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9.3 Analog-to-digital and digital-to-analog conversion

3 min readjuly 18, 2024

Analog-to-digital and are crucial processes in modern electronics. They bridge the gap between the continuous analog world and the discrete digital realm, enabling devices to process and manipulate signals effectively.

These conversions involve , , and steps. Understanding the trade-offs between sampling rate, , and is key for engineers designing systems that balance performance and efficiency in various applications.

Analog-to-Digital and Digital-to-Analog Conversion

Process of analog-to-digital conversion

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  • Converts continuous-time, continuous-amplitude analog signal into discrete-time, discrete-amplitude digital signal
    • Analog signal varies continuously over time (voltage, current)
    • Digital signal consists of binary numbers representing analog signal's amplitude at discrete time intervals
  • Key components:
    • removes high-frequency components from analog signal to prevent aliasing during sampling
    • captures analog signal's amplitude at discrete time intervals and holds value constant for short period to allow quantization
    • converts sampled analog value into discrete digital value by assigning it to nearest predetermined level
    • assigns unique binary code to each quantized level, producing final digital output

Process of digital-to-analog conversion

  • Converts discrete-time, discrete-amplitude digital signal into continuous-time, continuous-amplitude analog signal
    • Digital signal consists of binary numbers
    • Analog signal varies continuously over time (voltage, current)
  • Key components:
    • holds binary code representing desired analog output level
    • DAC converter generates analog output level proportional to binary code in
      • Common DAC architectures: , ,
    • smooths stepped analog output from DAC converter, removing high-frequency components and reconstructing original analog signal

Comparison of ADC architectures

  • :
    • Fastest architecture, suitable for high-speed applications
    • Uses parallel array of comparators to compare input signal with reference voltages simultaneously
    • Resolution limited by number of comparators (typically 8-12 bits)
    • High power consumption and complexity due to large number of comparators
  • :
    • Uses binary search algorithm to determine digital output one bit at a time
    • Requires only one comparator and a DAC, more power-efficient and less complex than
    • Slower than flash ADC, but offers higher resolution (typically 12-18 bits)
    • Suitable for medium-speed, high-resolution applications
  • :
    • Oversamples input signal at high rate and performs noise shaping to push quantization noise to higher frequencies
    • Uses low-resolution ADC (typically 1-5 bits) and feedback loop with integrator and DAC
    • Achieves high resolution (16-24 bits) by trading off speed for accuracy
    • Suitable for low-speed, high-resolution applications (audio, precision measurement)

Trade-offs in ADC and DAC systems

  • Sampling rate:
    • Higher rates allow more accurate representation of original analog signal and support wider signal bandwidth
    • Require faster ADC/DAC components, leading to increased power consumption and system complexity
  • Resolution:
    • Higher resolution ADCs and DACs provide more precise digital representations of analog signal
    • Requires more complex circuitry, may result in slower conversion speeds and higher power consumption
  • Power consumption:
    • Higher sampling rates and resolution typically lead to increased power consumption
    • Power-efficient architectures (SAR ADCs) can balance performance and power consumption
  • System designers must consider application requirements and optimize trade-offs
    • Battery-powered devices: lower sampling rates and resolution may be acceptable to minimize power consumption
    • High-fidelity audio systems: higher sampling rates and resolution necessary to maintain signal quality, at cost of increased power consumption and system complexity
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© 2024 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.

© 2024 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.
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