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Table 4 Computational complexity of KF-based and FOSB-based tracking schemes

From: A reduced-complexity scheme using message passing for location tracking

Tracking Algorithms

Number of Multiplications and Division

Number of Additions and Subtractions

Inverse Operation

Transpose

Operations

KF

(X, Y)

S(3S2+3SP+2P2)

⇒ 320

3S3+S2(3P-2)+S(2P2-3P)+P

⇒ 266

[ ]P × P

⇒ [ ]2 × 2

[ ]S × S, [ ]S × P

⇒ [ ]4 × 4, [ ]4 × 2

KF decoupling

(X, Y)

40 × 2 = 80

27 × 2 = 54

/

2:[ ]S × S, 2:[ ]S × P

⇒ 2:[ ]2 × 2, 2:[ ]2 × 1

KF decoupling

(X, Y)

13 × 2 = 26

(0 or 1 eliminated)

16 × 2 = 32

(0 eliminated)

/

/

FOSB (X, Y)

15 × 2 = 30

9 × 2 = 18

/

/

  1. S: States of the System (S = 4) P: Inputs of the System (P = 2)