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Limits of passive and active negative group delay distributed circuits

Limits of passive and active negative group delay distributed circuits

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The chapter examines the negative group delay (NGD) limits of active and passive distributed element transmission line circuits. The first section illustrates NGD characteristic examples in both frequency and time domains, and pertinent figure of merits and trade-offs which can be used to evaluate performance of different NGD devices. The relationship between the time-domain transients and out-of-band gain will be analyzed and discussed in the context of modulated signals. The second section introduces resonator-based circuit NGD topologies and shows how active elements are employed for gain compensation. In the third section, the asymptotic limits of these circuits are then derived while considering issues of gain, bandwidth, in-band distortion, and out-of-band gain. The final section will extend the theory to NGD phenomena in general linear causal media, derived from Kramers-Kronig relations. Experimental results of fabricated designs demonstrating the concepts will be put forward throughout the chapter.

Chapter Contents:

  • Abstract
  • Keywords
  • 8.1 Introduction
  • 8.1.1 Frequency-domain analysis
  • 8.1.2 Time-domain manifestation of an NGD transfer function
  • 8.1.3 NGD metrics and trade-offs
  • 8.1.3.1 NGD figure of merit for media with same out-of-band gains, but different NGD
  • 8.1.3.2 NGD figure of merit for media with same NGD values, but different out-of-band gains
  • 8.2 Single-stage resonator-based NGD circuit topologies
  • 8.2.1 Unmatched parallel RLC resonator circuit
  • 8.2.2 Unmatched series RLC resonator circuit
  • 8.2.3 Resistive-matched RLC resonator circuit
  • 8.2.4 Gain-compensated RLC resonator circuit
  • 8.2.5 Baseband RC and RL high-pass circuits
  • 8.3 NGD distributed circuits and limits
  • 8.3.1 Nonbuffered cascaded NGD stages
  • 8.3.2 Buffered cascaded NGD stages and limits
  • 8.3.3 Transfer function of infinitely distributed NGD design
  • 8.3.4 Examples of 1 and 2-stage NGD circuits
  • 8.3.5 Multistage baseband NGD circuits
  • 8.4 Kramers–Kronig engineered NGD medium
  • 8.4.1 Frequency-reciprocal decay of the phase response
  • 8.4.2 Asymptotic limit verification with physical media
  • 8.5 Conclusion
  • References

Inspec keywords: frequency-domain analysis; Kramers-Kronig relations; network topology; delay circuits; resonators; passive networks; time-domain analysis; transmission lines; active networks

Other keywords: passive negative group delay distributed circuits; modulated signals; negative group delay limits; active elements; active negative group delay distributed circuits; in-band distortion; time domains; linear causal media; gain compensation; out-of-band gain; different NGD devices; passive distributed element transmission line circuits; active distributed element transmission line circuits; Kramers-Kronig relations; NGD phenomena; time-domain transients; frequency domains; resonator-based circuit NGD topology; NGD characteristic examples

Subjects: Network topology; Active filters and other active networks; Pulse circuits; Passive filters and other passive networks; Mathematical analysis; Other analogue circuits

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