A simple unifying approach of designing the sinusoidal oscillator

Chung Cheng Chen, Ting Li Chien, Ying Chen Chen, Kuan Yu Chou, Yi Hsiang Tseng

Research output: Contribution to journalArticlepeer-review

Abstract

Sinusoidal oscillators are significant devices for many industrial systems. Investigating their performances is therefore crucial. Based on the combinations of circuit analysis, control theory and electronic approach, a necessary and sufficient oscillation criterion for sinusoidal oscillator is explored in this study. By applying the algebraic Routh-Hurwitz criterion to the process of the author's invented simple matrix operations, a simple oscillation predicting algorithm is derived to allow the design of reliable sinusoidal oscillator with a well-defined frequency of oscillation. The proposed oscillation criterion cannot be the constant value of unity shown as traditional Barkhausen criterion, but a range for predicting the existence of oscillatory characteristics. The proposed algorithm is confirmed with the design of famous Colpitts oscillator.

Original languageEnglish (US)
Pages (from-to)2113-2117
Number of pages5
JournalICIC Express Letters, Part B: Applications
Volume6
Issue number8
StatePublished - 2012
Externally publishedYes

Keywords

  • Chen's electric unifying approach
  • Colpitts oscillator
  • L'Hospital's rule Barkhausen criterion
  • Routh-Hurwitz criterion
  • Sinusoidal oscillator

ASJC Scopus subject areas

  • General Computer Science

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