From 834423bbfce20ea6df568515c373a07bd51b76d9 Mon Sep 17 00:00:00 2001 From: Thomas Dehaeze Date: Thu, 5 Nov 2020 16:00:40 +0100 Subject: [PATCH] Update Content - 2020-11-05 --- content/zettels/signal_to_noise_ratio.md | 16 +++++----------- 1 file changed, 5 insertions(+), 11 deletions(-) diff --git a/content/zettels/signal_to_noise_ratio.md b/content/zettels/signal_to_noise_ratio.md index b350790..b36b546 100644 --- a/content/zettels/signal_to_noise_ratio.md +++ b/content/zettels/signal_to_noise_ratio.md @@ -4,20 +4,13 @@ author = ["Thomas Dehaeze"] draft = false +++ -Backlinks: - -- [Power Spectral Density]({{< relref "power_spectral_density" >}}) -- [Voltage Amplifier]({{< relref "voltage_amplifier" >}}) -- [Piezoelectric Actuators]({{< relref "piezoelectric_actuators" >}}) -- [Position Sensors]({{< relref "position_sensors" >}}) - Tags : [Electronics]({{< relref "electronics" >}}), [Dynamic Error Budgeting]({{< relref "dynamic_error_budgeting" >}}) ## SNR to Noise PSD {#snr-to-noise-psd} -From ([Jabben 2007](#orgae2d3e0)) (Section 3.3.2): +From ([Jabben 2007](#org4650879)) (Section 3.3.2): > Electronic equipment does most often not come with detailed electric schemes, in which case the PSD should be determined from measurements. > In the design phase however, one has to rely on information provided by specification sheets from the manufacturer. @@ -77,6 +70,7 @@ If the wanted full range and RMS value of the noise are defined, the required SN
Let's say the wanted noise is \\(1 mV, \text{rms}\\) for a full range of \\(20 V\\), the corresponding SNR is: + \\[ S\_{snr} = 20 \log \frac{\frac{20/2}{\sqrt{2}}}{10^{-3}} \approx 77dB \\] @@ -84,7 +78,7 @@ Let's say the wanted noise is \\(1 mV, \text{rms}\\) for a full range of \\(20 V ## Noise Density to RMS noise {#noise-density-to-rms-noise} -From ([Fleming 2010](#org1022284)): +From ([Fleming 2010](#orgf1518db)): \\[ \text{RMS noise} = \sqrt{2 \times \text{bandwidth}} \times \text{noise density} \\] If the noise is normally distributed, the RMS value is also the standard deviation \\(\sigma\\). @@ -104,6 +98,6 @@ The peak-to-peak noise will be approximately \\(6 \sigma = 1.7 nm\\) ## Bibliography {#bibliography} -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. . +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. . -Jabben, Leon. 2007. “Mechatronic Design of a Magnetically Suspended Rotating Platform.” Delft University. +Jabben, Leon. 2007. “Mechatronic Design of a Magnetically Suspended Rotating Platform.” Delft University.