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{
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"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 1: Introduction to Communication Systems"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 1.1, page no. 10 "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"\n",
"# Variable Declaration\n",
"T = 1.00*pow(10,-3) # Time (s)\n",
"Tau = 500.00*pow(10,-6) # Pulse Width (s)\n",
"A = 10.00 # Amplitude (V)\n",
"\n",
"# Calculation\n",
"import math # Math Library\n",
"Coeff1 = A*(Tau/T) # Coefficient 1\n",
"Coeff2 = 2*A*(Tau/T)*math.sin((Tau/T)*math.pi)/((Tau/T)*math.pi) # Coefficient 2\n",
"Coeff3 = 2*A*(Tau/T)*math.sin(2*(Tau/T)*math.pi)/(2*(Tau/T)*math.pi) # Coefficient 3\n",
"Coeff4 = 2*A*(Tau/T)*math.sin(3*(Tau/T)*math.pi)/(3*(Tau/T)*math.pi) # Coefficient 4\n",
"\n",
"# Result\n",
"print \"The Coefficients of First Four Terms in the Fourier Series are:\"\n",
"print \"Coeff1 =\",round(Coeff1)\n",
"print \"Coeff2 =\",round(Coeff2,3)\n",
"print \"Coeff3 =\",round(Coeff3)\n",
"print \"Coeff4 =\",round(Coeff4,3)\n",
"print \"f(t) = [\",round(Coeff1),\"] + [\",round(Coeff2,3),\"cos(2pi*10^3*t) ] + [\",round(Coeff3),\"] + [\",round(Coeff4,3),\"cos(6pi*10^3*t)\",\"]\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The Coefficients of First Four Terms in the Fourier Series are:\n",
"Coeff1 = 5.0\n",
"Coeff2 = 6.366\n",
"Coeff3 = 0.0\n",
"Coeff4 = -2.122\n",
"f(t) = [ 5.0 ] + [ 6.366 cos(2pi*10^3*t) ] + [ 0.0 ] + [ -2.122 cos(6pi*10^3*t) ]\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 1.2, page no. 12 "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n",
"\n",
"\n",
"# Variable Declaration\n",
"f = 0.50*pow(10,3) # First Zero Crossing (Hz)\n",
"Fw_max = 8.00*pow(10,-3) # Amplitude (V)\n",
"\n",
"# Calculation\n",
"import math # Math Library\n",
"Tau = 1/f # Pulse Duration (s)\n",
"A = Fw_max/Tau # Maximum Voltage (V) \n",
"\n",
"# Result\n",
"print \"The single pulse has a maximum voltage of\",round(A),\"V and a duration of\",round(Tau*pow(10,3)),\"ms.\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The single pulse has a maximum voltage of 4.0 V and a duration of 2.0 ms.\n"
]
}
],
"prompt_number": 2
}
],
"metadata": {}
}
]
}
|
