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An important note regarding the waveform cycle unity gain requirement under steady state. An ideal oscillator eventually settles to a sinusoid with constant amplitude or:
Vo = V*{Exp(alpha*t)}Sin(omega*t), where alpha is identically zero under steady state and negative under waveform decay and positive under waveform expanding.
(Need to figure out how to enter proper equations like others use, MathJax or other method!!)
This forum supports MathJax, with formulas delimited by backslash dollar at both the beginning and the end of a formula (for inline formulas), i.e. \$ V_o = Ve^{\alpha t}\sin(\omega t) \$ or backslash open-square-bracket at the beginning and backslash close-square-brackets at the end for formulas centered on a new line: \[ V_o = Ve^{\alpha t}\sin(\omega t) \] where t is time ...
There is a small thread with examples of posting math on EEVblog:
https://www.eevblog.com/forum/beginners/how-does-posting-math-notation-work/msg3994178/#msg3994178The drawback is that MatJax formulas are not rendered at preview, they only show as formulas after posting, which makes editing a pain. There are online MatJax editors that can live-render formulas, then copy paste from there to here. There is a trick I've found working to preview MathJax in EEVblog, formulas are rendered when pressing preview from a locally saved reply webpage, like this:
- press the reply button on EEVblog, so to start editing a new reply
- save the reply webpage locally (i.e. with save as from the Firefox web browser file menu)
- open with Firefox the locally saved EEVblog reply page
- type the matjax in the offline saved reply page
- press preview to see the formula rendered
- important - to further edit or to copy the formula, press "Back" page in the browser, to go back to the offline reply page, then preview again and so on. The formula is only rendered when pressing preview from a locally saved webpage.
Once a formula edited one way or another, copy/paste it in the "live" reply webpage. Cumbersome and time consuming.
Did some experiments with the Peltz oscillator this weekend, both in simulation and in practice (for the fun of it, mostly out of curiosity, because I was not aware about this type of oscillator before, thank you for bringing it).
As everybody know, "
a rainy Sunday afternoon" is best suitable to improve distortions in existing oscillator designs, and yesterday it was a rainy Sunday afternoon. So I took advantage of that, and reduced even further the distortions for the Peltz oscillator by inventing the
Peltz-Wyatt oscillator
, if I may call it so. It's a
Peltz oscillator with a
Wyatt current source instead of the resistor, signal much cleaner now.