Electronic – Modulating frequency of a crystal oscillator circuit

bjtcrystalfrequencyModulationRF

I have built this simple Crystal Oscillator circuit operating at 30Mhz and it's working fine. Please ignore the values of the equivalent circuit of the Crystal i.e ESR, EPC, ESC, ESI.
I am using this circuit with an antenna at node 4 (emitter) to produce em waves which I hear as silence when I tune to 90MHz (3rd Harmonic of 30MHz)

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What simple design should I use to modulate the frequency of the Oscillations? For example using a varactor diode.
How to boost the third harmonic of the oscillations? The various circuits that I saw on the internet to do so use Inductors. Is it possible without an Inductor and a variable capacitor? I have also read this. Since inductors in 0.1uH (to get the 30Mhz resonant frequency) or less range are difficult to get if I build one on my own will it work because it's not possible to get the exact value of the inductor, So will it work even if there is a slight deviation in the inductor?
Please suggest any other modifications to improve the circuit.

Best Answer

The term for what you're looking for is probably a VCXO. These exist in commercial forms, but one common arrangement is to use a variable capacitance in parallel with the crystal as follows:

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In practice, varicaps can be used; they are a diode, constructed to have a capacitance that varies with the DC bias across it. One realization described in this source uses a pair, back-to-back, to create a capacitance that varies with an applied control voltage:

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You should be able to use an off-the-shelf through-hole varicap; in a pinch, a MOSFET with source tied to drain can act as a variable capacitance between the gate and source+drain terminals:

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There is a downside to this design however -- the additional capacitance reduces the quality-factor of the oscillator, and may introduce extra phase noise. The frequency deviation is also limited by how far the crystal itself can be pulled from its natural frequency. Instead, you may want to consider a non-crystal VCO which generates a low or intermediate frequency, and a mixer that upconverts this to your desired carrier frequency (your crystal oscillator would be the local oscillator for this arrangement).