Tutorvo

Sensor Fusion: Two Sensors with Different Noise, Sequential Updates and the Fused Estimate

Lesson 6 of 815 minLab

This lesson is part of the course

In this lesson

You fuse a noisy and a precise level sensor in one filter step by two sequential updates, then reach the same estimate and variance in one go with inverse-variance weights.

Buy the course once for $9.99 to unlock every lesson and lab, the final exam and the certificate – lifetime access, no subscription.

Lessons in this course

  1. Noisy Measurements: True Value vs Readings and the Running Average as a Recursive UpdateLab14 min Locked
  2. Variances and Weighting: Inverse-Variance Weights, Combining Two Readings and the Uncertainty After CombiningLab15 min Locked
  3. The 1-D Filter: Predict, the Kalman Gain K = P/(P+R) and Update in a Step TableLab17 min Locked
  4. Process Noise: Q vs R, How the Gain Settles, and Lag vs Noise in a ChartLab16 min Locked
  5. Constant-Velocity Model: Position and Velocity States and the 2×2 Covariance as Four CellsLab18 min Locked
  6. Sensor Fusion: Two Sensors with Different Noise, Sequential Updates and the Fused EstimateLab15 min Locked
  7. Missing and Outlier Readings: Skipping the Update and a Gating Rule on the InnovationLab16 min Locked
  8. Tuning & Comparison: RMSE for Several Q/R Pairs vs a Moving Average and an Alpha–Beta FilterLab18 min Locked