Difficulty: Easy
Correct Answer: Correct
Explanation:
Introduction / Context:
Sigma–delta modulators underpin many modern high-resolution ADCs used in audio, instrumentation, and sensor interfaces. They oversample the input and shape quantization noise out of band, producing a high-rate 1-bit stream that a digital decimation filter converts into multi-bit samples.
Given Data / Assumptions:
Concept / Approach:
A sigma–delta modulator integrates the error between the analog input and a 1-bit DAC's feedback, feeding the result to a 1-bit quantizer. The output bitstream contains the input information plus shaped noise (pushed to higher frequencies). Later, a digital low-pass filter and downsampler recover a precise digital representation of the analog signal in the desired bandwidth, completing the A/D path.
Step-by-Step Solution:
Verification / Alternative check:
Audio ADCs (for example, 24-bit) and precision sensor ADCs commonly specify a sigma–delta front end followed by digital filtering, confirming the A/D purpose of this architecture.
Why Other Options Are Wrong:
The architecture is not limited to D/A tasks; it measures amplitude over time, not just frequency; it is applicable to many sensor types, not only thermocouples.
Common Pitfalls:
Confusing the 1-bit stream with low resolution—after decimation, effective resolution can be very high within the signal band.
Final Answer:
Correct
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