Unit of Velocity from a Random Walk measured by an accelerometer

[hoddy]

TL;DR Summary

Hi, I am working on a kalman filter where my measurement equation involves "-g + v" , where g is in m/s^2 and v is velocity random walk given in m/s/sqrt(hr). Feels like a stupid question, but how can I transform the unit of velocity random walk so I can do the calculation correctly?

Hi, I am working on a kalman filter where my measurement equation involves "-g + v" , where g is in m/s^2 and v is velocity random walk given in m/s/sqrt(hr). Feels like a stupid question, but how can I transform the unit of velocity random walk so I can do the calculation correctly?

 

[tnich]

Summary: Hi, I am working on a kalman filter where my measurement equation involves "-g + v" , where g is in m/s^2 and v is velocity random walk given in m/s/sqrt(hr). Feels like a stupid question, but how can I transform the unit of velocity random walk so I can do the calculation correctly?

Hi, I am working on a kalman filter where my measurement equation involves "-g + v" , where g is in m/s^2 and v is velocity random walk given in m/s/sqrt(hr). Feels like a stupid question, but how can I transform the unit of velocity random walk so I can do the calculation correctly?

It looks to me as though you are trying to add quantities with incommensurate units. $g$ has units of acceleration, and $v$ has units that are neither velocity or acceleration. That suggests that there is an error somewhere in the derivation of the $-g+v$ term. Maybe you have assumed that some variable has a value of $1$, and forgotten to carry along its units.

 

[tnich]

Also, I wonder why you are including your random walk process in the measurement equation rather than in the state propagation equation?