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 language | English (US) |
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Pages (from-to) | 2113-2117 |
Number of pages | 5 |
Journal | ICIC Express Letters, Part B: Applications |
Volume | 6 |
Issue number | 8 |
State | Published - 2012 |
Externally published | Yes |
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