An apparatus includes a digitally controlled oscillator (DCO), which includes an inductor coupled in series with a first capacitor. The DCO further includes a second capacitor coupled in parallel with the series-coupled inductor and first capacitor, a first inverter coupled in parallel with the second capacitor, and a second inverter coupled back-to-back to the first inverter. The DCO further includes a digital-to-analog-converter (DAC) to vary a capacitance of the first capacitor.

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.

An oscillator circuit is provided. The oscillator circuit includes a first oscillator, a second oscillator, and a switch matrix. The first oscillator includes a first transconductance amplifier, a second transconductance amplifier, and a first resonator. The second oscillator includes a third transconductance amplifier, a fourth transconductance amplifier, and a second resonator. The first resonator includes a first capacitor element and a first inductor element. The second resonator includes a second capacitor element and a second inductor element. The first inductor element is coupled to the second inductor element. The switch matrix includes a first switch, a second switch, a third switch, and a fourth switch.

An adiabatic resonator, an adiabatic oscillator, and an adiabatic oscillator system are disclosed. An adiabatic system is one that ideally transfers no heat outside of the system, thereby reducing the required operating power. The adiabatic resonator, which includes a plurality of tank circuits, acts as an energy reservoir, the missing aspect of previously attempted adiabatic computational systems. By using the adiabatic resonator as a feedback element with an amplifier, an adiabatic oscillator is formed. An adiabatic oscillator system is formed with a primary adiabatic oscillator feeding a plurality of secondary adiabatic oscillators. In this manner, the adiabatic oscillator system may be used to generate the multiple clock signals required of adiabatic computational logic elements, such as Split-level Charge Recovery Logic and 2-Level Adiabatic Logic. The adiabatic oscillator system stores enough energy to drive many individual adiabatic computational logic elements, permitting implementation of complex logic circuits.

A resonant tank includes a first capacitor formed on a semiconductor substrate, a first inductor formed on the semiconductor substrate, a second capacitor formed on the semiconductor substrate, and a second inductor formed on the semiconductor substrate. The first capacitor, the first inductor, the second capacitor, and the second inductor are connected in a ring configuration, with each capacitor connected between a pair of the inductors and with each inductor connected between a pair of the capacitors. An amplifier circuit is coupled to the resonant tank and configured to amplify a signal in the resonant tank.

A temperature compensated oscillation circuit includes an oscillation circuit that oscillates a resonator, a fractional N-PLL circuit that multiplies frequency of an oscillation signal which is output by the oscillation circuit, on the basis of a frequency division ratio which is input, a temperature measurement unit that measures temperature, and a storage unit that stores a temperature correction table for correcting frequency temperature characteristics of the oscillation signal, in which the frequency division ratio of the fractional N-PLL circuit is set on the basis of a measurement value obtained by the temperature measurement unit and the temperature correction table.

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.

A system for measuring a sensor having two terminals includes first and second transistors with first and second control signal inputs connected to the sensor terminals. The system further includes a current divider including a reference current input, a current divider control input and first and second current outputs connected to the first and second transistors. First and second load circuits are connected to the first and second transistors at first and second differential output nodes. First and second integrator circuits are connected to the first and second differential output nodes. A comparator is driven by first and second differential output nodes. The comparator output controls a digital filter. A value of the a current divider control signal driving the current divider control input depends at least indirectly from the digital filter output.

An adiabatic resonator, an adiabatic oscillator, and an adiabatic oscillator system are disclosed. An adiabatic system is one that ideally transfers no heat outside of the system, thereby reducing the required operating power. The adiabatic resonator, which includes a plurality of tank circuits, acts as an energy reservoir, the missing aspect of previously attempted adiabatic computational systems. By using the adiabatic resonator as a feedback element with an amplifier, an adiabatic oscillator is formed. An adiabatic oscillator system is formed with a primary adiabatic oscillator feeding a plurality of secondary adiabatic oscillators. In this manner, the adiabatic oscillator system may be used to generate the multiple clock signals required of adiabatic computational logic elements, such as Split-level Charge Recovery Logic and 2-Level Adiabatic Logic. The adiabatic oscillator system stores enough energy to drive many individual adiabatic computational logic elements, permitting implementation of complex logic circuits.

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.