A delta-sigma modulator includes a first combining circuit, a loop filter circuit, a quantizer circuit, a truncator circuit, a first digital-to-analog converter (DAC) circuit, and a compensation circuit. The first combining circuit generates a first analog signal by combining an analog feedback signal and an analog input signal. The loop filter circuit generates a loop-filtered signal according to the first analog signal. The quantizer circuit outputs a first digital signal that is indicative of a digital combination result of at least a truncation error compensation signal and the loop-filtered signal. The truncator circuit performs truncation upon the first digital signal to generate a second digital signal. The first DAC circuit generates the analog feedback signal according to the second digital signal. The compensation circuit generates the truncation error compensation signal according to a truncation error resulting from truncation performed upon the first digital signal.

A semiconductor device includes a signal input circuit configured to select one of the plurality of differential sensor signals according to a channel selection signal; an amplifier circuit configured to amplify an output of the signal input circuit; and an analog-to-digital converter (ADC) configured to convert an output of the amplifier circuit into a digital value, wherein each of the plurality of sensor signals is a differential signals and the signal input circuit changes polarity of an output signal thereof according to a first chopping signal, and wherein the ADC includes a delta-sigma modulator configured to generate a bit stream from an output of the amplifier circuit; an output chopping circuit configured to adjust phase of the bit stream according to the first chopping signal; and a filter configured to filter an output of the output chopping circuit and to output the digital value.

A correction method and a correction circuit for a sigma-delta modulator (SDM) are disclosed. The SDM includes a loop filter, a quantizer, and a digital-to-analog converter (DAC), and the loop filter includes a resonator. The correction circuit includes a memory and a control circuit. The memory stores multiple program instructions. The control circuit executes the program instructions to correct the SDM. The correction procedure of the SDM includes the following steps: inputting a test signal to the SDM; obtaining a signal characteristic value of an output signal of the SDM; and adjusting the resonator according to the signal characteristic value.

Disclosed is an analog-to-digital converter with an adjustable operation frequency for noise reduction. The operation frequency of the analog-to-digital converter is adjustable, and if an input signal or a circuit is affected by a noise, the noise can be reduced by spreading the frequency distribution of the noise. A clock generator generates a clock signal for controlling the operation frequency of the analog-to-digital converter. Additionally, a clock controller receives a setting signal and a counting signal, controls the clock generator, and adjusts the frequency of the clock signal. In addition, a counter counts the number of periods of the clock signal, and generates the counting signal. Furthermore, a selecting signal makes the frequency of the clock signal gradually increase or decrease with time, thereby allowing change rate or change amount of the frequency of the clock signal to be adjustable.

A feedback divider in a mixed-signal circuit is modulated by a frequency control word controlling a delta-sigma modulator. An accumulated quantization error from the delta-sigma modulator is compared to a residual error in the circuit by a Least-Mean Square (LMS) correlator for gain calibration to adjust for linear errors. Upper bits of the accumulated quantization error access a lookup table to find two outputs of the compensation function that are interpolated between using lower bits of the accumulated quantization error. The interpolated result is an adjustment subtracted from the loop to compensate for non-linear errors. A set of orthogonal kernels is generated from the accumulated quantization error and calibrated using another LMS correlator and inverse transformed to generate updates to the non-linear compensation function in the lookup table. The kernels can be Walsh Hadamard (WH) and the inverse transformer an inverse WH transformer.

A feedback divider in a mixed-signal circuit is modulated by a frequency control word controlling a delta-sigma modulator. An accumulated quantization error from the delta-sigma modulator is compared to a residual error in the circuit by a Least-Mean Square (LMS) correlator for gain calibration to adjust for linear errors. Upper bits of the accumulated quantization error access a lookup table to find two outputs of the compensation function that are interpolated between using lower bits of the accumulated quantization error. The interpolated result is an adjustment subtracted from the loop to compensate for non-linear errors. A set of orthogonal kernels is generated from the accumulated quantization error and calibrated using another LMS correlator and inverse transformed to generate updates to the non-linear compensation function in the lookup table. The kernels can be Walsh Hadamard (WH) and the inverse transformer an inverse WH transformer.

A delta-sigma modulator may include a loop filter having a loop filter input configured to receive an input signal and generate an intermediate signal responsive to the input signal and a near-zero asymmetric quantizer configured to quantize the intermediate signal into a quantized output signal which is fed back as an input to the loop filter such that the quantized output signal has a plurality of quantization levels, wherein the plurality of quantization levels are asymmetric to zero.

Switching circuits controllable to force an input into a circuit and to sense a responsively produced output in multiple ways to produce different combinations of positive and negative polarities of a desired signal and of sources of offsets and 1/f noise. The switching circuits are controlled in a non-ordered time sequence of different combinations of positive and negative polarities of the sources of the offsets and 1/f noise that spreads their energy to a frequency range above the desired signal frequency band. The non-ordered time sequence leaves the polarity of the desired signal unchanged. Uncorrelated delta-sigma modulators may generate the control signal. A DSP processes a resulting spectrum of a digital domain version of the sensed output to measure residual offsets and 1/f noise and adds to an input present at the DSMs a signal equal in magnitude and opposite in sign to the measured residual offsets and 1/f noise.

A feedback divider in a mixed-signal circuit is modulated by a frequency control word controlling a delta-sigma modulator. An accumulated quantization error from the delta-sigma modulator is compared to a residual error in the circuit by a Least-Mean Square (LMS) correlator for gain calibration to adjust for linear errors. Upper bits of the accumulated quantization error access a lookup table to find two outputs of the compensation function that are interpolated between using lower bits of the accumulated quantization error. The interpolated result is an adjustment subtracted from the loop to compensate for non-linear errors. A set of orthogonal kernels is generated from the accumulated quantization error and calibrated using another LMS correlator and inverse transformed to generate updates to the non-linear compensation function in the lookup table. The kernels can be Walsh Hadamard (WH) and the inverse transformer an inverse WH transformer.

Sigma-delta converters having a sampling circuit are provided. The sampling circuit is actuated such that sampling times are at least partially random.