A circuit includes an oscillator having a driver and a resonator. The driver receives a supply voltage at a supply input and provides a drive output to drive the resonator to generate an oscillator output signal. A power converter receives an input voltage and generates the supply voltage to the supply input of the driver. A temperature tracking device in the power converter controls the voltage level of the supply voltage to the supply input of the driver based on temperature such that the supply voltage varies inversely to the temperature of the circuit.

A capacitor bank has a capacitance value that is discontinuous and has an extremely narrow variable range. Thus, in a case of obtaining a wide variable range of the capacitance value, a large number of capacitors are connected in parallel and used while being switched by switches. The present technology achieves at least one of: allowing the capacitance value of a variable capacitance circuit to be varied continuously by electrical control without increasing the parasitic capacitance; and decreasing the current consumption of an oscillator circuit using the variable capacitance circuit as compared to a conventional case. The variable capacitance circuit includes: a transconductance circuit that includes a MOS transistor; an inductor that is connected in parallel to the transconductance circuit; and a Gm control circuit that varies a transconductance of the MOS transistor.

A capacitor bank has a capacitance value that is discontinuous and has an extremely narrow variable range. Thus, in a case of obtaining a wide variable range of the capacitance value, a large number of capacitors are connected in parallel and used while being switched by switches. The present technology achieves at least one of: allowing the capacitance value of a variable capacitance circuit to be varied continuously by electrical control without increasing the parasitic capacitance; and decreasing the current consumption of an oscillator circuit using the variable capacitance circuit as compared to a conventional case. The variable capacitance circuit includes: a transconductance circuit that includes a MOS transistor; an inductor that is connected in parallel to the transconductance circuit; and a Gm control circuit that varies a transconductance of the MOS transistor.

In described examples, a first die includes a primary LC tank oscillator having a natural frequency of oscillation to induce a forced oscillation in a secondary LC tank oscillator of a separate second die via a magnetic coupling between the primary LC tank oscillator and the secondary LC tank oscillator.

In described examples, a first die includes a primary LC tank oscillator having a natural frequency of oscillation to induce a forced oscillation in a secondary LC tank oscillator of a separate second die via a magnetic coupling between the primary LC tank oscillator and the secondary LC tank oscillator.

A two-wire displacement sensor device includes an LC oscillation circuit including a coil whose inductance changes in accordance with a displacement amount of an object and an oscillation unit provided with capacitors and amplifying elements; and an interface unit serving as a signal output unit and a power supply input unit. The interface unit includes a constant current circuit that outputs at least two current values.

A two-wire displacement sensor device includes an LC oscillation circuit including a coil whose inductance changes in accordance with a displacement amount of an object and an oscillation unit provided with capacitors and amplifying elements; and an interface unit serving as a signal output unit and a power supply input unit. The interface unit includes a constant current circuit that outputs at least two current values.

A method of controlling a frequency-modulated oscillator 110 of a phase-locked loop circuit 100 is described, wherein the oscillator 110 comprises a bank of capacitors 413. The method comprises the steps of (i) switching a capacitor 414 of the bank of capacitors 413 to change an output frequency 1050 of an output signal 112 of the oscillator 110 from a first frequency 1051 to a second frequency 1052, (ii) determining a frequency information associated with the capacitor 414 and based on at least one of the first frequency 1051 and the second frequency 1052; and (iii) writing the frequency information to a look-up table 224, 225, 226 stored in a control unit 120 of the oscillator 110. A corresponding frequency-modulated oscillator 110 and phase-locked loop circuit 100 are also described.

A method of controlling a frequency-modulated oscillator 110 of a phase-locked loop circuit 100 is described, wherein the oscillator 110 comprises a bank of capacitors 413. The method comprises the steps of (i) switching a capacitor 414 of the bank of capacitors 413 to change an output frequency 1050 of an output signal 112 of the oscillator 110 from a first frequency 1051 to a second frequency 1052, (ii) determining a frequency information associated with the capacitor 414 and based on at least one of the first frequency 1051 and the second frequency 1052; and (iii) writing the frequency information to a look-up table 224, 225, 226 stored in a control unit 120 of the oscillator 110. A corresponding frequency-modulated oscillator 110 and phase-locked loop circuit 100 are also described.

Disclosed herein is an exceptional points of degeneracy (EPD) system with a resonator by introducing a linear time-periodic variation. In contrast, prior art systems with EPD require two coupled resonators with precise values of gain and loss and a precise symmetry of inductances and capacitances. The disclosed EPD system only requires the tuning of the modulation frequency or modulation depth, which can be easily achieved in electronic systems. The EPD is a point in a system parameters' space at which two or more eigenstates coalesce, and this leads to unique properties not occurring at other non-degenerate operating points. Also disclosed are experimental data showing the existence of a second order EPD in a time-varying single resonator and the expected sensitivity of its resonances to circuit perturbations. The disclosed EPD system exhibits structural degenerate and non-degenerate resonances whose dynamics dramatically boosts its sensitivity performance to very small perturbations. The unique sensitivity induced by an EPD can be employed to create exceptionally-sensitive sensors based on a resonator by simply applying time modulation.