A first successive approximation register analog-to-digital converter according an embodiment of the present disclosure includes an N-bit (N represents an integer greater than or equal to 5) capacitive digital-to-analog converter including a plurality of capacitive elements. A plurality of first capacitive elements of the plurality of capacitive elements is capacitive elements that have total capacity corresponding to total capacity of a plurality of the capacitive elements corresponding to a whole or a portion of first to (N−1)-th bits, and do not correspond to the first to (N−1)-th bits.

A digital to analog converter for fiber optic gyroscope is disclosed. The digital to analog converter for fiber optic gyroscope includes a random unit generating a random number signal, a plurality of encoding units coupled with the random unit, a plurality of control units respectively one to one coupled with the plurality of encoding units, a current source array coupled with the plurality of control units, and an output load electrically connected to the current source array. Each of the plurality of encoding units converts a plurality of digital signals to a plurality of spin signals according to the random number signal. Each of the plurality of control units converts the plurality of spin signals to a plurality of logic signals. The current source array generates a total current according to the plurality of logic signals. The total current passes through the output load and forms an analog signal.

A Digital-to-Analog Converter (DAC) is provided. The DAC includes a code converter circuit configured to sequentially receive first digital control codes for controlling N digital-to-analog converter cells. N is an integer greater than one. The code converter circuit is further configured to convert the first digital control codes to second digital control codes. Additionally, the DAC includes a bit-shifter circuit configured to receive shift codes for the second digital control codes. The shift codes are obtained using dynamic element matching and indicate a respective circular shift by r.sub.i bit positions for the i-th second digital control code, wherein r.sub.i is an integer smaller than N−1. The bit-shifter circuit is further configured to generate third digital control codes by circularly shifting the second digital codes based on the shift codes. In addition, the DAC includes a cell activation circuit configured to selectively activate one or more of the N digital-to-analog converter cells based on the third digital control codes.

The present disclosure relates generally to digital microphone and other sensor assemblies including a transducer and a delta-sigma analog-to-digital converter (ADC) with digital-to-analog converter (DAC) element mismatch shaping and more particularly to sensor assemblies and electrical circuits therefor including a dynamic element matching (DELM) entity configured to select DAC elements based on data weighted averaging (DWA) and a randomized non-negative shift.

A Sigma Delta analog-to-digital converter (ADC) and a method for eliminating idle tones of the Sigma Delta ADC are provided. The Sigma Delta ADC includes a loop filter, a quantizer, an adder and a digital-to-analog converter (DAC). The loop filter performs filtering on a difference between an analog input signal and an analog feedback signal to generate a filtered signal. The quantizer is coupled to the loop filter, and generates a digital output signal according to the filtered signal. The adder is coupled to the quantizer, and adds a digital dithering signal to the digital output signal to generate a digital feedback signal. The DAC is coupled to the loop filter, and generates the analog feedback signal according to the digital feedback signal.

A quad signal generator circuit generates four 2.sup.N-1 bit control signals in response to a 2.sup.N-1 bit thermometer coded signal. A digital-to-analog converter (DAC) circuit has 2.sup.N-1 unit DAC elements, with each unit DAC element including four switching circuits controlled by corresponding bits of the four 2.sup.N-1 bit control signals. Outputs of the 2.sup.N-1 unit DAC elements are summed to generate an analog output signal. The quad signal generator circuit controls a time delay applied to clock signals relative to the 2.sup.N-1 bit thermometer coded signal and a time delay applied to the 2.sup.N-1 bit thermometer coded signal relative to the delayed clock signals in logically generating the four 2.sup.N-1 bit control signals. The analog output signal may be a feedback signal in a sigma-delta analog-to-digital converter (ADC) circuit that includes a multi-bit quantization circuit operating to quantize a filtered loop signal to generate the 2.sup.N-1 bit thermometer coded signal.

An estimate of unit current element mismatch error in a digital to analog converter circuit is obtained through a correlation process. Unit current elements of the digital to analog converter circuit are actuated by bits of a thermometer coded signal generated in response to a quantization output signal. A correlation circuit generates the estimates of the unit current element mismatch error from a correlation of a first signal derived from the thermometer coded signal and a second signal derived from the quantization output signal.

A quantizer generates a thermometer coded signal from an analog voltage signal. Data weighted averaging (DWA) of the thermometer coded signal is accomplished by controlling the operation of a crossbar switch controlled by a switch control signal to generate an output DWA signal. The output DWA signal is latched to generate a latched output DWA signal which is processed along with bits of the thermometer coded input signal in feedback loop to generate the switch control signal. The latching of the output DWA signal is performed in an input register of a digital-to-analog converter which operates to convert the latched output DWA signal to a feedback analog voltage from which the analog voltage signal is generated. The switch control signal specifies a bit location for a beginning logic transition of the output DWA signal cycle based on detection of an ending logic transition of the latched DWA signal.

Systems and methods for improving the efficiency of a rotational dynamic element matching (DEM) for Delta Sigma converters. In some implementations, the systems and methods are provided for reducing intersymbol interference (ISI) of a Delta Sigma converter. A delta sigma converter architecture can include multiple I-DACs, and the output from each I-DAC can vary from the other l-DACs. Techniques include decreasing mismatch among multiple l-DACs while improving efficiency of rotational dynamic element matching.

A quantizer generates a thermometer coded signal from an analog voltage signal. Data weighted averaging (DWA) of the thermometer coded signal is accomplished by controlling the operation of a crossbar switch controlled by a switch control signal to generate an output DWA signal. The output DWA signal is latched to generate a latched output DWA signal which is processed along with bits of the thermometer coded input signal in feedback loop to generate the switch control signal. The latching of the output DWA signal is performed in an input register of a digital-to-analog converter which operates to convert the latched output DWA signal to a feedback analog voltage from which the analog voltage signal is generated. The switch control signal specifies a bit location for a beginning logic transition of the output DWA signal cycle based on detection of an ending logic transition of the latched DWA signal.