A signal processing apparatus has a multi-bit quantizer and a processing circuit. The multi-bit quantizer determines and outputs code segments of a multi-bit output code sequentially. The code segments include a first code segment and a second code segment. The processing circuit generates digital outputs according to the code segments, respectively. The digital outputs include a first digital output derived from a first code segment and a second digital output derived from a second code segment. A first transfer function between the first digital output and the first code segment is different from a second transfer function between the second digital output and the second code segment.

Described is an apparatus which comprises: a first integrator to receive an input signal and to generate a first output; a second integrator to receive the first output or a version of the first output and to generate a second output; and an analog-to-digital converter (ADC) to quantize the second output into a digital representation, the ADC including a detection circuit to detect an overload condition in the second output.

Provided is a transmission system including: a signal processing apparatus 2 configured to transmit, via a signal cable 4, a delta-sigma modulated signal obtained by performing delta-sigma modulation on a transmission signal that is an RF signal; and a wireless apparatus 3 configured to transmit, via the signal cable 4, a reception signal that is an RF signal. The signal processing apparatus 2 transmits the delta-sigma modulated signal to the wireless apparatus 3, and the wireless apparatus 3 transmits the reception signal to the signal processing apparatus 2. In the delta-sigma modulated signal, quantization noise is suppressed at the frequency of the reception signal. The reception signal is transmitted to the signal processing apparatus 2 while the delta-sigma modulated signal is being transmitted to the wireless apparatus 3.

A microelectromechanical acceleration sensor system including a microelectromechanical acceleration sensor element for detecting acceleration values acting on the acceleration sensor element, a sigma-delta analog-to-digital converter for converting the analog output signals of the acceleration sensor element into digital output signals, and a first signal generator element and a second signal generator element. The first signal generator element is connected between the acceleration sensor element and the analog-to-digital converter and being configured to apply a predetermined signal value to the output signals of the acceleration sensor element. The signal value of the first signal generator element corresponding to an acceleration value that is greater than the average gravity acceleration, and the second signal generator element being connected in a signal processing direction downstream from the analog-to-digital converter and being configured to correct the digital output signals of the analog-to-digital converter by the signal value of the first signal generator element.

A frequency delta-sigma modulation signal output circuit includes: a phase modulation circuit configured to generate n delay signals obtained by delaying a measurement target signal, n being an integer of 2 or more, and generate a phase modulation signal by randomly selecting one of the n delay signals in synchronization with the measurement target signal; and a frequency ratio digital conversion circuit configured to generate a frequency delta-sigma modulation signal using a reference signal and the phase modulation signal.

A readout circuit for a high-precision vibration sensor comprises an on-chip self-test circuit, a low-noise charge amplifier, a correlated double sampling circuit, a PID feedback control circuit, a phase compensation circuit and Sigma-Delta. A self-test signal is amplified by the low-noise charge amplifier, low-frequency noise and offsets are filtered out by the correlated double sampling circuit, then a self-test path and a working path of a vibration sensor are separated in the time domain by the PID feedback control circuit, the phase compensation circuit performs zero compensation and pole compensation on the signal, and Sigma-Delta converts an analog signal into a high-precision digital signal.

A vibration rectification error correction device includes a first filter that operates in synchronization with the measured signal, and a second filter that operates in synchronization with the reference signal, in which the first filter generates a third signal based on a first signal having a first group delay amount and a second signal having a second group delay amount, the second filter receives a signal based on the third signal and outputs a fourth signal, and a first vibration rectification error and a second vibration rectification error have different polarities.

A method for Signal-to-Noise and Distortion Ratio (SNDR) improvement through optimal Digital-to-Analog-Converter (DAC) element selection includes randomizing an order of a plurality of unit elements of a DAC, wherein each of the unit elements is controlled by a respective one of a plurality of digital inputs of the DAC. The plurality of digital inputs is sequentially asserted over at least a subset of a full set of the digital inputs to generate a plurality of analog values of an output of the DAC. A first SNDR of the DAC is measured from the plurality of analog values. A maximum SNDR, corresponding to an optimal order, is determined from the first SNDR and at least one previously measured SNDR. The optimal order of the unit elements of the DAC is stored in a memory to define connections between the digital inputs and the respective unit elements based on the optimal order.

Shortening any of the operational phases of a noise-shaping successive approximation register (SAR) analog-to-digital converter (ADC), including the acquisition phase, the bit trial phase, and the residue charge transfer phase, can result in higher power, and it can be difficult to achieve high speed at low power.

Using various techniques described, the acquisition, bit-trial, and residue charge transfer phases of two or more digital-to-analog converter (DAC) circuits of an ADC circuit can be time-interleaved. The use of two or more DAC circuits can increase or maximize the time available for the acquisition, bit-trial, and residue charge transfer phases.

A continuous-time analog-to-digital converter (ADC) includes a plurality of integrators selectively coupled in series. The ADC may further include a quantizer with excess loop delay (ELD) compensation. The quantizer may be coupled in series to a least one integrator. The ELD compensation may be programmable based on a transfer function of the ADC. The ADC may further include parallel digital-to-analog converters (DACs). Each DAC may have an input coupled to an output of the quantizer, and an output coupled to an input of a corresponding integrator. The ADC may further include a bypass path coupled to an input or output of one of the integrators. The bypass path may be configured to selectively bypass one or more of the integrators to change the transfer function of the ADC.