1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
|
{
"metadata": {
"name": "",
"signature": "sha256:7e1c74a28912b449959296d5be17e181689de7baeff58aa5e2dcd8837dc4f405"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 2: Noise"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 2.1, page no. 18"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variable Declaration\n",
"del_f = 2.00*pow(10,6) # Bandwidth of interest (Hz)\n",
"T = 300 # Operating Temperature (K)\n",
"k = 1.38*pow(10,-23) # Boltzmann's Constant (J/K)\n",
"\n",
"# Calculation\n",
"import math # Math Library\n",
"Pn = k*T*del_f # Power Output (W)\n",
"\n",
"# Result\n",
"print \"Maximum noise power output of the resistor, Pn =\",round(Pn/pow(10,-13),4),\"* 10^(-13) Watts\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Maximum noise power output of the resistor, Pn = 0.0828 * 10^(-13) Watts\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 2.2, page no. 19"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variable Declaration\n",
"del_f = 2.00*pow(10,6) # Bandwidth of interest (Hz)\n",
"T = 300 # Operating Temperature (K)\n",
"k = 1.38*pow(10,-23) # Boltzmann's Constant (J/K)\n",
"R = 10.00*pow(10,3) # Input Resistance (Ohms)\n",
"\n",
"# Calculation\n",
"import math # Math Library\n",
"Vn = pow(4*k*T*del_f*R,0.5) # RMS Noise Voltage (V)\n",
"\n",
"# Result\n",
"print \"The rms noise voltage at the input of the amplifier, Vn =\",round(Vn/pow(10,-6),1),\"microvolts\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The rms noise voltage at the input of the amplifier, Vn = 18.2 microvolts\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 2.3, page no. 21"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variable Declaration\n",
"del_f = 6.00*pow(10,6) # Bandwidth of interest (Hz)\n",
"T = 290 # Operating Temperature (K)\n",
"k = 1.38*pow(10,-23) # Boltzmann's Constant (J/K)\n",
"R1 = 300 # Input Resistance (Ohms)\n",
"R2 = 200 # Device Resistance (Ohms)\n",
"\n",
"# Calculation\n",
"import math # Math Library\n",
"Vn = pow(4*k*T*del_f*(R1+R2),0.5) # Noise voltage (V)\n",
"\n",
"# Result\n",
"print \"The noise voltage at the input of the Television RF amplifier, Vn =\",round(Vn/pow(10,-6),2),\"uV\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The noise voltage at the input of the Television RF amplifier, Vn = 6.93 uV\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 2.4, page no. 23"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variable Declaration\n",
"A1 = 10 # First Stage Voltage Gain\n",
"A2 = 25 # Second Stage Voltage Gain\n",
"R11 = 600 # First Stage Resistance (Ohms)\n",
"R12 = 1600 # First Stage Resistance (Ohms)\n",
"R21 = 27000 # Second Stage Resistance (Ohms)\n",
"R22 = 81000 # Second Stage Resistance (Ohms)\n",
"R23 = 10000 # Second Stage Resistance (Ohms)\n",
"R3 = 1.00*pow(10,6) # Third Stage Resistance (Ohms)\n",
"\n",
"# Calculation\n",
"import math # Math Library\n",
"R1 = R11+R12 # Resistance 1 (Ohms)\n",
"R2 = R21*R22/(R21+R22)+R23 # Resistance 2 (Ohms)\n",
"Req = R1+(R2/pow(A1,2))+R3/((A1*A1)*(A2*A2)) # Input Noise Resistance (Ohms)\n",
"\n",
"# Result\n",
"print \"Input Noise Resistance, Req =\",round(Req),\"Ohms\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Input Noise Resistance, Req = 2518.0 Ohms\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 2.5, page no. 28"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variable Declaration\n",
"Req = 2518.00 # Resistance From Example 2.4 (Ohms)\n",
"Rt = 600.00 # Resistance From Example 2.4 (Ohms)\n",
"Ra = 50.00 # Output Impedance (Ohms)\n",
"\n",
"# Calculation\n",
"import math # Math Library\n",
"Req1 = Req-Rt # Equivalent Resistance (Ohms)\n",
"NF = 1+Req1/Ra # Noise Figure\n",
"\n",
"# Result\n",
"print \"Noise Figure, F =\",round(NF,1),\"or\",round(10*math.log10(NF),2),\"dB\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Noise Figure, F = 39.4 or 15.95 dB\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 2.6, page no. 29"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"# Variable Declaration\n",
"To = 290 # Operating Temperature (K)\n",
"Ra = 50.00 # Antenna Resistance (Ohms)\n",
"Req = 30.00 # Equivalent Noise Resistance (Ohms)\n",
"\n",
"# Calculation\n",
"import math # Math Library\n",
"NF = 1+Req/Ra # Noise Figure\n",
"F = 10*math.log10(NF) # Noise Figure (dB)\n",
"Teq = To*(NF-1) # Noise Temperature (K)\n",
" \n",
"# Result\n",
"print \"Noise Figure, F =\",round(F,2),\"dB\"\n",
"print \"Noise Temperature, Teq =\",round(Teq),\"K\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Noise Figure, F = 2.04 dB\n",
"Noise Temperature, Teq = 174.0 K\n"
]
}
],
"prompt_number": 8
}
],
"metadata": {}
}
]
}
|
