active filters and other active networks; Amplifiers

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