From 845b6c55b3dc86a4172b480b1fb50a8ac4b5cb7d Mon Sep 17 00:00:00 2001 From: Varun Agrawal Date: Mon, 30 Nov 2020 22:41:11 -0500 Subject: [PATCH 1/5] added Imu parameter units to doc --- doc/ImuFactor.lyx | 180 ++++++++++++++++++++++++++++++++++++++++++---- doc/ImuFactor.pdf | Bin 198168 -> 176165 bytes 2 files changed, 165 insertions(+), 15 deletions(-) diff --git a/doc/ImuFactor.lyx b/doc/ImuFactor.lyx index 0922a3e9c7..55b7201e53 100644 --- a/doc/ImuFactor.lyx +++ b/doc/ImuFactor.lyx @@ -1,5 +1,5 @@ -#LyX 2.0 created this file. For more info see http://www.lyx.org/ -\lyxformat 413 +#LyX 2.1 created this file. For more info see http://www.lyx.org/ +\lyxformat 474 \begin_document \begin_header \textclass article @@ -12,13 +12,13 @@ \font_roman default \font_sans default \font_typewriter default +\font_math auto \font_default_family default \use_non_tex_fonts false \font_sc false \font_osf false \font_sf_scale 100 \font_tt_scale 100 - \graphics default \default_output_format default \output_sync 0 @@ -29,15 +29,24 @@ \use_hyperref false \papersize default \use_geometry true -\use_amsmath 1 -\use_esint 1 -\use_mhchem 1 -\use_mathdots 1 +\use_package amsmath 1 +\use_package amssymb 1 +\use_package cancel 1 +\use_package esint 1 +\use_package mathdots 1 +\use_package mathtools 1 +\use_package mhchem 1 +\use_package stackrel 1 +\use_package stmaryrd 1 +\use_package undertilde 1 \cite_engine basic +\cite_engine_type default +\biblio_style plain \use_bibtopic false \use_indices false \paperorientation portrait \suppress_date false +\justification true \use_refstyle 1 \index Index \shortcut idx @@ -244,7 +253,7 @@ X(t)=\left\{ R_{0},P_{0}+V_{0}t,V_{0}\right\} then the differential equation describing the trajectory is \begin_inset Formula \[ -\dot{X}(t)=\left[0_{3x3},V_{0},0_{3x1}\right],\,\,\,\,\, X(0)=\left\{ R_{0},P_{0},V_{0}\right\} +\dot{X}(t)=\left[0_{3x3},V_{0},0_{3x1}\right],\,\,\,\,\,X(0)=\left\{ R_{0},P_{0},V_{0}\right\} \] \end_inset @@ -602,7 +611,7 @@ key "Iserles00an" , \begin_inset Formula \begin{equation} -\dot{R}(t)=F(R,t),\,\,\,\, R(0)=R_{0}\label{eq:diffSo3} +\dot{R}(t)=F(R,t),\,\,\,\,R(0)=R_{0}\label{eq:diffSo3} \end{equation} \end_inset @@ -947,8 +956,8 @@ Or, as another way to state this, if we solve the differential equations \begin_inset Formula \begin{eqnarray*} \dot{\theta}(t) & = & H(\theta)^{-1}\,\omega^{b}(t)\\ -\dot{p}(t) & = & R_{0}^{T}\, V_{0}+v(t)\\ -\dot{v}(t) & = & R_{0}^{T}\, g+R_{b}^{0}(t)a^{b}(t) +\dot{p}(t) & = & R_{0}^{T}\,V_{0}+v(t)\\ +\dot{v}(t) & = & R_{0}^{T}\,g+R_{b}^{0}(t)a^{b}(t) \end{eqnarray*} \end_inset @@ -1015,7 +1024,7 @@ v(t)=v_{g}(t)+v_{a}(t) evolving as \begin_inset Formula \begin{eqnarray*} -\dot{v}_{g}(t) & = & R_{i}^{T}\, g\\ +\dot{v}_{g}(t) & = & R_{i}^{T}\,g\\ \dot{v}_{a}(t) & = & R_{b}^{i}(t)a^{b}(t) \end{eqnarray*} @@ -1041,7 +1050,7 @@ p(t)=p_{i}(t)+p_{g}(t)+p_{v}(t) evolving as \begin_inset Formula \begin{eqnarray*} -\dot{p}_{i}(t) & = & R_{i}^{T}\, V_{i}\\ +\dot{p}_{i}(t) & = & R_{i}^{T}\,V_{i}\\ \dot{p}_{g}(t) & = & v_{g}(t)=R_{i}^{T}gt\\ \dot{p}_{v}(t) & = & v_{a}(t) \end{eqnarray*} @@ -1096,7 +1105,7 @@ Predict the NavState from \begin_inset Formula \[ -X_{j}=\mathcal{R}_{X_{i}}(\zeta(t_{ij}))=\left\{ \Phi_{R_{0}}\left(\theta(t_{ij})\right),P_{i}+V_{i}t_{ij}+\frac{gt_{ij}^{2}}{2}+R_{i}\, p_{v}(t_{ij}),V_{i}+gt_{ij}+R_{i}\, v_{a}(t_{ij})\right\} +X_{j}=\mathcal{R}_{X_{i}}(\zeta(t_{ij}))=\left\{ \Phi_{R_{0}}\left(\theta(t_{ij})\right),P_{i}+V_{i}t_{ij}+\frac{gt_{ij}^{2}}{2}+R_{i}\,p_{v}(t_{ij}),V_{i}+gt_{ij}+R_{i}\,v_{a}(t_{ij})\right\} \] \end_inset @@ -1372,7 +1381,7 @@ B_{k}=\left[\begin{array}{c} 0_{3\times3}\\ R_{k}\frac{\Delta_{t}}{2}^{2}\\ R_{k}\Delta_{t} -\end{array}\right],\,\,\,\, C_{k}=\left[\begin{array}{c} +\end{array}\right],\,\,\,\,C_{k}=\left[\begin{array}{c} H(\theta_{k})^{-1}\Delta_{t}\\ 0_{3\times3}\\ 0_{3\times3} @@ -1382,6 +1391,147 @@ H(\theta_{k})^{-1}\Delta_{t}\\ \end_inset +\end_layout + +\begin_layout Subsubsection* +Units +\end_layout + +\begin_layout Standard +The units of the IMU are as follows: +\end_layout + +\begin_layout Standard +\begin_inset Tabular + + + + + + +\begin_inset Text + +\begin_layout Plain Layout +Parameter +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +Units +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +gyro_noise_sigma +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Formula $rad/s/\sqrt{Hz}$ +\end_inset + + +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +accel_noise_sigma +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Formula $m/s^{2}/\sqrt{Hz}$ +\end_inset + + +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +gyro_bias_rw_sigma +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Formula $rad/s$ +\end_inset + + or +\begin_inset Formula $rad\sqrt{Hz}/s$ +\end_inset + + +\end_layout + +\end_inset + + + + +\begin_inset Text + +\begin_layout Plain Layout +accel_bias_rw_sigma +\end_layout + +\end_inset + + +\begin_inset Text + +\begin_layout Plain Layout +\begin_inset Formula $m/s^{2}$ +\end_inset + +or +\begin_inset Formula $m\sqrt{Hz}/s^{2}$ +\end_inset + + +\end_layout + +\end_inset + + + + +\end_inset + + \end_layout \begin_layout Standard diff --git a/doc/ImuFactor.pdf b/doc/ImuFactor.pdf index 0b13c1f5948de38aa6454732ca20367cc630c62c..adec08aa3e0e689a9e494b1fc0a21aecc06b2368 100644 GIT binary patch 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J4MR Date: Mon, 30 Nov 2020 22:41:21 -0500 Subject: [PATCH 2/5] formatting --- cmake/GtsamTesting.cmake | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/cmake/GtsamTesting.cmake b/cmake/GtsamTesting.cmake index 3b42ffa215..4f32d90a5f 100644 --- a/cmake/GtsamTesting.cmake +++ b/cmake/GtsamTesting.cmake @@ -88,7 +88,7 @@ enable_testing() option(GTSAM_BUILD_TESTS "Enable/Disable building of tests" ON) option(GTSAM_BUILD_EXAMPLES_ALWAYS "Build examples with 'make all' (build with 'make examples' if not)" ON) - option(GTSAM_BUILD_TIMING_ALWAYS "Build timing scripts with 'make all' (build with 'make timing' if not" OFF) +option(GTSAM_BUILD_TIMING_ALWAYS "Build timing scripts with 'make all' (build with 'make timing' if not" OFF) # Add option for combining unit tests if(MSVC OR XCODE_VERSION) From 1bf7588f72de0d624efdab11de475d9d94aa16ab Mon Sep 17 00:00:00 2001 From: Varun Agrawal Date: Tue, 1 Dec 2020 12:02:44 -0500 Subject: [PATCH 3/5] Revert "added Imu parameter units to doc" This reverts commit 845b6c55b3dc86a4172b480b1fb50a8ac4b5cb7d. --- doc/ImuFactor.lyx | 180 ++++------------------------------------------ doc/ImuFactor.pdf | Bin 176165 -> 198168 bytes 2 files changed, 15 insertions(+), 165 deletions(-) diff --git a/doc/ImuFactor.lyx b/doc/ImuFactor.lyx index 55b7201e53..0922a3e9c7 100644 --- a/doc/ImuFactor.lyx +++ b/doc/ImuFactor.lyx @@ -1,5 +1,5 @@ -#LyX 2.1 created this file. For more info see http://www.lyx.org/ -\lyxformat 474 +#LyX 2.0 created this file. For more info see http://www.lyx.org/ +\lyxformat 413 \begin_document \begin_header \textclass article @@ -12,13 +12,13 @@ \font_roman default \font_sans default \font_typewriter default -\font_math auto \font_default_family default \use_non_tex_fonts false \font_sc false \font_osf false \font_sf_scale 100 \font_tt_scale 100 + \graphics default \default_output_format default \output_sync 0 @@ -29,24 +29,15 @@ \use_hyperref false \papersize default \use_geometry true -\use_package amsmath 1 -\use_package amssymb 1 -\use_package cancel 1 -\use_package esint 1 -\use_package mathdots 1 -\use_package mathtools 1 -\use_package mhchem 1 -\use_package stackrel 1 -\use_package stmaryrd 1 -\use_package undertilde 1 +\use_amsmath 1 +\use_esint 1 +\use_mhchem 1 +\use_mathdots 1 \cite_engine basic -\cite_engine_type default -\biblio_style plain \use_bibtopic false \use_indices false \paperorientation portrait \suppress_date false -\justification true \use_refstyle 1 \index Index \shortcut idx @@ -253,7 +244,7 @@ X(t)=\left\{ R_{0},P_{0}+V_{0}t,V_{0}\right\} then the differential equation describing the trajectory is \begin_inset Formula \[ -\dot{X}(t)=\left[0_{3x3},V_{0},0_{3x1}\right],\,\,\,\,\,X(0)=\left\{ R_{0},P_{0},V_{0}\right\} +\dot{X}(t)=\left[0_{3x3},V_{0},0_{3x1}\right],\,\,\,\,\, X(0)=\left\{ R_{0},P_{0},V_{0}\right\} \] \end_inset @@ -611,7 +602,7 @@ key "Iserles00an" , \begin_inset Formula \begin{equation} -\dot{R}(t)=F(R,t),\,\,\,\,R(0)=R_{0}\label{eq:diffSo3} +\dot{R}(t)=F(R,t),\,\,\,\, R(0)=R_{0}\label{eq:diffSo3} \end{equation} \end_inset @@ -956,8 +947,8 @@ Or, as another way to state this, if we solve the differential equations \begin_inset Formula \begin{eqnarray*} \dot{\theta}(t) & = & H(\theta)^{-1}\,\omega^{b}(t)\\ -\dot{p}(t) & = & R_{0}^{T}\,V_{0}+v(t)\\ -\dot{v}(t) & = & R_{0}^{T}\,g+R_{b}^{0}(t)a^{b}(t) +\dot{p}(t) & = & R_{0}^{T}\, V_{0}+v(t)\\ +\dot{v}(t) & = & R_{0}^{T}\, g+R_{b}^{0}(t)a^{b}(t) \end{eqnarray*} \end_inset @@ -1024,7 +1015,7 @@ v(t)=v_{g}(t)+v_{a}(t) evolving as \begin_inset Formula \begin{eqnarray*} -\dot{v}_{g}(t) & = & R_{i}^{T}\,g\\ +\dot{v}_{g}(t) & = & R_{i}^{T}\, g\\ \dot{v}_{a}(t) & = & R_{b}^{i}(t)a^{b}(t) \end{eqnarray*} @@ -1050,7 +1041,7 @@ p(t)=p_{i}(t)+p_{g}(t)+p_{v}(t) evolving as \begin_inset Formula \begin{eqnarray*} -\dot{p}_{i}(t) & = & R_{i}^{T}\,V_{i}\\ +\dot{p}_{i}(t) & = & R_{i}^{T}\, V_{i}\\ \dot{p}_{g}(t) & = & v_{g}(t)=R_{i}^{T}gt\\ \dot{p}_{v}(t) & = & v_{a}(t) \end{eqnarray*} @@ -1105,7 +1096,7 @@ Predict the NavState from \begin_inset Formula \[ -X_{j}=\mathcal{R}_{X_{i}}(\zeta(t_{ij}))=\left\{ \Phi_{R_{0}}\left(\theta(t_{ij})\right),P_{i}+V_{i}t_{ij}+\frac{gt_{ij}^{2}}{2}+R_{i}\,p_{v}(t_{ij}),V_{i}+gt_{ij}+R_{i}\,v_{a}(t_{ij})\right\} +X_{j}=\mathcal{R}_{X_{i}}(\zeta(t_{ij}))=\left\{ \Phi_{R_{0}}\left(\theta(t_{ij})\right),P_{i}+V_{i}t_{ij}+\frac{gt_{ij}^{2}}{2}+R_{i}\, p_{v}(t_{ij}),V_{i}+gt_{ij}+R_{i}\, v_{a}(t_{ij})\right\} \] \end_inset @@ -1381,7 +1372,7 @@ B_{k}=\left[\begin{array}{c} 0_{3\times3}\\ R_{k}\frac{\Delta_{t}}{2}^{2}\\ R_{k}\Delta_{t} -\end{array}\right],\,\,\,\,C_{k}=\left[\begin{array}{c} +\end{array}\right],\,\,\,\, C_{k}=\left[\begin{array}{c} H(\theta_{k})^{-1}\Delta_{t}\\ 0_{3\times3}\\ 0_{3\times3} @@ -1391,147 +1382,6 @@ H(\theta_{k})^{-1}\Delta_{t}\\ \end_inset -\end_layout - -\begin_layout Subsubsection* -Units -\end_layout - -\begin_layout Standard -The units of the IMU are as follows: -\end_layout - -\begin_layout Standard -\begin_inset Tabular - - - - - - -\begin_inset Text - -\begin_layout Plain Layout -Parameter -\end_layout - -\end_inset - - -\begin_inset Text - -\begin_layout Plain Layout -Units -\end_layout - -\end_inset - - - - -\begin_inset Text - -\begin_layout Plain Layout -gyro_noise_sigma -\end_layout - -\end_inset - - -\begin_inset Text - -\begin_layout Plain Layout -\begin_inset Formula $rad/s/\sqrt{Hz}$ -\end_inset - - -\end_layout - -\end_inset - - - - -\begin_inset Text - -\begin_layout Plain Layout -accel_noise_sigma -\end_layout - -\end_inset - - -\begin_inset Text - -\begin_layout Plain Layout -\begin_inset Formula $m/s^{2}/\sqrt{Hz}$ -\end_inset - - -\end_layout - -\end_inset - - - - -\begin_inset Text - -\begin_layout Plain Layout -gyro_bias_rw_sigma -\end_layout - -\end_inset - - -\begin_inset Text - -\begin_layout Plain Layout -\begin_inset Formula $rad/s$ -\end_inset - - or -\begin_inset Formula $rad\sqrt{Hz}/s$ -\end_inset - - -\end_layout - -\end_inset - - - - -\begin_inset Text - -\begin_layout Plain Layout -accel_bias_rw_sigma -\end_layout - -\end_inset - - -\begin_inset Text - -\begin_layout Plain Layout -\begin_inset Formula $m/s^{2}$ -\end_inset - -or -\begin_inset Formula $m\sqrt{Hz}/s^{2}$ -\end_inset - - -\end_layout - -\end_inset - - - - -\end_inset - - \end_layout \begin_layout Standard diff --git a/doc/ImuFactor.pdf b/doc/ImuFactor.pdf index adec08aa3e0e689a9e494b1fc0a21aecc06b2368..0b13c1f5948de38aa6454732ca20367cc630c62c 100644 GIT binary patch delta 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z-pc0-S%?M~@VI5hC*(bYFxaUJD*@)wpouHvDR%7_4rYF6`QwMLNs`!8>g@nki3%C) z!@V@c-RND?{4&nUj}~;^-xZG9t8h_my;*l#w3R{#$I0I%+!oofc+!5C$T-0_fBijQ zS6c-m#{_OWYukoQ>5nFQs2A~_!*vhqqj-42NjVRW>aG2O0@A&ZPYhNom9lenCA4&W* z4y!AOx>$nOo6fSPJKlI!G7xwzKuuZBHf$?~umLNukQ}oD8!Arh2n{*W7 z*lrCJ&iM|a$cZevS)r`#nEgJ@2QC;cWM4P|_JBU6;3uYh$l``DL2;W#6r$u*n#xd# z`g-aLo1vNfA!|$BQ}kinDhZp06f}h*RWKEj<4# zKr6guTC7U`wZv;na%!I0q4xchra^4t{rgfTZvO-QdS!b{{8F~Y?n7A!Y<`{ak)_xk z2YH9B*l#Ryw|ZmK$an!g_R>jd17_{4gTm^9$>1#*3o)HPujs Date: Tue, 1 Dec 2020 12:02:56 -0500 Subject: [PATCH 4/5] Revert "formatting" This reverts commit 31bf4b38ca2c31e355ec628169874d919845862d. --- cmake/GtsamTesting.cmake | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/cmake/GtsamTesting.cmake b/cmake/GtsamTesting.cmake index 4f32d90a5f..3b42ffa215 100644 --- a/cmake/GtsamTesting.cmake +++ b/cmake/GtsamTesting.cmake @@ -88,7 +88,7 @@ enable_testing() option(GTSAM_BUILD_TESTS "Enable/Disable building of tests" ON) option(GTSAM_BUILD_EXAMPLES_ALWAYS "Build examples with 'make all' (build with 'make examples' if not)" ON) -option(GTSAM_BUILD_TIMING_ALWAYS "Build timing scripts with 'make all' (build with 'make timing' if not" OFF) + option(GTSAM_BUILD_TIMING_ALWAYS "Build timing scripts with 'make all' (build with 'make timing' if not" OFF) # Add option for combining unit tests if(MSVC OR XCODE_VERSION) From a4d443efe913a6bb62228b15dc972441d36e6b3d Mon Sep 17 00:00:00 2001 From: Varun Agrawal Date: Tue, 1 Dec 2020 12:14:57 -0500 Subject: [PATCH 5/5] Added units for imu noise and bias sigmas --- gtsam/navigation/ImuBias.h | 4 ++-- gtsam/navigation/PreintegratedRotation.h | 4 +++- gtsam/navigation/PreintegrationParams.h | 4 +++- 3 files changed, 8 insertions(+), 4 deletions(-) diff --git a/gtsam/navigation/ImuBias.h b/gtsam/navigation/ImuBias.h index d52b4eb298..fad952232f 100644 --- a/gtsam/navigation/ImuBias.h +++ b/gtsam/navigation/ImuBias.h @@ -29,8 +29,8 @@ namespace imuBias { class GTSAM_EXPORT ConstantBias { private: - Vector3 biasAcc_; - Vector3 biasGyro_; + Vector3 biasAcc_; ///< The units for stddev are σ = m/s² or m √Hz/s² + Vector3 biasGyro_; ///< The units for stddev are σ = rad/s or rad √Hz/s public: /// dimension of the variable - used to autodetect sizes diff --git a/gtsam/navigation/PreintegratedRotation.h b/gtsam/navigation/PreintegratedRotation.h index 0e0559a32d..e52d28e1ef 100644 --- a/gtsam/navigation/PreintegratedRotation.h +++ b/gtsam/navigation/PreintegratedRotation.h @@ -29,7 +29,9 @@ namespace gtsam { /// Parameters for pre-integration: /// Usage: Create just a single Params and pass a shared pointer to the constructor struct GTSAM_EXPORT PreintegratedRotationParams { - Matrix3 gyroscopeCovariance; ///< continuous-time "Covariance" of gyroscope measurements + /// Continuous-time "Covariance" of gyroscope measurements + /// The units for stddev are σ = rad/s/√Hz + Matrix3 gyroscopeCovariance; boost::optional omegaCoriolis; ///< Coriolis constant boost::optional body_P_sensor; ///< The pose of the sensor in the body frame diff --git a/gtsam/navigation/PreintegrationParams.h b/gtsam/navigation/PreintegrationParams.h index ce1f0e7346..960f67e249 100644 --- a/gtsam/navigation/PreintegrationParams.h +++ b/gtsam/navigation/PreintegrationParams.h @@ -24,7 +24,9 @@ namespace gtsam { /// Parameters for pre-integration: /// Usage: Create just a single Params and pass a shared pointer to the constructor struct GTSAM_EXPORT PreintegrationParams: PreintegratedRotationParams { - Matrix3 accelerometerCovariance; ///< continuous-time "Covariance" of accelerometer + /// Continuous-time "Covariance" of accelerometer + /// The units for stddev are σ = m/s²/√Hz + Matrix3 accelerometerCovariance; Matrix3 integrationCovariance; ///< continuous-time "Covariance" describing integration uncertainty bool use2ndOrderCoriolis; ///< Whether to use second order Coriolis integration Vector3 n_gravity; ///< Gravity vector in nav frame