Described herein are systems and methods that allow for correcting a residual frequency offset in the GHz frequency range by using low-complexity analog circuit implementations of a broad-band frequency detector that comprises two analog polyphase filters in a dual configuration. Each filter comprises an RC network of cross-coupled capacitors that facilitate filters with opposite passbands and opposite stop-bands. In various embodiments, the outputs of the two filters are combined to obtain power metrics that when subtracted from each other, deliver a measure of the imbalance between the positive and negative halves of a frequency spectrum. Since the measure is substantially proportional to a frequency offset within a linear range spanning 5 GHz or more, the polyphase filters may be used in a broad-band frequency detector that, based on the measure, adjusts the frequency offset.

In an embodiment, an off-grid phase splitter includes: a first input port and a second input port that are separately connected to a power supply; a first output port and a second output port that provide a second voltage, and the second output port and a third output port provide a third voltage; a first capacitor connected between the first output port and the second output port; a second capacitor connected between the second output port and the third output port; a first switch circuit and a second switch circuit connected in series to form a first node between the first input port and the second input port, where the first switch circuit and the second switch circuit are unidirectionally switched on in opposite directions,; and an inductor connected between the first node and the second output port.

A first resistor to a fourth resistor and a first capacitor to a fourth capacitor are connected together in series in a ring shape. A first output terminal to a fourth output terminal are connected to series connection points between the first resistor to the fourth resistor and the first capacitor to the fourth capacitor, a first input terminal is connected to a series connection point between the fourth capacitor and the first resistor, and a second input terminal is connected to a series connection point between the second capacitor and the third resistor. Furthermore, a fifth resistor is connected between a series connection point between the first capacitor and the second resistor and a series connection point between the third capacitor and the fourth resistor.

A radio-frequency switching apparatus that can be used to turn a signal path on or off or to attenuate a radio-frequency signal. The switching apparatus comprises at least one radio-frequency input, at least one radio-frequency output, at least one transmission line providing a signal path between the at least one radio-frequency input and the at least one radio-frequency output, and at least one transition metal oxide portion. The radio-frequency switching apparatus also comprises direct current blocking means electrically coupled between the at least one transition metal portion and the at least one radio-frequency input. The radio-frequency switching apparatus also comprises biasing means for providing a bias across the at least one transition metal oxide portion such that power transferred between the radio-frequency input and the radio-frequency output is controlled by controlling the bias level across the at least one transition metal oxide portion.

A radio-frequency switching apparatus that can be used to turn a signal path on or off or to attenuate a radio-frequency signal. The switching apparatus comprises at least one radio-frequency input, at least one radio-frequency output, at least one transmission line providing a signal path between the at least one radio-frequency input and the at least one radio-frequency output, and at least one transition metal oxide portion. The radio-frequency switching apparatus also comprises direct current blocking means electrically coupled between the at least one transition metal portion and the at least one radio-frequency input. The radio-frequency switching apparatus also comprises biasing means for providing a bias across the at least one transition metal oxide portion such that power transferred between the radio-frequency input and the radio-frequency output is controlled by controlling the bias level across the at least one transition metal oxide portion.

A phase shifter for adjusting a phase shift between an input signal and output signal of the phase shifter includes: a first signal path between the input and the output; a second signal path between the input and the output; and a phase-shifter circuit configured to shift a phase of a first signal of the first signal path and a phase of a second signal of the second signal path by a constant phase angle relative to each other. The first and second signal paths each comprise a voltage-divider circuit connected to its respective signal path and configured to adjust an amplitude of a signal of the respective signal path. The output signal is based on a combination of the first signal and the second signal.

An apparatus which includes a multiphase signal generator circuit. The multiphase signal generator circuit is configured to receive as input a complementary analog signal having a fundamental frequency, and generate a plurality of output complementary analog signals. Each output complementary analog signal comprises the same fundamental frequency as the input complementary analog signal, and wherein each output complementary analog signal comprises a different phase.

A filter circuit includes a polyphase filter used to generate a plurality of output signals with different phases according to a plurality of input signals. The polyphase filter includes a switch circuit and a feed-forward capacitor. The switch circuit has a control terminal used to receive a control voltage, a first connection terminal used to output one of the output signals, and a second connection terminal used to receive one of the input signals. The feed-forward capacitor has a first plate coupled to the second connection terminal of the switch circuit and a second plate coupled to the control terminal of the switch circuit.

According to one embodiment, a transformer-based in-phase and quadrature (IQ) includes a differential balun having a first inductor and a second inductor. The first inductor has a first input terminal and a first output terminal. The second inductor has a second input terminal and a second output terminal. Additionally, the IQ generator circuit includes a third inductor magnetically coupled with the first inductor. The third inductor has a first isolation terminal and a third output terminal. The IQ generator circuit also includes a fourth inductor magnetically coupled with the second inductor. The fourth inductor has a second isolation terminal and a fourth output terminal. The IQ generator circuit additionally includes a first transistor coupled to the first input terminal of the first inductor. Further, the generator circuit includes a second transistor coupled to the second input terminal of the second inductor. The first transistor, the second transistor, the first inductor, and the second inductor form a part of a differential amplifier.

Described herein are systems and methods that allow for correcting a residual frequency offset in the GHz frequency range by using low-complexity analog circuit implementations of a broad-band frequency detector that comprises two analog polyphase filters in a dual configuration. Each filter comprises an RC network of cross-coupled capacitors that facilitate filters with opposite passbands and opposite stop-bands. In various embodiments, the outputs of the two filters are combined to obtain power metrics that when subtracted from each other, deliver a measure of the imbalance between the positive and negative halves of a frequency spectrum. Since the measure is substantially proportional to a frequency offset within a linear range spanning 5 GHz or more, the polyphase filters may be used in a broad-band frequency detector that, based on the measure, adjusts the frequency offset.