Iterative total least squares filter in robot navigation

In the robot navigation problem, noisy sensor data must be ltered to obtain the best estimate of the robot position. The discrete Kalman lter, which usually is used for prediction and detection of signal in communication and control problems has become a commonly used method to reduce the e ect of uncertainty from the sensor data. However, due to the special domain of robot navigation, the Kalman approach is very limited. Here we propose the use of a Iterative Total Least Squares Filter which is solved by applying the Lanczos bidiagonalization process. This lter is very promising for very large data information and from our experiments we can obtain more precise accuracy than the Kalman lter.