Lumped Elements for RF and Microwave Circuits phần 1 pdf
Lumped Elements for RF and Microwave Circuits phần 1 pdf
... xix
1 Introduction 1
1 .1 History of Lumped Elements 1
1.2 Why Use Lumped Elements for RF and
Microwave Circuits? 2
1. 3 L, C, R Circuit Elements 4
1. 4 Basic Design of Lumped Elements 6
1. 4 .1 Capacitor ... 14 Lumped Elements for RF and Microwave Circuits
[13 ] Pengelly, R. S., and J. S. Turner, ‘‘Monolithic Broadband GaAs FET Amplifiers,’’...
Lumped Elements for RF and Microwave Circuits phần 2 pot
... in RFICs.
At low frequencies, the total dc resistance of the coil is given by
R
dc
=
ᐉ
Wt
(3 .1)
32 Lumped Elements for RF and Microwave Circuits
Y ′
11
= Y
11
−
(Y
12
+ Y
14
)(Y
21
+ Y
41
)
Y
22
+ ... ′
13
Y ′
31
Y ′
33
ͬͫ
V
1
V
3
ͬ
(2.22)
where
78 Lumped Elements for RF and Microwave Circuits
f
res
=
1
2
√
LC
p
(3.6)
For L = 8nHandC
p
=...
Lumped Elements for RF and Microwave Circuits phần 3 ppsx
... 10 1. 0 0.4 14 0.7 0 .1 1,579 31 1. 61
8 4 10 1. 0 0.4 23 1. 7 0.3 3 ,18 1 26 0. 81
9 2 10 2.0 0.4 10 1. 2 0 .1 1 ,16 3 30 1. 44
10 4 10 2.0 0.4 19 2.9 0.3 2,8 91 21 0.68
11 2 10 0.4 0.6 17 0.6 0.2 1, 142 19 ... 0.2 1, 537 21 1.34
24 4 10 0.4 0.8 34 1. 4 0.8 5,455 23 0.74
25 2 4 1. 0 1. 0 8 0.9 0 .1 9 51 33 1. 84
26 2 6 1. 0 1. 0 12 1. 1 0 .1 1,479 32 1...
Lumped Elements for RF and Microwave Circuits phần 4 ppsx
... 0.0343 11 .0
18 1. 024, 40.3 1. 062, 41. 8 0.0220 16 .0
16 1. 290, 50.8 1. 3 31, 52.4 0. 015 2 22.0
14 1. 628, 64 .1 1.674, 65.9 0.0086 32.0
12 2.052, 80.8 2 .10 1, 82.7 0.0055 41. 0
10 2.588, 10 1.9 2.639, 10 3.9 ... 10 .0 0.274, 10 .8 0.3385 0.86
28 0.320, 12 .6 0.343, 13 .5 0. 212 9 1. 40
26 0.404, 15 .9 0.429, 16 .9 0 .13 39 2.20
24 0. 511 , 20 .1 0.5 41, 21. 3 0.08...
Lumped Elements for RF and Microwave Circuits phần 5 pot
... (−
1
/2) + B
11
cos (−
1
/2)
B
12
sin (−
2
/2)
(7 .10 )
1
= M
1
+ tan
−
1
ͭ
2
B
11
+ B
22
|
B
|
1 + B
2
22
− B
2
11
−
|
B
2
|
ͮ
(7 .11 a)
2
= M
2
+ tan
−
1
ͭ
2
B
22
+ B
11
|
B
|
1 ... tan
−
1
ͭ
2
B
22
+ B
11
|
B
|
1 + B
2
11
− B
2
22
−
|
B
|
2
ͮ
(7 .11 b)
where
B
11
= B
11
/Y
1
, B
22
= B
22
/Y
2
, B
12
= B
12
/
√
Y
1
Y
2...
Lumped Elements for RF and Microwave Circuits phần 6 pot
... (m
2
) W = ᐉ (mm)
10 0.29 × 10
−
6
0.539
20 0.58 × 10
−
6
0.762
50 1. 45 × 10
−
6
1. 204
10 0 2.90 × 10
−
6
1. 703
200 5.80 × 10
−
6
2.408
250 Lumped Elements for RF and Microwave Circuits
material, ... = 15 mil; and (d) double via, h = 25 mil. (From: [20]. 19 92 IEEE.
Reprinted with permission.)
252 Lumped Elements for RF and Microwave Circuits...
Lumped Elements for RF and Microwave Circuits phần 7 docx
... [16 ] and shown in Figure
10 .11 . Here
302 Lumped Elements for RF and Microwave Circuits
˜
(

,0)= 0 (10 .1a)
˜
(

, h
′
4
) = 0 (10 .1b)
˜
(

, h
1
+ 0) =
˜
(

, h
1
− 0) (10 .1c)
⑀
r1
d
dy
˜
(

, ... (11 .31a)
2
f
H
=
H
= R
′
G
/[L
1
(1 − k )] (11 .31b)
Equation (11 .31a) is the same as (11 .29) when R
1
= 0 and k = 1. The
relative bandwidth...
Lumped Elements for RF and Microwave Circuits phần 8 pps
... 0.900 −0.46 10 .00 1. 11: 1
4 16 0.940 −0.26 12 .30 1. 06 :1
5 25 0.960 −0 .17 14 .10 1. 04 :1
6 36 0.973 −0 .12 15 .70 1. 03 :1
8 64 0.984 −0.07 18 .30 1. 02 :1
10 10 0 0.990 −0.04 −20.00 1. 01: 1
12 14 4 0.993 ... R
2
(⍀) R
1
(⍀) R
2
(⍀) R
1
(⍀) R
2
(⍀)
0.5 1. 4 868 2.9 1, 737 3 843
1 2.9 433 5.8 869 6 409
3 8.5 14 2 17 .6 292 20 12 0
5 14 82 31 179 39 64
10 26 3...
Lumped Elements for RF and Microwave Circuits phần 9 docx
... 1. 444
ͪͮ
−
1
for (W /h ≥ 1)
(14 .1a)
(14 .1b)
where
= 12 0
ohm and
⑀
re
=
⑀
r
+ 1
2
+
⑀
r
− 1
2
F(W /h) (14 .2)
F(W /h) =
ͭ
(1 + 12 h/W )
−
1/ 2
+ 0.0 41( 1 − W /h )
2
for (W /h ≤ 1)
(1 + 12 h/W )
−
1/ 2
for ... /hZ
0
⑀
re
(dB/cm) (pF /10 0
m) (nH /10 0
m)
25 0.07 16 4.6 2.75 0. 214 0.003 0.0 91
50 0 .13 14 2.2 2.82 0 .15 9 0.004 0.080
75 0.20 12 8.5...
Lumped Elements for RF and Microwave Circuits phần 10 potx
... 2,049 1, 445 1, 020 720
1 260 18 1 12 9 91
3 10 7 76 53 38
7 715 13625
10 63 44 31 22
*Gold conductors are 4.5
m thick except in 3-
m polyimide case, where t = 9
m and
⑀
rd
= 3.2.
Figures 14 .10 , 14 .11 , ... 3 41 49
See also Transformers
substrates, 57
Ferroelectric capacitors, 214 16
GaAs-based inductors, 86 11 8
BST, 215 , 216
2.5-turn, 93
materials, 214
compactor,...
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