A method of demodulating a MEMS sensor pickoff signal from a vibrating resonator of said sensor, the method comprising: sampling the pickoff signal with an asynchronous ADC at a sampling rate of at least 50 times the resonant frequency of the resonator to generate a stream of samples; generating a first value by combining samples from said stream of samples according to a selected operation, said operation being selected in dependence on a synchronous clock signal that is synchronous to the resonant frequency of the resonator, said synchronous clock signal having a frequency at least twice the resonant frequency of the resonator; and counting the number of samples contributing to the first value. The increased sampling rate of the pickoff signal allows a much higher number of samples to be taken into account, thereby reducing noise. However, the ADC asynchronously from the resonator of the MEMS sensor.

An apparatus and method for in-phase/quadrature (I/Q) imbalance correction in a transceiver. The apparatus includes an I/Q imbalance correction circuit and a correction coefficient generation circuit. The I/Q imbalance correction circuit is configured to modify I/Q data in a frequency domain using correction coefficients to generate corrected I/Q data. The correction coefficient generation circuit is configured to generate the correction coefficients for the I/Q imbalance correction circuit based on the I/Q data and reference data.

A method and apparatus for input matching of a passive mixer are disclosed. The passive mixer includes a differential transistor pair including a first transistor and a second transistor, a first inductor having one end connected to the first transistor and another end connected to a ground, a second inductor having one end connected to the second transistor and another end connected to a ground, and a third inductor having one end for receiving a radio frequency (RF) signal and another end connected to a ground.

A mixer includes: a VGA (12) configured to amplify one of divided two portions of an input signal at a gain of cos θ; a VGA (13) configured to amplify another one of the divided two portions of the input signal at a gain of sin θ; an IQ generator (15) configured to input an LO wave, and output an LO wave in phase with the input LO wave and an LO wave having a phase difference of 90° with respect to the input LO wave; a mixer (16) configured to input the signal output from the VGA (12) and the LO wave which is output from the IQ generator (15), to output an RF signal; a second mixer (17) configured to input the signal from the VGA (13) and the LO wave which is output from the IQ generator, to output an RF signal; and a combiner (18).

A method of optimizing at least one IQMC parameter value for an IQMC includes: generating a set of tested IQMC candidate parameter values by performing an iterative method including selecting a first IQMC candidate parameter value for the at least one parameter of the IQMC; determining, using the first IQMC candidate parameter value, a performance metric value that comprises at least one of (i) an image rejection ratio (IRR) value, (ii) a signal-to-interference-plus-noise ratio (SINR) value, or (iii) a signal-to-image ratio (SImR) value; and determining a second IQMC candidate parameter value that is an update to the first IQMC candidate parameter value. The method of optimizing at least one IQMC parameter value for an IQMC further includes determining an IQMC candidate parameter value of the set of tested IQMC candidate parameter values that optimizes the performance metric.

A receiver or transmitter circuit includes a signal propagation path between a radio-frequency (RF) signal node and a baseband processing circuit. Variable gain circuitry is configured to vary a gain applied to a signal propagating between the RF signal node and the baseband processing circuit. The variable gain circuitry varies the gain via first, coarse steps as well as via second, fine steps. This facilitates fine matching of the gains experienced by signals propagating over the in-phase and the quadrature branches in the transmitter and/or receiver circuit.

Aspects of this disclosure relate to a very low intermediate frequency (VLIF) receiver with multi-decade contiguous radio frequency (RF) band coverage. Non-quadrature local oscillator (LO) signals drive mixers. The non-quadrature signals can be generated from low noise digital dividers having non-traditional division ratios. The non-traditional division ratios can be prime number ratios such as 5 and 7. The systematic non-quadrature nature of the LO/mixer can be subsequently corrected by a deterministic I-Q coupling network prior to complex signal processing.

A method for providing IQ mismatch (IQMM) compensation includes: estimating an overall frequency response of a compensation filter by stepping through a frequency range starting at an initial frequency and performing (1) through (3) at each step, a selected frequency at each step being a multiple of a subcarrier frequency of the initial frequency: (1) sending a single tone signal at the selected frequency, (2) determining a first response of a mismatched signal at the selected frequency and a second response of the mismatched signal at an image frequency of the selected frequency, and (3) estimating a frequency response of the compensation filter at the selected frequency based on the first response and the second response; generating time-domain filter taps based on the estimated overall frequency response of the compensation filter; determining a time delay based on the time-domain filter taps; and generating a compensated signal based on the time delay.

A detector circuit includes: a squaring circuit configured to receive an output of a power amplifier of a radio transmitter and to produce an output current, the output of the power amplifier including: a desired tone; a local oscillator leakage tone; and an image tone, and the output current of the squaring circuit including: a direct current (DC) component including a function of the desired tone and an alternating current (AC) component; and a DC current absorber electrically connected to an output terminal of the squaring circuit, the DC current absorber being configured to filter out the DC component of the output current of the squaring circuit to produce a filtered output of the squaring circuit, the filtered output including the AC component including functions of the local oscillator leakage tone and the image tone.

The present invention provides a filtering circuit comprising a poly phase filter and a quadrature phase detector. The poly phase filter comprises a first path, a second path, a third path and a fourth path. The first path is configured to receive a first input signal to generate a first clock signal. The second path comprising a first adjustable delay circuit is configured to receive the first input signal to generate a second clock signal. The third path comprising a second adjustable delay circuit is configured to receive a second input signal to generate a third clock signal. The fourth path is configured to receive the second input signal to generate a fourth clock signal. The quadrature phase detector is configured to detect phases of these clock signals to generate control signals to control the first adjustable delay circuit and the second adjustable delay circuit.