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        <title>Palouse RoboSub Technical Documentation cs:localization:sensors</title>
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       <dc:date>2026-04-06T23:52:06-0700</dc:date>
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        <dc:date>2017-09-03T13:52:30-0700</dc:date>
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        <title>Sensors</title>
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        <description>Sensors

Note: This section is currently under revision.

Sensors produce measurements that reflect the state of the external world - plus some noise.  This section will go through what various sensors are measuring, their sources of noise, and how to relate them to states we want to keep track of.$$
A = a_t + a_r + a_c + a_g
$$$R(\psi,\phi,\theta) = R(0,0,0)$$[0,0,+g]$$g \approx 9.8\frac{m}{s^2}$$45^o$$45^o$$R^{-1} = R'$$$
a_g = R^T
\begin{bmatrix} 
0 \\ 
0 \\ 
g 
\end{bmatrix}
= 
\begin{bmatri…</description>
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