A method includes receiving samples of digital to analog converter (DAC), partitioning the samples to unit-DACs based upon previous partitions of inputs to the unit-DACs to cancel out integrated non-linearities of outputs of the DAC caused by the gain mismatches of the unit-DACs, including partitioning samples of DAC input to the unit-DACs through a recursive nth order partitioning algorithm. The algorithm includes, for each DAC input, determining a first partition of the DAC input that would cancel an (n1)th order previously integrated non-linearity, adding an equivalent DAC input of the first partition to the DAC input to obtain a total DAC input, using a first order application of the total DAC input to the inputs of the unit-DACs to yield a second partition of DAC input, summing the first and second partitions generate a final partition, and, based on the final partition, computing non-linearity remainders at each order of integration.

A frequency delta sigma modulation signal output circuit includes a phase modulation circuit that outputs a phase modulation signal based on a delay signal obtained by delaying a signal to be measured, in synchronization with the signal to be measured, and a frequency ratio digital conversion circuit that generates a frequency delta sigma modulation signal using a reference signal and the phase modulation signal.

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.

A physical quantity sensor module includes: a resonant frequency shift based physical quantity sensor whose frequency adjusts with a adjust in physical quantity; a reference signal oscillator which outputs a reference signal; a frequency delta-sigma modulator which performs frequency delta-sigma modulation of the reference signal, using an operation signal based on a measurement target signal as an output from the resonant frequency shift based physical quantity sensor, and generates a frequency delta-sigma modulated signal; a first low-pass filter provided on an output side of the frequency delta-sigma modulator and operating synchronously with the measurement target signal as the output from the resonant frequency shift based physical quantity sensor; and a second low-pass filter provided on an output side of the first low-pass filter and operating synchronously with the reference signal.

A multi-bit continuous-time sigma-delta modulator, SDM, includes an input configured to receive an input analog signal; a first summing junction configured to subtract a feedback analog signal from the input analog signal; a loop filter configured to filter an output signal from the first summing junction (304): an analog-to-digital converter, ADC, configured to convert the filtered analog output signal to a digital output signal; and a feedback path for routing the digital output signal to the first summing junction. The feedback path includes a plurality of digital-to-analog converters, DACs, configured to convert the digital output signal to an analog form. The ADC comprises a plurality of N-bit comparator latches that are each locally time-interleaved with at least a pair of latches and configured to function in a complementary manner and provide a combined complementary output.

A delta-sigma modulator architecture with idle tone suppression based on injecting an out-of-band signal includes: modulator input circuitry to provide a modulator input signal; modulator loop circuitry to quantize the modulator input signal to generate a modulator output signal at an oversampling frequency, and to provide a feedback signal. Digital filtering circuitry filters the modulator output signal to provide a digital output signal at a data rate frequency related to the oversampling frequency by a defined oversampling ratio. Out-of-band (OoB) signal generator circuitry injects a deterministic OoB injection signal at a defined OoB frequency outside of a target frequency band. The modulator input circuitry combines the analog input signal, the feedback signal, and the OoB injection signal into the modulator input signal. The digital filtering circuitry filters the OoB injection signal. The OoB injection signal can be selectively defined to suppress idle tones generated in the modulator loop circuitry.

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.

A clock generator comprise a delta-sigma modulation, DSM, for generating a division control signal and a phase control signal, an oscillator, for generating an oscillation signal with a first frequency, an adjustable frequency divider, for performing a division operation on the oscillation signal according to the division control signal, to generate a first division signal and a second division signal with a second frequency, and a phase interpolator, PI, for performing a phase interpolation operation on the first and second division signals according to the phase control signal, to generate an output signal with an output frequency, wherein the first frequency is greater than the second frequency.

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 system and method for regulating transfer characteristics of an integral analog-to-digital converter are provided. The system comprises a cascade N-stage integrator structure having N integrators, the input end of the first integrator is connected to a voltage, the output end of each integrator is connected to the input end of the adjacent integrator, and the output end of the Nth integrator is connected to an output node (VRAMP). Wherein, the N is positive integer greater than or equal to 2. In the cascade multistage integrator structure, the voltage of the output node (VRAMP) is in direct proportion relation with the time to the power of N. By adopting a cascade multistage integrator according to the present disclosure, it is simple to regulate transfer characteristics of the ADC, and the cascade digital signal processing is convenient, which can reduce the ADC conversion time and improve the ADC conversion rate. Compared with the existing polyline mode, the present disclosure has better linearity; and it can be easily extended to cascade multistage integrators.