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DAC - Dynamic Parameters

Dynamic Parameters

DAC's dynamic parameters mainly contain:

  • Signal to Noise Ratio (SNR)
  • Total Harmonic Distortion (THD)
  • Signal to Noise and Distortion Ratio (SINAD)
  • Inter-modulation Error (IM)

Signal to Noise Ratio (SNR)

Signal to Noise Ratio (SNR) of an DAC is defined as the ratio of the Measured Signal Power's RMS (excluding Harmonic Distortion) to the Noise Power's RMS:

\[ SNR(dB)=20log(\frac{V_{Signal(RMS)}}{V_{Noise(RMS)}}) \]

Since SNR is an ratio of power, \(20\) in the equation means the square of the ratio of voltage.

Although the Harmonic Distortion is not included in the measurement of SNR, but the Quantization, Thermal and other residual noise in converter are included.

Total Harmonic Distortion (THD)

Total Harmonic Distortion (THD) of an DAC is defined as the ratio of the fundamental to all the harmonic distortion:

\[ THD(dB)=20log(\frac{\sqrt{V^2_{2(RMS)}+V^2_{3(RMS)}+...+V^2_{n(RMS)}}}{V_{1(RMS)}} \]

How to Test Dynamic Parameters

Test System Setup

Test system setup for ADC dynamic parameter tests:

Resolution of AC Digitizer should be at least 2 to 4 bits better than DUT.

Tests Concept

Procedure of testing the dynamic parameters of an DAC is listed below.

1.Make a continuous input digital data signal (of a Sine wave) with the tester for the DAC to convert

It is common practice to ensure that the analog/digital clock are referenced to a common master clock, so that the relationship of the clock sources's frequency is fixed and synchronized, which making test results highly repeatable.

2.Coherently collect a set of samples with the DAC

For Digital Source:

\[ \frac{Fs(dut)}{Fi}=\frac{N}{M} \]

Where \(Fs(dut)\) is the samping rate of Digital Source, \(Fi\) is signal frequency, \(N\) is the number of samples, \(M\) is the number of integer cycles.

For AC_Digital Capture:

\[ \frac{Fs}{Fi}=\frac{Ncap}{Mc} \]

Where \(Fs\) is the DAC sampling rate also the Digital Capture's sample rate, \(Fi\) is the signal frequency, \(Ncap\) is the number of samples captured (2x number), \(Mc\) is the number of integer cycles (odd).

3.Send the collected set of time samples to the DSP to perform DFT / FFT analysis

4.Analyze the frequency bins of interest using equations or tester algorithms for SNR, THD and compare to specification

5.Make a pass / fail decision based on the results

References & Acknowledgements

  • Fundamentals of Testing Using ATE
  • The-Fundamentals-of-Mixed-Signal-Testing_Brian-Lowe

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