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Update one equation that was not displayed correctly

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Thomas Dehaeze 2019-08-29 11:28:51 +02:00
parent b09f32a632
commit 148ede19ad
3 changed files with 882 additions and 179 deletions
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matlab/index.html
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matlab/index.org
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@ -835,8 +835,10 @@ The noise sources $\tilde{n}_i$ are considered to be white noise: $\Phi_{\tilde{
\begin{align*}
\hat{x} &= H_1(s) N_1(s) \tilde{n}_1 + H_2(s) N_2(s) \tilde{n}_2 + \Big(H_1(s) \big(1 + w_1(s) \Delta_1(s)\big) + H_2(s) \big(1 + w_2(s) \Delta_2(s)\big)\Big) x \\
&= H_1(s) N_1(s) \tilde{n}_1 + H_2(s) N_2(s) \tilde{n}_2 + \big(1 + H_1(s) w_1(s) \Delta_1(s) + H_2(s) w_2(s) \Delta_2(s)\big) x
\hat{x} &= H_1(s) N_1(s) \tilde{n}_1 + H_2(s) N_2(s) \tilde{n}_2 \\
&\quad \quad + \Big(H_1(s) \big(1 + w_1(s) \Delta_1(s)\big) + H_2(s) \big(1 + w_2(s) \Delta_2(s)\big)\Big) x \\
&= H_1(s) N_1(s) \tilde{n}_1 + H_2(s) N_2(s) \tilde{n}_2 \\
&\quad \quad + \big(1 + H_1(s) w_1(s) \Delta_1(s) + H_2(s) w_2(s) \Delta_2(s)\big) x
\end{align*}
To the dynamics of the super sensor is:

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matlab/ref.bib
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@ -169,3 +169,16 @@
doi = {10.1109/tac.2008.923738},
url = {https://doi.org/10.1109/tac.2008.923738},
}
@article{barzilai98_techn_measur_noise_sensor_presen,
author = {Aaron Barzilai and Tom VanZandt and Tom Kenny},
title = {Technique for Measurement of the Noise of a Sensor in the
Presence of Large Background Signals},
journal = {Review of Scientific Instruments},
volume = 69,
number = 7,
pages = {2767-2772},
year = 1998,
doi = {10.1063/1.1149013},
url = {https://doi.org/10.1063/1.1149013},
}