Update Content - 2024-12-17
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@@ -33,7 +33,7 @@ Let's suppose that the ADC is ideal and the only noise comes from the quantizati
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Interestingly, the noise amplitude is uniformly distributed.
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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).
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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](#figure--fig:probability-density-function-adc)).
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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. [Figure 1](#figure--fig:probability-density-function-adc)).
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<a id="figure--fig:probability-density-function-adc"></a>
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@@ -118,7 +118,9 @@ f\_{os} = 4^w \cdot f\_s
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## Sigma Delta ADC {#sigma-delta-adc}
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From (<a href="#citeproc_bib_item_7">Schmidt, Schitter, and Rankers 2020</a>):
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(<a href="#citeproc_bib_item_7">Pisani 2018</a>)
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From (<a href="#citeproc_bib_item_8">Schmidt, Schitter, and Rankers 2020</a>):
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> The low cost and excellent linearity properties of the Sigma-Delta ADC have replaced other ADC types in many measurement and registration systems, especially where storage of data is more important than real-time measurement.
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> This has typically been the case in audio recording and reproduction.
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@@ -159,5 +161,6 @@ Therefore, even though there are sigma-delta ADC with high precision and samplin
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<div class="csl-entry"><a id="citeproc_bib_item_4"></a>Kester, Walt. 2005. “Taking the Mystery out of the Infamous Formula, $snr = 6.02 N + 1.76 Db$, and Why You Should Care.”</div>
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<div class="csl-entry"><a id="citeproc_bib_item_5"></a>Lab, Silicon. 2013. “Improving the ADC Resolution by Oversampling and Averaging.” Silicon Laboratories.</div>
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<div class="csl-entry"><a id="citeproc_bib_item_6"></a>Microchip. 1999. “Anti-Aliasing, Analog Filters for Data Acquisition Systems.”</div>
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<div class="csl-entry"><a id="citeproc_bib_item_7"></a>Schmidt, R Munnig, Georg Schitter, and Adrian Rankers. 2020. <i>The Design of High Performance Mechatronics - Third Revised Edition</i>. Ios Press.</div>
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<div class="csl-entry"><a id="citeproc_bib_item_7"></a>Pisani, Brian. 2018. “Accounting for Delay from Multiple Sources in Delta-Sigma ADCs.”</div>
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<div class="csl-entry"><a id="citeproc_bib_item_8"></a>Schmidt, R Munnig, Georg Schitter, and Adrian Rankers. 2020. <i>The Design of High Performance Mechatronics - Third Revised Edition</i>. Ios Press.</div>
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</div>
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