According to at least one aspect, a filter network is provided. The filter network comprises: an active filter comprising an amplifier (e.g., an operational amplifier), wherein the active filter is configured to add at least one member selected from the group consisting of a pole and a zero to a transfer function of the filter network; a passive filter coupled to the active filter and configured to add at least one pole to the transfer function of the filter network; and a non-inverting amplifier (e.g., a voltage buffer) having an input coupled to the passive filter and an output coupled to the active filter.

Provided is a receiver. The receiver according to the inventive concept includes a first filter circuit, a second filter circuit, and an amplifier. The first filter circuit provides a first path for first frequency components below first cutoff frequency of input frequency components and passes second frequency components except for the first frequency components of the input frequency components through second path. The second filter circuit attenuates third frequency components below a second cutoff frequency of the second frequency components. The amplifier amplifies the second frequency components including the attenuated third frequency components.

A sensor apparatus includes a resonator, a transducer, a damping resistor, a first switch, a filter stage, a second switch, and a noise rejection stage. The transducer is configured to detect a position of the resonator. The damping resistor is configured to electrostatically actuate the transducer and convert a thermomechanical noise of the resonator to an electromechanical noise. The first switch is configured to receive a first signal from the transducer. The filter stage is configured to receive the first signal and adjust a phase and a gain of the first signal and output a filtered first signal. The second switch is configured to receive a second signal from the transducer. The noise rejection stage is configured to receive the filtered first signal and the second signal and reduce the filtered first signal from an output signal.

A circuit having an input and an output, the circuit comprising: a first amplifier having a first input, a second input and an output coupled to the output of the circuit; a first capacitor having a first terminal coupled to the first input of the first amplifier and a second terminal coupled to the output of the first amplifier; a first resistor having a first terminal coupled to the first input of the first amplifier and a second terminal; a buffer having an output coupled to the second terminal of the first resistor and an input; a second resistor having a first terminal coupled to the output of the first amplifier and a second terminal coupled to the input of the buffer; a second capacitor coupled between the input of the buffer and ground; and a third resistor coupled between the input of the buffer and the input of the circuit.

An integrated circuit that includes an analog frequency-selective gain filter having a frequency-selective gain corresponding to a high-pass filter prior to an analog-to-digital converter (ADC) is described. During operation, the analog frequency-selective gain filter may provide frequency-selective gain (such as a high-pass filter characteristic) to an electrical signal corresponding to a received signal (such as a LiDAR signal, a sonar signal, an ultrasound signal and/or a radar signal) in a ranging receiver. Note that the received signal may correspond to a received frequency-modulated continuous-wave (FMCW) signal. Moreover, the integrated circuit may include a digital processing circuit after the ADC and control logic that instructs the digital processing circuit to characterize the frequency-selective gain (such as an amplitude and/or a phase at a frequency) during a calibration mode. Furthermore, the digital processing circuit may correct an output signal from the ADC based at least in part on the characterized frequency-selective gain.

Systems and methods for estimating frequency and bandwidth of unknown signals using learned features of a filter pair for the purpose of detecting, separating and tracking these signals in an electronic receiver. The techniques could be part of a signal cueing system that initiates signal detection, separation and tracking or a signal separation and tracking system which is initialized by the cueing system and adaptively updates frequency and bandwidth estimates so as to continuously separate and track signals after initial detection. The methodology is to train the filter responses using machine learning by creating a grid of training data based on signal examples that cover a span of frequencies and bandwidths. The system estimates frequency and bandwidth in real time, inputs those estimates into interpolating lookup tables to retrieve filter coefficients, and provides those filter coefficients to a tunable tracking filter.

A method and apparatus for modifying or controlling a resonator connected to a signal loop having an input (18828), an output (18822), and a closed loop frequency response. The signal loop has a primary resonator (18810) having a primary frequency response. There is at least one adjustable resonator (18812) having an adjustable frequency (f) and a secondary Q-factor. An adjustable scaling block (18824) applies a gain factor (g). A controller is connected to the at least one adjustable resonator (18812) and the adjustable scaling block (18824). The controller has instructions to adjust the closed loop frequency response toward a desired closed loop frequency response by controlling the adjustable frequency (f) of the at least one adjustable resonator (18812) and the gain factor (g) of the adjustable scaling block (18824).

A method and apparatus for modifying or controlling a resonator connected to a signal loop having an input (18828), an output (18822), and a closed loop frequency response. The signal loop has a primary resonator (18810) having a primary frequency response. There is at least one adjustable resonator (18812) having an adjustable frequency (f) and a secondary Q-factor. An adjustable scaling block (18824) applies a gain factor (g). A controller is connected to the at least one adjustable resonator (18812) and the adjustable scaling block (18824). The controller has instructions to adjust the closed loop frequency response toward a desired closed loop frequency response by controlling the adjustable frequency (f) of the at least one adjustable resonator (18812) and the gain factor (g) of the adjustable scaling block (18824).

A system and a memory device including a driver circuit, to perform first operations including driving a resistor-capacitor (RC) sensor circuit of an electronic device to a drive voltage using a representative copy of a current that drives an electronic circuit line of the electronic device. The system and memory device including the RC sensor circuit, coupled to the driver circuit, to perform second operations including determining a first sample voltage by sampling a first representative voltage generated at the RC sensor circuit, and determining a second sample voltage by sampling a second representative voltage generated at the RC sensor circuit. The ratio of the first sample voltage and the second sample voltage is indicative of an RC time constant of the electronic circuit line.

A variable filter and method of switching a resonant frequency of the variable filter from an initial frequency to a desired frequency, where the variable filter has a tunable frequency and a variable Q. With the variable filter operating at the initial frequency and an initial Q, the variable filter is Q-spoiled toward a low-Q state. The variable filter is tuned toward the desired frequency and the tunable resonator is Q-enhanced from the low-Q state to achieve a desired filter response.