Using the scattering parameters listed in Table 2.2 for Vas = 3 V and f = 10 GHz, determine the scattering variables a₁, a2, b₁, b₂ for the following load conditions: (a) 50 2; (b) 100 2; (c) 200 2. The source is 3 mV EMF in series with a 50-02 internal impedance. Zo = 50 Ω. All impedances are real.

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Transmision lines

19. Using the scattering parameters listed in Table 2.2 for Vas 3 V and
f = 10 GHz, determine the scattering variables a₁, a2, b₁, b₂ for the
following load conditions: (a) 50 2; (b) 100 2; (c) 200 2. The source
is 3 mV EMF in series with a 50- internal impedance. Zo = 50.
All impedances are real.
=
Transcribed Image Text:19. Using the scattering parameters listed in Table 2.2 for Vas 3 V and f = 10 GHz, determine the scattering variables a₁, a2, b₁, b₂ for the following load conditions: (a) 50 2; (b) 100 2; (c) 200 2. The source is 3 mV EMF in series with a 50- internal impedance. Zo = 50. All impedances are real. =
TABLE 2.2
Typical Scattering Parameters, Common Source* for Avantek AT-12570-5, 2-10 GHz Small Signal
Gallium Arsenide FET
FREQUENCY
(GHz)
1.00
2.00
3.00
4.00
5.00
6.00
7.00
8.00
10.00
FREQUENCY
(GHz)
1.00
2.00
3.00
4.00
5.00
6.00
7.00
8.00
10.00
(MAG)
.969
.928
.869
.782
.741
.719
.720
.692
.687
SI1
.963
.907
.841
.753
.713
.697
.700
.671
.668
AT 12570-5 VDS =
(ANG) (MAG) (ANG)
S11
4.02
3.91
3.61
3.19
- 32
- 64
- 98
- 126
- 155
2.84
179
2.54
156
2.27
139
2.02
107 1.72
AT 12570-5 VDS
3 V, Ins = 20 mA
S21
5.07
4.82
- 34
-69
- 104
4.34
133
3.77
- 161
3.30
173
2.91
151
2.58
135
2.28
104 1.93
= 5 V, Ips
S21
150
121
93
66
41
20
- 1
-21
-59 .114
(MAG) (ANG)
148
118
89
63
38
17
-4
- 24
-62
.036
.068
.093
.106
.115
.117
.118
.116
S12
= 50 mA
(MAG) (ANG) (MAG) (ANG) (MAG) (ANG)
.027
.051
.067
.076
.081
.082
.084
.085
.089
S12
68
45
23
3
- 14
- 29
- 43
-57
-81
69
47
26
7
-6
- 19
-30
-40
-60
(MAG)
.514
.483
.434
.389
.352
.339
.338
.349
.381
S22
.559
.526
.474
.433
.400
.392
.399
.416
.464
(MAG)
(ANG)
S22
- 23
- 49
-75
-97
- 119
- 140
- 159
- 174
153
(ANG)
- 22
-45
-63
-87
- 107
- 125
- 145
- 160
169
*As measured in the Avantek TF-070 test fixture. Fixtures available, factory inquiry. (Courtesy Avantek
Inc., Santa Clara, Ca.)
Transcribed Image Text:TABLE 2.2 Typical Scattering Parameters, Common Source* for Avantek AT-12570-5, 2-10 GHz Small Signal Gallium Arsenide FET FREQUENCY (GHz) 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 10.00 FREQUENCY (GHz) 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 10.00 (MAG) .969 .928 .869 .782 .741 .719 .720 .692 .687 SI1 .963 .907 .841 .753 .713 .697 .700 .671 .668 AT 12570-5 VDS = (ANG) (MAG) (ANG) S11 4.02 3.91 3.61 3.19 - 32 - 64 - 98 - 126 - 155 2.84 179 2.54 156 2.27 139 2.02 107 1.72 AT 12570-5 VDS 3 V, Ins = 20 mA S21 5.07 4.82 - 34 -69 - 104 4.34 133 3.77 - 161 3.30 173 2.91 151 2.58 135 2.28 104 1.93 = 5 V, Ips S21 150 121 93 66 41 20 - 1 -21 -59 .114 (MAG) (ANG) 148 118 89 63 38 17 -4 - 24 -62 .036 .068 .093 .106 .115 .117 .118 .116 S12 = 50 mA (MAG) (ANG) (MAG) (ANG) (MAG) (ANG) .027 .051 .067 .076 .081 .082 .084 .085 .089 S12 68 45 23 3 - 14 - 29 - 43 -57 -81 69 47 26 7 -6 - 19 -30 -40 -60 (MAG) .514 .483 .434 .389 .352 .339 .338 .349 .381 S22 .559 .526 .474 .433 .400 .392 .399 .416 .464 (MAG) (ANG) S22 - 23 - 49 -75 -97 - 119 - 140 - 159 - 174 153 (ANG) - 22 -45 -63 -87 - 107 - 125 - 145 - 160 169 *As measured in the Avantek TF-070 test fixture. Fixtures available, factory inquiry. (Courtesy Avantek Inc., Santa Clara, Ca.)
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