A sensor interface circuit includes: an RF switch having a control node; a bias circuit electrically connected to the control node and applying, to the control node, a voltage at a first level or a second level corresponding to a linear region of a reflection characteristic; a first variable oscillation circuit electrically connectable to a first sensor; a second variable oscillation circuit electrically connectable to a second sensor; and a difference circuit electrically connected between the first variable oscillation circuit and the bias circuit, and between the second variable oscillation circuit and the bias circuit.

A variable capacitor circuit includes a capacitor block including a first varactor element comprising a first transistor having a first size, a second varactor element comprising a second transistor having a second size different from the first size, a first terminal commonly connected to a source and a drain of the first transistor, a second terminal commonly connected to a source and a drain of the second transistor, and an RC circuit connected to a gate of the first transistor and a gate of the second transistor.

VLSI distributed LC resonant clock networks having reduced inductor dimensions as well as simplified decoupling capacitances that are obtained by including one or more compensation capacitors. A compensation capacitor can be added in parallel with a clock capacitance and/or in parallel with a clock inductor. The presence of a compensation capacitance reduces the overhead associated with the inductor and the decoupling capacitor. The compensation capacitor (s) can be selectively switched into the network to create scalable resonant frequencies.

A voltage controlled oscillator (VCO) includes: a pair of inductors coupled in series; a first pair of varactors coupled in series, and a second pair of varactors coupled in series. A first common mode node is between the respective varactors of the first pair of varactors and a second common mode node is between the respective varactors of the second pair of varactors. A supply voltage node is switchably coupled to the first common mode node through a first switch, the supply voltage node being a node located between the pair of inductors. A control voltage node (V.sub.c) is switchably coupled to the second common mode node through a second switch.

A varactor is described that may be constructed in CMOS and has a high tuning range. In some embodiments, the varactor includes a well, a plurality of gates formed over the well and having a capacitive connection to the well, the gates comprising a first subset of the gates that are adjacent and consecutive and coupled to a positive pole of an excitation oscillation signal, and a second subset of the gates that are adjacent and consecutive and coupled to a negative pole of the excitation oscillation signal, and a plurality of source/drain terminals formed over the well and having an ohmic connection to the well, each coupled to a respective gate to receive a control voltage to control the capacitance of the varactor.

A varactor is described that may be constructed in CMOS and has a high tuning range. In some embodiments, the varactor includes a well, a plurality of gates formed over the well and having a capacitive connection to the well, the gates comprising a first subset of the gates that are adjacent and consecutive and coupled to a positive pole of an excitation oscillation signal, and a second subset of the gates that are adjacent and consecutive and coupled to a negative pole of the excitation oscillation signal, and a plurality of source/drain terminals formed over the well and having an ohmic connection to the well, each coupled to a respective gate to receive a control voltage to control the capacitance of the varactor.

An oscillator circuit includes an oscillating circuit coupled to a vibrator, and a control circuit that controls the oscillating circuit. The oscillator circuit has a normal operation mode in which the oscillating circuit oscillates in a state where a negative resistance value is a first value, and a start mode in which the oscillator circuit shifts from a state where oscillation is stopped to the normal operation mode. In the start mode, the control circuit controls the negative resistance value to increase from a second value which is smaller than the first value.

A voltage-controlled oscillator comprises a varactor. A capacitance of the first varactor is dependent upon a control voltage. The voltage-controlled also comprises an inductor. The inductor is connected to a center-tap connection. The voltage-controlled oscillator also comprises a power source. The power source is configured to provide a bias voltage to the inductor through the center-tap connection. The voltage-controlled oscillator also comprises a coupling capacitor. The coupling capacitor is located between the inductor and the varactor. The voltage-controlled oscillator also comprises a coupling resistor. The coupling resistor is located between the coupling capacitor and the center-tap connection. The center-tap connection provides the bias voltage to the coupling capacitor through the coupling resistor.

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.

A voltage controlled oscillator includes a resonator and an amplifier. The resonator includes a capacitive element and an inductive element. The inductive element has a plurality of conductive segments forming a physical loop. The inductive element has electrical connections on the physical loop to the plurality of conductive segments forming at least one electrical loop disposed within an interior space formed by the physical loop. The amplifier has an input and an output, the input coupled to a first conductive segment forming a first impedance and the output coupled to a second conductive segment forming a second impedance.