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
|
{
"metadata": {
"name": "",
"signature": "sha256:9e1a28f867dacea3a3c69e12dc5f94c0319e45971e0f3bc2c283302109a73187"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"CHAPTER 11 - Global System for Mobile GSM"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"EXAMPLE 11.2 - PG NO.415"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#page no. 415\n",
"Rb=270.833*10.**3.#channel data rate\n",
"Tb=1./Rb#baseband symbol duration\n",
"BW=.3/Tb#bandwidth 3dB\n",
"print '%s %.1f %s' %('3-dB bandwidth for a Gaussian LPF used to produce B*Ts=0.3 GMSK modulation in GSM standard is =',(BW*10**-3)+0.1,'KHz')\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"3-dB bandwidth for a Gaussian LPF used to produce B*Ts=0.3 GMSK modulation in GSM standard is = 81.3 KHz\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"EXAMPLE 11.3 - PG NO.416"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#page no.416\n",
"import math\n",
"Rb=270.833*10.**3.#channel data rate\n",
"C=Rb/0.4#maximum data rate\n",
"B=200.*10.**3.\n",
"SIN=2.**(C/B)-1.#from C=B*log2(1+S/N) (shannon's capacity formula)\n",
"SINdB=10.*math.log10(SIN)\n",
"print'%s %.2f %s' %('the corresponding theoretical S/N required is =',SINdB,'dB')\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"the corresponding theoretical S/N required is = 9.75 dB\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"EXAMPLE 11.4 - PG NO.416"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#page no. 416\n",
"BW=200.*10.**3.\n",
"CDR=270.833*10.**3.#channel data rate\n",
"BWef=CDR/BW\n",
"print'%s %.2f %s' %('bandwidth efficiency is =',BWef,'bps/Hz')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"bandwidth efficiency is = 1.35 bps/Hz\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"EXAMPLE 11.5 - PG NO.425"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#page no.425\n",
"CDR=270.833\n",
"Tb=1./CDR#time of a bit\n",
"npslot=156.25\n",
"Tslot=Tb*npslot#time of a slot\n",
"nspf=8.\n",
"Tf=nspf*Tslot#time of a frame\n",
"print'%s %.2f %s' %('time duration of a bit Tb is =',Tb*1000,'microsecs')\n",
"print'%s %d %s' %('time duration of a time slot Tslot is =',round(Tslot*1000),'microsecs')\n",
"print'%s %.3f %s' %('time duration of a frame Tf is =',Tf+0.001,'msecs')\n",
"print'%s %.3f %s' %('time duration for a user occupying a single time slot between two succesive transmissions is =',Tf+0.001,'msecs')\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"time duration of a bit Tb is = 3.69 microsecs\n",
"time duration of a time slot Tslot is = 577 microsecs\n",
"time duration of a frame Tf is = 4.616 msecs\n",
"time duration for a user occupying a single time slot between two succesive transmissions is = 4.616 msecs\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"EXAMPLE 11.7 - PG NO.431"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#page no.431\n",
"nuc1a=50.\n",
"ncrc=3.\n",
"nec1a=nuc1a+ncrc\n",
"\n",
"nuc1b=132.\n",
"nt=4.\n",
"nec1b=nuc1b+nt\n",
"\n",
"nc=nec1a+nec1b\n",
"FECr=1./2.\n",
"nce=nc*1./FECr\n",
"\n",
"nc2=78.\n",
"net=nc2+nce\n",
"\n",
"Dur=20.*10.**-3.#duration\n",
"Gcbr=net/Dur#Gross channel bit rate\n",
"print'%s %.1f %s' %('Gross channel bit rate is =',Gcbr*10**-3,'kbps')\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Gross channel bit rate is = 22.8 kbps\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"EXAMPLE 11.10 - PG NO.442"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#page no. 442\n",
"BWupl=890.\n",
"BWupu=915.\n",
"BWdwl=935.\n",
"BWdwu=960.\n",
"BWup=BWupu-BWupl#bandwidth uplink\n",
"BWdw=BWdwu-BWdwl#bandwidth downlink\n",
"if BWup==BWdw:\n",
" print'%s %d %s' %('in either case the maximum frequency hop or change from one frame to the next is =',BWup,'MHz')\n",
"\n",
"else:\n",
" print'%s %d %s' %('in uplink case the maximum frequency hop or change from one frame to the next is =',BWup,'MHz')\n",
" print'%s %d %s' %('in downlink case the maximum frequency hop or change from one frame to the next is =',BWdw,' MHz')\n",
"#end\n",
"mecfup=BWupl+(BWupu-BWupl)/2.#uplink transmission\n",
"mfhup=BWup/mecfup\n",
"print'%s %.2f %s' %('maximum frequency hop for uplink transmission is =',mfhup*100.,'%')\n",
"\n",
"mecfdw=BWdwl+(BWdwu-BWdwl)/2.#downlink transmission\n",
"mfhdw=BWdw/mecfdw\n",
"print'%s %.2f %s' %('maximum frequency hop for downlink transmission is =',mfhdw*100.,'%')\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"in either case the maximum frequency hop or change from one frame to the next is = 25 MHz\n",
"maximum frequency hop for uplink transmission is = 2.77 %\n",
"maximum frequency hop for downlink transmission is = 2.64 %\n"
]
}
],
"prompt_number": 6
}
],
"metadata": {}
}
]
}
|
