Systems and methods are provided for hopping a digitally controlled oscillator (DCO) among a plurality of channels, wherein a gain of the DCO K.sub.DCO is a nonlinear function of frequency. A first normalized tuning word (NTW) corresponding to a first channel of the plurality of channels is generated. A first normalizing gain multiplier X is generated based on the nonlinear function of frequency, on an estimate of the nonlinear function of frequency, at a first frequency corresponding to the first channel. The first NTW is multiplied by the first X to obtain a first oscillator tuning word (OTW). The first OTW is input to the DCO to cause the DCO to hop to the first channel. A system for hopping among a plurality of channels at a plurality of respective frequencies comprises a phase-locked loop (PLL), a digitally controlled oscillator (DCO), a multiplexer, and an arithmetic module.

Electronic devices, local oscillator circuits, and methods for operating local oscillators are disclosed herein. In one embodiment, a local oscillator circuit includes a first transistor and a second transistor individually having a base, a collector, and an emitter and a transformer having a first transformer inductor magnetically coupled to a second transformer inductor. The first transformer inductor couples the collector of the first transistor to the base of the second transistor. The second transformer inductor couples the collector of the second transistor to the base of the first transistor.

Embodiments of the present disclosure may provide a circuit comprising a tank circuit. The tank circuit may include an inductor having a pair of terminals, a first pair of transistors, and a first pair of capacitors. Each transistor may be coupled between a respective terminal of the inductor and a reference voltage along a source-to-drain path of the transistor. Each capacitor may be provided in a signal path between an inductor terminal coupled to a respective first transistor in the first pair and a gate of a second transistor in the first pair.

A semiconductor device and a communication circuit capable of reducing the effect of a noise generated in an inductor are provided. A semiconductor device according to an embodiment includes a substrate, a first circuit disposed in a first area of the substrate, a second circuit disposed in a second area of the substrate, the second circuit being configured to operate selectively with the first circuit, a first inductor disposed in the second area and connected to the first circuit, and a second inductor disposed in the first area and connected to the second circuit.

Systems and methods are provided for hopping a digitally controlled oscillator (DCO) among a plurality of channels, wherein a gain of the DCO K.sub.DCO is a nonlinear function of frequency. A first normalized tuning word (NTW) corresponding to a first channel of the plurality of channels is generated. A first normalizing gain multiplier X is generated based on the nonlinear function of frequency, on an estimate of the nonlinear function of frequency, at a first frequency corresponding to the first channel. The first NTW is multiplied by the first X to obtain a first oscillator tuning word (OTW). The first OTW is input to the DCO to cause the DCO to hop to the first channel. A system for hopping among a plurality of channels at a plurality of respective frequencies comprises a phase-locked loop (PLL), a digitally controlled oscillator (DCO), a multiplexer, and an arithmetic module.

A voltage controlled oscillator includes a variable capacitance circuit having a plurality of variable capacitance elements, each having a capacitance that is a function of a tuning voltage, two or more oscillator core circuits, each operable over a specified frequency band, and inductive elements connected between the variable capacitance circuit and the oscillator core circuits.

A dual-mode oscillator and a multi-phase oscillator includes a mode switching circuit to switch between two operating modes and obtain oscillation signals having two different bands. The dual-mode oscillator also includes two transformer-coupled oscillators and a step-up transformer in the transformer-coupled oscillators where the step-up transformer multiplies a drain voltage swing of a first MOS transistor and then injects a voltage signal to a gate of a second MOS transistor to obtain a larger gate voltage swing without increasing a supply voltage of the oscillator. The dual-mode oscillators are connected through multi-phase coupled circuits to form a Mobius loop.

Methods and systems for a distributed transmission line multiplexer for a multi-core multi-mode voltage-controlled oscillator (VCO) may comprise a plurality of voltage controlled oscillators (VCOs) arranged adjacent to each other, where each of the plurality of VCOs are operable to generate an output signal at a configurable frequency, an impedance matching circuit comprising a respective driver and impedance matching elements coupled to each of the plurality of VCOs, and an output device coupled to the impedance matching circuit. The impedance matching elements may include capacitors and inductors. Between each adjacent pair of the respective drivers coupled to each of the plurality of VCOs, the impedance matching elements may include two inductors coupled in series between the drivers and a capacitor coupled to ground and to a common node between the two inductors. Impedance values of the capacitors and inductors may be configurable. The impedance matching elements may include a resistor coupled to a bias voltage VDD and to a common node with a capacitor that is coupled to ground, where the common node is coupled to one of the inductors. The output device may include a prescaler that is an integer or fractional frequency-N divider, or a buffer. The respective drivers coupled to each of the plurality of VCOs may be configured to provide a constant output power no matter which of said plurality of VCOs is enabled.

Electronic devices, local oscillator circuits, and methods for operating local oscillators are disclosed herein. In one embodiment, a local oscillator circuit includes a first transistor and a second transistor individually having a base, a collector, and an emitter and a transformer having a first transformer inductor magnetically coupled to a second transformer inductor. The first transformer inductor couples the collector of the first transistor to the base of the second transistor. The second transformer inductor couples the collector of the second transistor to the base of the first transistor.

Methods and systems for a distributed transmission line multiplexer for a multi-core multi-mode voltage-controlled oscillator (VCO) may comprise a plurality of voltage controlled oscillators (VCOs) arranged adjacent to each other, where each of the plurality of VCOs are operable to generate an output signal at a configurable frequency, an impedance matching circuit comprising a respective driver and impedance matching elements coupled to each of the plurality of VCOs, and an output device coupled to the impedance matching circuit. The impedance matching elements may include capacitors and inductors. Between each adjacent pair of the respective drivers coupled to each of the plurality of VCOs, the impedance matching elements may include two inductors coupled in series between the drivers and a capacitor coupled to ground and to a common node between the two inductors. Impedance values of the capacitors and inductors may be configurable. The impedance matching elements may include a resistor coupled to a bias voltage VDD and to a common node with a capacitor that is coupled to ground, where the common node is coupled to one of the inductors. The output device may include a prescaler that is an integer or fractional frequency-N divider, or a buffer. The respective drivers coupled to each of the plurality of VCOs may be configured to provide a constant output power no matter which of said plurality of VCOs is enabled.