1. Field of the Invention
The present invention relates generally to analog-to-digital converters (ADCs), and more specifically, to a feed-forward ADC having a reduced number of amplifiers and feed-forward signal paths.
2. Background of the Invention
Delta-sigma modulators are in widespread use in ADCs and digital-to-analog converters DACs, in which they provide very linear behavior and simple implementation due to the reduced number of bits used in the analog signal comparison. Delta-sigma modulators can be implemented with a high level of control of the frequency distribution of “quantization noise”, which is the difference between the ideal output value of the modulator as determined by the input signal and the actual output of the modulator provided by a quantizer. The relative simplicity of the architecture and the ability to finely control the quantization noise makes delta-sigma converter implementations very desirable.
The delta-sigma modulator based ADC includes a loop filter that receives an input signal and a quantizer that converts the output of the loop filter to a digital representation. Feedback from the quantizer output is applied to each integrator in the loop filter for feedback modulator topologies or only to the input of the loop filter for feed-forward modulator topologies. The feedback provided from the quantizer is typically generated by a coarse feedback DAC that receives the digital output of the quantizer and generates an analog value that is provided to the loop filter. The feedback provides a closed-loop that causes the time-average value of the output of the quantizer to accurately represent the value of the modulator input signal. The loop filter provides shaping of the quantization noise at the output of the quantizer in response to the feedback signal applied from the quantizer to the loop filter.
The loop filter in the feed-forward topology described above typically requires a summer that combines signals from each of a plurality of analog integrator states that are connected in cascade. The input of the cascade receives the input signal to be converted and the output of the summer provides the input to a the quantizer that digitizes the input signal. Each of the integrator stages requires an amplifier. The summer that sums the integrator output signals to generate the quantizer input must handle a combination of the maximum deviation of each of the outputs integrator stages. All of the components listed above contribute to increased power consumption and die area usage. Therefore, it would be desirable to provide an ADC using a delta-sigma modulator having a reduced number of amplifiers. It would further be desirable to provide a feed-forward delta-sigma modulator-based ADC having a reduced dynamic range requirement and power consumption at the summer.
The above stated objective of reducing the number of amplifiers in a delta-sigma modulator-based ADC and reducing the dynamic range and power consumption of the output summer is achieved in an ADC circuit and its method of operation.
The analog-to-digital converter includes a loop filter that provides an output to a quantizer input. The output of the quantizer is provided to a digital integrator that provides the output of a delta-sigma modulator. The loop filter includes at least one switched-capacitor integrator stage that achieves a second-order operation by including a capacitive feedback network connected from an output of an amplifier of the at least one switched-capacitor integrator stage to an input of the amplifier. The capacitive feedback network includes at least two capacitors coupled in series at a common terminal that is intermittently coupled to a reference voltage source by a switched-capacitor shunt network.
The foregoing and other objectives, features, and advantages of the invention will be apparent from the following, more particular, description of the preferred embodiment of the invention, as illustrated in the accompanying drawings.
The present invention encompasses a method and apparatus for reducing the number of amplifiers in the loop filter of a feed-forward delta-sigma modulator based analog-to-digital converter (ADC). Reducing the number of amplifiers and feed-forward paths in the loop filter reduces circuit complexity and power consumption of converters incorporating delta-sigma modulators that use the techniques disclosed herein.
If the capacitance values of capacitors C1-C4 are assigned as c1-c4, respectively, and Vin is the voltage of input in and Vout is the voltage of output out, then the value of voltage Vout is given by:
Vout=−Vin*c1/(c2*c3)*[(c2+c3+c4)−(c2+c3)z−1]/(1−z−1)2
If the intermediate node connecting capacitors C2 and C3 is assigned voltage Vx then:
Vx/Vin=−c1/c1*z−1/(1−z−1)=z−1/(1−z−1) and therefore
Vout=−c1/(c2*c3)*[Vin*(c2+c3+c4)/(1−z−1)−Vx*(c2+c3)]/(1−z−1).
Vout=k*Vin*z−1/(1−Z−1)2
which is combined by a combiner 33 with the output of integrator 30A scaled by scaling multiplier 32 yielding
a1*k*Vin*z−1/(1−Z−1)
Combiner 33 combines the two values above, resulting in output value:
Vout=k*Vin*z−1(1−z−1)2+a1*k*Vin*z−1/(1−z−1)
when the intermediate voltage Vx is assigned to the output of integrator 30A, then the above can be re-written as:
Vout=k*[Vx/(1−z−1)+a1*Vin*z−1/(1−z−1)]
which when compared with the equation describing the circuit of
Vout=c1/(c2*c3)*[Vin*(c2+c3+c4)/(1−z−1)−Vx*(c2+c3)]/(1−z−1).
shows equivalence of operation when k=c1*(C2+C3))/(c2*c3) and a1=(c2+c3+c4)/(c2+c3).
While the invention has been particularly shown and described with reference to the preferred embodiments thereof, it will be understood by those skilled in the art that the foregoing and other changes in form and details may be made therein without departing from the spirit and scope of the invention.
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