Skip to main content

Table 6 Model A resolution information

From: Co-estimation of geomagnetic field and in-orbit fluxgate magnetometer calibration parameters

  

Time-dep. internal

All

Data subset/Norm

\(N_i\)

Tr(\({\tilde{R}}_i\))

%

Tr(\(R_i\))

%

CHAMP

1 132 075

881.48

8.0%

2993.49

13.8%

Swarm A and B

1 390 766

601.19

5.5%

1443.54

6.7%

Observatories

1 786 944

186.72

1.7%

186.72

0.9%

Cryosat and DMSP

7 722 827

210.44

1.9%

7598.06

35.2%

Subtotal

12 032 612

1879.83

17.1%

12 221.81

56.6%

\(\Lambda\)

11 820

9085.17

82.9%

9 383.19

43.4%

Total

12 044 432

10 965.00

100.0%

21 605.00

100.0%

  1. For data subsets, \(N_i\) is the number of data in subset i. For the regularization norm \(\Lambda\), \(N_i = \text {rank}(\Lambda )\). The matrices \({\tilde{R}}_i\) refer to the diagonal block of \(R_i\) corresponding to the time-dependent internal field parameters. Tr is the trace operator