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Table 5 Comparison of the filter accuracy and time cost for different algorithms in one-dimensional nonlinear system

From: Confidence partitioning sampling filtering

Algorithms

Parameters

RMSE

Sampling number

Time (s)

EKF

–

12.34

–

1.97 × 10–9

PF

500

4.727

500

8.46 × 10–4

 

1000

4.676

1000

2.47 × 10–3

SI_CPSF \(\left( {{\alpha \mathord{\left/ {\vphantom {\alpha \tau }} \right. \kern-0pt} \tau }} \right)\)

    

10–4

0.8

4.671

20

1.06 × 10–5

 

0.3

4.631

47

1.19 × 10–4

10–7

0.8

4.631

23

7.67 × 10–5

 

0.3

4.618

61

1.45 × 10–4