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content/zettels/analog_to_digital_converters.md
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## Types of Analog to Digital Converters {#types-of-analog-to-digital-converters} ## Types of Analog to Digital Converters {#types-of-analog-to-digital-converters}
- Delta Sigma ([Baker 2011](#org1a9e622)) <https://dewesoft.com/daq/types-of-adc-converters>
- Delta Sigma ([Baker 2011](#org9db2758))
- Successive Approximation
## Power Spectral Density of the Quantization Noise {#power-spectral-density-of-the-quantization-noise} ## Power Spectral Density of the Quantization Noise {#power-spectral-density-of-the-quantization-noise}
@ -28,9 +31,9 @@ Let's suppose that the ADC is ideal and the only noise comes from the quantizati
Interestingly, the noise amplitude is uniformly distributed. Interestingly, the noise amplitude is uniformly distributed.
The quantization noise can take a value between \\(\pm q/2\\), and the probability density function is constant in this range (i.e., it’s a uniform distribution). The quantization noise can take a value between \\(\pm q/2\\), and the probability density function is constant in this range (i.e., it’s a uniform distribution).
Since the integral of the probability density function is equal to one, its value will be \\(1/q\\) for \\(-q/2 < e < q/2\\) (Fig. [1](#orga9627b6)). Since the integral of the probability density function is equal to one, its value will be \\(1/q\\) for \\(-q/2 < e < q/2\\) (Fig. [1](#org79dc805)).
<a id="orga9627b6"></a> <a id="org79dc805"></a>
{{< figure src="/ox-hugo/probability_density_function_adc.png" caption="Figure 1: Probability density function \\(p(e)\\) of the ADC error \\(e\\)" >}} {{< figure src="/ox-hugo/probability_density_function_adc.png" caption="Figure 1: Probability density function \\(p(e)\\) of the ADC error \\(e\\)" >}}
@ -84,4 +87,4 @@ The quantization is:
## Bibliography {#bibliography} ## Bibliography {#bibliography}
<a id="org1a9e622"></a>Baker, Bonnie. 2011. “How Delta-Sigma Adcs Work, Part.” _Analog Applications_ 7. <a id="org9db2758"></a>Baker, Bonnie. 2011. “How Delta-Sigma Adcs Work, Part.” _Analog Applications_ 7.