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Fix formatting for documentation of IMU Noise Model (#121)
Summary: Pull Request resolved: #121 Test Plan: Sandcastle doc build Before: {F1784676050} After: {F1784677350} Reviewed By: PiotrBrzyski Differential Revision: D60530853 Pulled By: SeaOtocinclus fbshipit-source-id: 10c9cbf5b8ce2253f887a92bbcbe26741173abd2
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website/docs/tech_insights/imu_noise_model.mdx

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@@ -21,7 +21,7 @@ Where:
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- $x^{\text{sampled}}_k$ is the sampled value seen as a random variable.
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- $n^{\text{turn-on bias}}_{k0}$ is a random variable draw from a Gaussian when the device is turned-on (denoted here as step $k_0$).
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- $n^{\text{white noise}}_{k}$ is the time-independent noise components and draw from a 0-centered Gaussian at each step $k$.
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- The covariance of the Gaussian is usually characterized by the continuous noise $\sigma_c$ strength, which needs to be multiplied by the bandwidth (BW)h in Hz to get the distribution of the sample noise: $\sigma^2_c . BW$.
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- The covariance of the Gaussian is usually characterized by the continuous noise $\sigma_c$ strength, which needs to be multiplied by the bandwidth (BW)h in Hz to get the distribution of the sample noise: $\sigma^2_c \cdot BW$.
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- $\sigma_c$ is sometimes called *Angle Random walk in $rad/s/\sqrt{Hz}$ or $rad/\sqrt{s}$* for the gyrometer and the *Velocity Random Walk in $m/s^2/\sqrt{Hz}$ or $m/s/\sqrt(s)$* for the accelerometer.
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- $n^{\text{bias random walk}}_k$ is drawn from a random walk process.
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@@ -31,8 +31,8 @@ The parameters describing those noises can be derived from an Allan Variance plo
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||accel-left | accel-right| gyro-left | gyro-right|
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|--|--|--|--|--|
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|white noise ($\sigma_c$)|$0.9\times 10^-4\ \text{gees}/\sqrt{Hz}$ |$0.8\times 10^-4\ \text{gees}/\sqrt{Hz}$|$5\times 10^-3\ \text{dps}/\sqrt{Hz}$|$1\times10^-2\ \text{dps}/\sqrt{Hz}$|
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|bias instability |$2.8\times 10^-5\ \text{gees}$|$3.5\times 10^-5\ \text{gees}$|$1\times 10^-3\ \text{dps}$|$1.3\times10^-3\ \text{dps}$|
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|white noise ($\sigma_c$)|$0.9\times 10^{-4}\ \text{gees}/\sqrt{Hz}$ |$0.8\times 10^{-4}\ \text{gees}/\sqrt{Hz}$|$5\times 10^{-3}\ \text{dps}/\sqrt{Hz}$|$1\times10^{-2}\ \text{dps}/\sqrt{Hz}$|
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|bias instability |$2.8\times 10^{-5}\ \text{gees}$|$3.5\times 10^{-5}\ \text{gees}$|$1\times 10^{-3}\ \text{dps}$|$1.3\times10^{-3}\ \text{dps}$|
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The figure below shows the Allan Variance plot supporting this measurement.

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