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Low-frequency double-resonance quartz crystal oscillator was developed with active inductance circuit aiming the start-up of stable oscillation of tuning fork-type quartz crystal resonator at 32.768 kHz within 0.37 ms. The initial oscillation is triggered by a part of crystal oscillator forming a CR oscillator. The negative resistance ranges to 4 MΩ at gmf of 4.1 μA/V. In a limited frequency range, the circuit shows negative reactance Ccci = −3.4 pF equivalent to inductance Lcc = 9.8 H. The Allan standard deviation indicated 10 −11 to 10 −10 , showing high stability comparable to general quartz crystal oscillator.

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