20131127

MWE2013

LPF)

HPH)

BPF)BEF)

3

4

5

6

7

8

(f0BW)

-value

QQek

()

G

NG

9

-30

10

1.45 1.55

S11dB

S21dB

0dB

10

(n)o(BW)(LAr)

110 10 ArL

2

2

10

1log10RL

BW

2arccoshcosh1log10Att

022

10

ffn

(dB)

(dB)

11

g-valuen

,

2sinh

2sin2

1

0

1

n

n

gg

,2,1,

sin2

sinh

2

12sin

2

12sin4

1

221

i

n

i

n

n

i

n

i

gg

i

i

even:

4coth

1

odd:

2

0

0

1 ng

ng

gn

11

11ln

2

2

Qf0BW

BW,

BW

012

0101

fggQ

fggQ nnee

,2,1,BW1

01

1,

ifgg

kii

iif0 f0 f0

Qe1 Qe2k12 k23

LPFBPF

12

11 gR

L L

1

2

0

1

1

gRC

L

22

1g

RC

L

2

2

0

2

1

g

RL L

RL

RLRL

13

J01 J12

R0 R1 C1 L1 R2 C2 L2

Jn,n+1 R0

BPFBPF

R0 R2 C2 L2

R0

R1 C1L1

20

1,

10

101 ,

e

nnn

e QR

BJ

QR

BJ ,2,1,11,1, iBBkJ iiiiii

i

ii

L

CB

14

R1 C1 L1

-C12 -C12

C12 R2 C2 L2

J12 = C12

J01 J12

R0 R1 C1 L1 R2 C2 L2

Jn,n+1 R0

J01

R0 R1 L1 R2 L2

Jn,n+1 R0

C12 C2-C12C1-C12

J

J

15

R0 R C LCe1 -C01

1

00

10

0

0

01

1

00

10

0

0

1

11

11

ee

ee

e

Q

BR

QR

BC

Q

BR

QR

BC

L

CB 0

R0 R1 L1 R2 L2

R0

C12

C2-C12Ce1-C01-C12

Ce1

1

16

-60

-50

-40

-30

-20

-10

0

1.4 1.45 1.5 1.55 1.6

S21

[dB

]

[GHz]

-60

-50

-40

-30

1.55 1.6

S21

[dB

]

[GHz]

C

L

(BPF)

L

-L-L

-C

C

-C

TM110

17

L

-L -L

K

L

-L-LJ

18

EXCEL)

Q

EXCEL)

19

20

(Gigafil)

4

l

3mm

1mm

92

7.34

Q 340

21

Ce1 C12 C23 Ce2

Za,q1 Za,q2 Za,q3

22

g

QQek

GNG

23

Q Qe1 = Qe2 64.47

k12 = k23 1.471%

f0 1500MHz

BW 15MHz

Att 25dB at f050MHz

IL 4dB

RL 15dB

f0 1500MHz

n 3

LAr 0.1dB

BW 24MHz

24

q tanajZZ

q,aZ

R C L

aZC

04

0

4 QZR a

0

4

a

ZL

aa ZZB

4tan

1

20

00

q

,2,1,11,1,1, iBBkCJ iiiiiiii

Ce1 C12 C23 Ce2

25

R1 C1 L1

-C12 -C12

C12 R2 C2 L2

J12 = C12

J01 J12

R0 R1 C1 L1 R2 C2 L2

Jn,n+1 R0

R0

R0

C12

J

-C12 -C12J01 Jn,n+1

26

C e1 C 12 C 23 C e2

-C 01 -C 34-C 12 -C 23

Za, q Za, q Za, q

3,2,1,2

12 0

1,,1

0

q

i

B

CC iiiii

JC

Ce1 C12 C23 Ce2

Za, q1 Za, q2 Za, q3

27

S11 S21

Ce1 C12 C23 Ce2

Za,q 1 Za,q 2 Za,q 3Ce1 = Ce2 0.6384 pF

C12 = C23 0.1670 pF

1 87.02deg (l = 5.040mm)

2 88.68deg (l = 5.136mm)

3 87.02deg (l = 5.040mm)

28

Ce1 C12 C23 Ce2

Zx1 Zx2 Zx3

29

S11 S21Ce1 C12 C23 Ce2

Zx1 Zx2 Zx3

0.7nH 0.02pF 0.5pF

0.04nH

30

Ce1 C12 C23 Ce2

Zx1 Zx2 Zx3

0.7nH 0.02pF 0.5pF

0.04nH

Ce1 = Ce2 0.6384 pF 0.6720pF

C12 = C23 0.1670 pF 0.1535pF

l1 5.040mm 5.034mm

l2 5.136mm 5.125mm

l3 5.040mm 5.034mm

31

-40

JBPF

32

EXCEL)

Q

EXCEL)

33

34

10S

3

L

P

1mm4.0:0.01

52 15

40

52 X 40 X 15mm

35

(f0BW)

-value

QQek

()

G

NG

36

f0 2000MHz

BW 100MHz

Att1 30dB at 1600MHz

Att2 30dB at 2400MHz

f0 2000MHz

BW 155MHz

n 3

LAr 0.1dB

Q Qe1 = Qe2 13.29

k12 = k23 7.13%

3

Femtet

o

QQe

37

38

L

L (mm)

(MHz)

19.83mm

39

P

P (mm)

Q

4.20mm

13.29

S21

3dB f1 f2

Qe2 >> Qe1S21

Qe1 QL = 2(f2-f1)/(f1+f2)

Qe2

Qe1

40

S

S (mm)

(%)

1.01mm

7.13%

f1 f2

k = 2(f2-f1)/(f1+f2)

41

S11S21

1.01

19.83

4.2

(S11)

(MHz)

2000.0 2022.0

3dB(MHz) 216.7 171.9

42

1.010.80

19.83

4.2

43

Q 0.80

19.83

4.204.63

44

0.80

19.8319.95

4.63

47

f1,f3

f1,f2,f3

f1 f2 f3

/.avi/.avi/.avi

48

0.80

19.95

4.63

19.9519.99mm

S11 S21

(f0)(k)Q(Qe)

f0kQe

f03dB

Qe

f0

49

50

L

51

52

(4.63GHz)

3Femtet

n

i i

i

Q

g

f1

0

BW

343.4IL(dB)

53

(IL)

Q

54

tan

(t=10um)

2Femtet

Q

2

55

G. Matthaei, L. Young and E. M. T. Jones, Microwave Filters, Impedance Matching Networks, and Coupling Structures, Artech House, Norwood MA, 1980.

, , , 1994.

, , , , , 2007.

, , , , 1974

56

57

58