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As for the article, Fig. 13 is vastly oversimplified. It is more like a conceptual flowchart. It does not show all the components.
Fig. 14 is described as a Colpitts oscillator. It is possible to adjust values so that the LC tank loop is swinging at a greater amplitude than the supply V. This must be a key factor which allowed the author to obtain a 2nd harmonic which was stronger than the supply V.
fig 13 is of course conceptual. I was talking about the setup in fig.14 which is stated to be a practical implementation. But it just shows an R and C in series.
The gain of NE602 is ~15dB, and will be the gain on the input signal level. The system described does NOT work by using a 2nd harmonic. There would be no 2nd harmonic in the applied signal since it is crystal derived. Instead it talks of mixing a freq F with itself, shifted by 90 deg. Result - components are at 2xF and (F - F =) 0 or DC.
What I want to know is how to design the phase-shift RC network @52Mhz which doesn't load the oscillator tank etc etc.