Research Article

Highly Efficient Sigma Point Filter for Spacecraft Attitude and Rate Estimation

Table 3

Comparisons of total arithmetic operations.

AlgorithmPhase Multiplies Adds Square
roots

MEKFPropagation 350 270 2
Measurement update 260 185 1
One full filter step*610 455 3
One observation circle 1680 1265 9

MGSPFPropagation 350 285 5
Measurement update 380 280 1
One full filter step750 565 6
One observation circle1860 1480 21

SSUKFPropagation 810 565 8
Measurement update 455 370 1
One full filter step1265 935 9
One observation circle3695 2630 33

Including 1 propagation step and 1 measurement update step.
Including several propagation steps and 1 measurement update step. In this case we take a typical value as 4 propagations for each 1 update.