A nonlinear transient analysis of regenerative frequency dividers

Kaushik Sengupta, T. K. Bhattacharyya, Hossein Hashemi

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


This paper introduces a nonlinear analysis of tuned regenerative dividers that explores into the transient behavior of the system. Broadly, two such divider implementations have been dealt with, tuned regenerative dividers and injection locked dividers. A detailed nonlinear analysis based on the application of Stroboscopic concept and the first-order perturbation method is used to derive closed-form expressions for start-up condition, output amplitude, maximum operating bandwidth, and frequency spectrum when regenerative dividers go out of ldquolockingrdquo range. Based on the developed theory, design guidelines for high frequency regenerative dividers have been charted out. The results are verified through extensive numerical and SpectreRF simulations of several gigahertz dividers in 0.18- CMOS technology.

Original languageEnglish (US)
Pages (from-to)2646-2660
Number of pages15
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Issue number12
StatePublished - 2007
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering
  • Hardware and Architecture


  • Analog circuits
  • Divider circuits
  • Frequency synthesizers
  • Nonlinear circuits
  • Nonlinear network analysis
  • Nonlinear oscillators


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