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0 pointsKK7NIL1y ago0 comments

You are correct, I forgot to separate between long-term and short-term random effects.

Short-term random effects (as in, the part of the gyro's random walk error significantly higher in frequency than the inverse of the integration period) will get cancelled out by integration, assuming they're Gaussian.

Long-term random effects (mainly from time and temperature like you mentioned) will instead tend accumulate with integration aka worsening with time.

P.S. great fan of your many ventures into retro tech, keep them coming!

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kragen1y ago

that was not what you forgot and your summary is still wrong. kens is correct. i suggest programming some simple simulations using a random number generator to get a better feel for the space

KK7NILOP1y ago

Would you like to expand on what I missed and how my summary is still wrong? Genuinely asking.

rcxdude1y ago

try it: take gaussian white noise with zero mean and integrate it twice. You'll see the signal does not stay close to zero, in fact it will drift arbitrarily far away from it over time (it's only necessary to integrate once for this to be true, but doing it twice as an IMU needs to will make it more obvious).

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kens1y ago

One can't cancel out random errors by integrating. You should take kragen's suggestion and write a quick simulation. To make this concrete, flip a coin 10 times. Take a step to the left for heads and a step to the right for tails. Most of the time you won't end up where you started, i.e. you have residual error.

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0 pointsKK7NIL1y ago0 comments

You are correct, I forgot to separate between long-term and short-term random effects.

Long-term random effects (mainly from time and temperature like you mentioned) will instead tend accumulate with integration aka worsening with time.

P.S. great fan of your many ventures into retro tech, keep them coming!

0 comments

kragen1y ago

that was not what you forgot and your summary is still wrong. kens is correct. i suggest programming some simple simulations using a random number generator to get a better feel for the space

KK7NILOP1y ago

Would you like to expand on what I missed and how my summary is still wrong? Genuinely asking.

rcxdude1y ago

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kens1y ago

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