Provided is a circuit that eliminates harmonics generated in a synchronous detection circuit to achieve low vibration and low noise, along with a position detection device, a magnetic bearing device, and a vacuum pump. An odd-order harmonic of a sensor carrier frequency can be eliminated from a displacement signal by setting a duty of a switch of the synchronous detection circuit to a specified value. Conditions for a pulse generation method are adjusted to generate a pulse at a phase angle of 180 degrees + 360 degrees x n. A duty of a pulse for a synchronous detection switch is set such that a positive-side area and a negative-side area of a harmonic waveform are equal to each other. Moreover, the pulse duty is adjusted to center the phase angle at which a sensor signal has a highest sensitivity.

An oscillator includes a forward stage including first and second terminals and a transformer-coupled band-pass filter (BPF) coupled between the first and second terminals and including a coupling device between the first and second terminals, and a transformer including first and second windings in a metal layer of an IC. The first winding includes a first conductive structure coupled to the first terminal and a second conductive structure coupled to a voltage node, a third conductive structure including first and second extending portions connected to the first and second conductive structures. The second winding includes a fourth conductive structure including a third extending portion coupled to the voltage node, and a fourth extending portion coupled to the second terminal. The third extending portion is between the second conductive structure and the first extending portion, and the fourth extending portion is between the first conductive structure and the second extending portion.

An oscillator includes a forward stage including first and second terminals and a transformer-coupled band-pass filter (BPF) coupled between the first and second terminals and including a coupling device between the first and second terminals, and a transformer including first and second windings in a metal layer of an IC. The first winding includes a first conductive structure coupled to the first terminal and a second conductive structure coupled to a voltage node, a third conductive structure including first and second extending portions connected to the first and second conductive structures. The second winding includes a fourth conductive structure including a third extending portion coupled to the voltage node, and a fourth extending portion coupled to the second terminal. The third extending portion is between the second conductive structure and the first extending portion, and the fourth extending portion is between the first conductive structure and the second extending portion.

A signal generator with direct digital synthesis and tacking filter to generate an oscillator signal. A digital signal generator generates a digital signal; a digital to analog converter is connected to an output of the digital signal generator and converts the digital signal to an analog signal; a filter is coupled to an output of the DAC and filters the analog signal and generates the oscillator signal; a comparator is coupled to an output of the filter and generates a signal indicating zero crossings of the filter output signal; a digital control unit is coupled to outputs of the digital signal generator and comparator and generates a control signal to tune the filter to track a center frequency of the generated oscillator signal. The control signal is generated based on adjacent samples values from the digital signal generator before and after zero crossings of the filter output signal.

An oscillator has a feedback loop with a signal output, a multi-pole resonator, and a gain block. The gain block applies a gain sufficient to generate a stable oscillation signal at the signal output; and the multi-pole resonator is tunable between two or more resonance modes.

A band-pass filter (BPF) includes first and second windings. The first winding includes first and second terminals, a first outer extending portion extending from the first terminal, a second outer extending portion extending from the second terminal, and a first conductive structure configured to electrically connect the first and second outer extending portions to each other at a location opposite the first and second terminals. The second winding includes third and fourth terminals positioned between the first and second terminals, and a second conductive structure electrically connected to the third and fourth terminals and extending between the first conductive structure and each of the first and second outer extending portions.

A band-pass filter (BPF) includes first and second windings. The first winding includes first and second terminals, a first outer extending portion extending from the first terminal, a second outer extending portion extending from the second terminal, and a first conductive structure configured to electrically connect the first and second outer extending portions to each other at a location opposite the first and second terminals. The second winding includes third and fourth terminals positioned between the first and second terminals, and a second conductive structure electrically connected to the third and fourth terminals and extending between the first conductive structure and each of the first and second outer extending portions.

An oscillator includes a forward stage including first and second terminals and a transformer-coupled band-pass filter (BPF) coupled between the first and second terminals and including a coupling device between the first and second terminals, and a transformer including first and second windings in a metal layer of an IC. The first winding includes a first conductive structure coupled to the first terminal and a second conductive structure coupled to a voltage node, a third conductive structure including first and second extending portions connected to the first and second conductive structures. The second winding includes a fourth conductive structure including a third extending portion coupled to the voltage node, and a fourth extending portion coupled to the second terminal. The third extending portion is between the second conductive structure and the first extending portion, and the fourth extending portion is between the first conductive structure and the second extending portion.

An oscillator includes a forward stage including first and second terminals and a transformer-coupled band-pass filter (BPF) coupled between the first and second terminals and including a coupling device between the first and second terminals, and a transformer including first and second windings in a metal layer of an IC. The first winding includes a first conductive structure coupled to the first terminal and a second conductive structure coupled to a voltage node, a third conductive structure including first and second extending portions connected to the first and second conductive structures. The second winding includes a fourth conductive structure including a third extending portion coupled to the voltage node, and a fourth extending portion coupled to the second terminal. The third extending portion is between the second conductive structure and the first extending portion, and the fourth extending portion is between the first conductive structure and the second extending portion.

A differential oscillator includes a differential circuit and a transformer-coupled band-pass filter (BPF) coupled between first and second output nodes. The BPF includes a coupling device coupled between the output nodes and a transformer including first and second windings in a metal layer of an IC. The first winding includes first and second conductive structures coupled to the first output node and a voltage node, respectively, and a third conductive structure including first and second extending portions connected to the first and second conductive structures, respectively. The second winding includes a fourth conductive structure including a third extending portion coupled to the voltage node and a fourth extending portion coupled to the second output node. The third extending portion is between the second conductive structure and the first extending portion, and the fourth extending portion is between the first conductive structure and the second extending portion.