stambaughw
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Besides the said faults, I won't consider the posted two transistor circuit as amplitude control loop example, because it misses a rectifier and averaging filter. It's just another case of more or less soft clipping, with respective harmonic distortions.
I'd also emphasize that -40 dBc distortion isn't bad for a LC oscillator without gain control.
How would you implement gain control in a simple transistor oscillator circuit? I'm familiar with AGC using op-amps but I'm not seeing how it could implemented in my sample circuit. I may actually need it. I optimized my circuit to yield a pretty clean oscillator signal. However, any changes in the coil impedance due to disruptions in the coil eddy currents (I am using the coil as an eddy current sensor so this is expected) causes a significant decrease in the amplitude of the oscillator signal. It would be much easier for the any post processing circuitry to deal with an osciallator signal with a constant amplitude.
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Many thanks to everyone who made suggestions. I have a lot of useful information and have already significantly improved my circuit design.