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Table 2 Singular values and spectrum conditions of K

From: A stable realization of apodization filtering applied to noise SAR and SAR range sidelobe suppression

Noise SAR

Filter length

300

600

900

1200

1500

1800

2100

2400

2700

3000

 

σ max

14.02

17.46

18.19

20.03

19.58

20.26

20.21

20.77

20.35

20.86

 

σmin (10-10)

3.78

1.73

1.55

0.92

0.69

0.65

0.48

0.43

0.37

0.36

 

κ(K) (1010)

3.71

10.09

11.73

21.77

28.38

31.17

42.10

48.30

54.86

57.93

General SAR

Filter length

300

400

500

600

700

800

900

1000

1100

1200

 

σ max

22.57

23.19

23.55

23.76

23.91

23.99

24.07

24.12

24.16

24.19

 

σmin (10-10)

1.87

1.73

1.65

1.54

1.38

1.31

1.26

1.20

1.11

1.07

 

κ(K) (1010)

12.07

13.40

14.27

15.42

17.33

18.31

19.10

20.10

21.76

22.61