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Data Converters

What Are Sampling Rate and Resolution?

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Quick answer

Two basic values set the quality of an ADC or DAC: the sampling rate (how often in time) and the resolution (how fine in amplitude).

Sampling Rate

It shows how many times per second the signal is measured; its unit is samples/second (Sa/s) or Hz. Fast-changing signals need high sampling; for example, CD audio quality is 44,100 samples/second.

The Nyquist Theorem

To capture a signal correctly, the sampling rate must be at least twice the signal's highest frequency. Below this limit, aliasing (false frequencies) occurs and the signal is corrupted.

Resolution (Bit Depth)

It's how many bits represent each sample. n bits means 2ⁿ different levels: 8-bit is 256, 12-bit is 4096, 16-bit is 65,536 levels. Higher resolution provides finer amplitude distinction.

ConceptSets
Sampling rateTime axis (frequency)
ResolutionAmplitude axis (fineness)

The Two Together

For a good conversion both must be adequate: a high-frequency but low-resolution measurement stays coarse; a high-resolution but slow measurement misses fast changes. Both also increase the amount of data.

Common Mistakes

  • Aliasing: sampling below Nyquist produces false frequencies.
  • Overdoing it: higher-than-needed rate/resolution creates needless data and cost.
  • Skipping the filter: an anti-alias filter should be placed before sampling.

Frequently Asked Questions

What is the Nyquist frequency?+
Half the sampling rate; it shows the highest signal frequency that can be captured correctly.
Which matters more, resolution or rate?+
It depends on the application; resolution for audio amplitude, sampling rate for fast signals.

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