Update Content - 2020-11-05
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@ -4,20 +4,13 @@ author = ["Thomas Dehaeze"]
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Backlinks:
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- [Power Spectral Density]({{< relref "power_spectral_density" >}})
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- [Voltage Amplifier]({{< relref "voltage_amplifier" >}})
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- [Piezoelectric Actuators]({{< relref "piezoelectric_actuators" >}})
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- [Position Sensors]({{< relref "position_sensors" >}})
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Tags
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Tags
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: [Electronics]({{< relref "electronics" >}}), [Dynamic Error Budgeting]({{< relref "dynamic_error_budgeting" >}})
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: [Electronics]({{< relref "electronics" >}}), [Dynamic Error Budgeting]({{< relref "dynamic_error_budgeting" >}})
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## SNR to Noise PSD {#snr-to-noise-psd}
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## SNR to Noise PSD {#snr-to-noise-psd}
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From ([Jabben 2007](#orgae2d3e0)) (Section 3.3.2):
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From ([Jabben 2007](#org4650879)) (Section 3.3.2):
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> Electronic equipment does most often not come with detailed electric schemes, in which case the PSD should be determined from measurements.
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> Electronic equipment does most often not come with detailed electric schemes, in which case the PSD should be determined from measurements.
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> In the design phase however, one has to rely on information provided by specification sheets from the manufacturer.
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> In the design phase however, one has to rely on information provided by specification sheets from the manufacturer.
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@ -77,6 +70,7 @@ If the wanted full range and RMS value of the noise are defined, the required SN
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<div></div>
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<div></div>
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Let's say the wanted noise is \\(1 mV, \text{rms}\\) for a full range of \\(20 V\\), the corresponding SNR is:
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Let's say the wanted noise is \\(1 mV, \text{rms}\\) for a full range of \\(20 V\\), the corresponding SNR is:
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\\[ S\_{snr} = 20 \log \frac{\frac{20/2}{\sqrt{2}}}{10^{-3}} \approx 77dB \\]
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\\[ S\_{snr} = 20 \log \frac{\frac{20/2}{\sqrt{2}}}{10^{-3}} \approx 77dB \\]
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</div>
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</div>
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@ -84,7 +78,7 @@ Let's say the wanted noise is \\(1 mV, \text{rms}\\) for a full range of \\(20 V
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## Noise Density to RMS noise {#noise-density-to-rms-noise}
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## Noise Density to RMS noise {#noise-density-to-rms-noise}
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From ([Fleming 2010](#org1022284)):
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From ([Fleming 2010](#orgf1518db)):
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\\[ \text{RMS noise} = \sqrt{2 \times \text{bandwidth}} \times \text{noise density} \\]
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\\[ \text{RMS noise} = \sqrt{2 \times \text{bandwidth}} \times \text{noise density} \\]
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If the noise is normally distributed, the RMS value is also the standard deviation \\(\sigma\\).
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If the noise is normally distributed, the RMS value is also the standard deviation \\(\sigma\\).
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@ -104,6 +98,6 @@ The peak-to-peak noise will be approximately \\(6 \sigma = 1.7 nm\\)
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## Bibliography {#bibliography}
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## Bibliography {#bibliography}
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<a id="org1022284"></a>Fleming, A.J. 2010. “Nanopositioning System with Force Feedback for High-Performance Tracking and Vibration Control.” _IEEE/ASME Transactions on Mechatronics_ 15 (3):433–47. <https://doi.org/10.1109/tmech.2009.2028422>.
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<a id="orgf1518db"></a>Fleming, A.J. 2010. “Nanopositioning System with Force Feedback for High-Performance Tracking and Vibration Control.” _IEEE/ASME Transactions on Mechatronics_ 15 (3):433–47. <https://doi.org/10.1109/tmech.2009.2028422>.
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<a id="orgae2d3e0"></a>Jabben, Leon. 2007. “Mechatronic Design of a Magnetically Suspended Rotating Platform.” Delft University.
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<a id="org4650879"></a>Jabben, Leon. 2007. “Mechatronic Design of a Magnetically Suspended Rotating Platform.” Delft University.
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