Dear All,
I got a Kalman filter programming task and I’m new about it, I’ve read a lot but no idea how to start with the equations:
The task is following:
An objectum is moving on straight line with changing speed and accelars what we can not measure. We can measure the position and time. Our measurement system is no correct, the measured values have noises. We know the initial values:
s = 0
v = 20 m / s
a = 5 m / s ^ 2
We do not know how velocity and acceleration will change in the future.
The task is to estimate the position of the objectum in all time with the Kalman Filter.
Please help me out.
Best Regards,
Zoltan
input:
time;position
0;0,00
0,1;1,65
0,2;3,86
0,3;5,91
0,4;8,46
0,5;10,89
0,6;12,83
0,7;15,02
0,8;17,58
0,9;19,36
1;22,76
1,1;24,41
1,2;27,08
1,3;31,43
1,4;32,52
1,5;35,76
1,6;39,08
1,7;41,44
1,8;44,05
1,9;46,48
2;50,28
2,1;51,36
2,2;55,76
2,3;57,32
2,4;62,06
2,5;65,56
2,6;67,66
2,7;71,98
2,8;74,51
2,9;76,61
3;80,02