{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 7: Phase Frequency and Time"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example7_1,pg 496"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# find pulse width\n",
"\n",
"import math\n",
"#Variable declaration\n",
"delt=1*10**-3 #pulse width\n",
"#w=2wo\n",
"#delt at w=2wo\n",
"\n",
"#Calculations\n",
"delT=(delt/2.0) #changed in pulse width\n",
"\n",
"#Result\n",
"print(\"pulse width:\")\n",
"print(\"delT = %.1f ms\"%(delT*10**3))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"pulse width:\n",
"delT = 0.5 ms\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example7_2,pg 496"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# detector senstivity\n",
"\n",
"import math\n",
"#Variable declaration\n",
"\n",
"#senstivity of phase detection\n",
"#Sphi=(Vo/sin(B))=(Vo/B)=(+/-)0.5Vmax, B is phase displacement\n",
"Vmax=1.0 #amplitude of cosine waves\n",
"\n",
"#Calculations\n",
"Sphi=(1.0/2)*Vmax\n",
"\n",
"#Result\n",
"print(\"senstivity of phase detection:\")\n",
"print(\"Sphi = %.1f V/rad\"%Sphi)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"senstivity of phase detection:\n",
"Sphi = 0.5 V/rad\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example7_3,pg 496"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# phase measured\n",
"\n",
"import math\n",
"#Variable declaration\n",
"Vp=1.3 #pulse height\n",
"delt=0.31*10**-3 #pulse width\n",
"T=1*10**-3 #pulse repetion rate\n",
"\n",
"#Calculations\n",
"Vphi=Vp*(delt/T) #phase deviation\n",
"phi=2*math.pi*(Vphi/Vp) #phase\n",
"\n",
"#Result\n",
"print(\"phase measured:\")\n",
"print(\"phi = %.4f rad\"%phi)\n",
"#Answer is wrong in the book"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"phase measured:\n",
"phi = 1.9478 rad\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example7_4,pg 497"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# measured phase difference\n",
"\n",
"import math\n",
"#Variable declaration\n",
"delt=0.13*10**-3 #time delay\n",
"T=1.3*10**-3 #time period\n",
"\n",
"#Calculations\n",
"n=(1.0/3.0)*(1+(delt/T)) #order of phase meter\n",
"delphi=(n-(1.0/3))*1080 #measured phase difference\n",
"\n",
"#Result\n",
"print(\"measured phase difference:\")\n",
"print(\"delphi = %.f\u00b0\"%delphi)\n",
"#Answer slightly different than the book"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"measured phase difference:\n",
"delphi = 36\u00b0\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example7_5,pg 497"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# find phase difference\n",
"\n",
"import math\n",
"#Variable declaration\n",
"n=8.0 #8-bit counter\n",
"N2=64.0 #output digital count\n",
"\n",
"#Calculations\n",
"theta=math.pi*(N2/(2**n-1))\n",
"\n",
"#Result\n",
"print(\"measured phase difference:\")\n",
"print(\"theta = %.3f radian\"%theta)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"measured phase difference:\n",
"theta = 0.788 radian\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example7_6,pg 497"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# states for stages required\n",
"import math\n",
"#Variable declaration\n",
"#since the no. is more than 9, the two-stage counting is required. the states of the stages are\n",
"print(\"D C B A decimal equivalent\")\n",
"a1=\"0 0 0 1 1\"\n",
"a5=\"0 1 0 1 5\"\n",
"\n",
"#Result\n",
"print a1 \n",
"print a5"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"D C B A decimal equivalent\n",
"0 0 0 1 1\n",
"0 1 0 1 5\n"
]
}
],
"prompt_number": 15
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example7_7,pg 498"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# find time base division\n",
"\n",
"import math\n",
"#Variable declaration\n",
"fd=10.0*10**6 #frequency meter input\n",
"fc=10.0*10**3 #counter clock\n",
"fi=100.0*10**6 #actual input frequency\n",
"\n",
"#Calculations\n",
"k=fc*(fd/fi) #division time base\n",
"\n",
"#Result\n",
"print(\"division time base:\")\n",
"print(\"k = %.f\"%k)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"division time base:\n",
"k = 1000\n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example7_8,pg 498"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# frequency of sinusoid\n",
"\n",
"import math\n",
"#Variable declaration\n",
"V2=0.130 #output-1\n",
"V1=0.103 #output-2\n",
"Vx=0.4 #peak amplitude\n",
"delt=0.1*10**-3 #time delay\n",
"\n",
"#Calculations\n",
"f1=(1.0/(2*math.pi*delt))*(math.asin(V2/Vx)-math.asin(V1/Vx))\n",
"\n",
"#Result\n",
"print(\"frequency of sinusoid:\")\n",
"print(\"f1 = %.0f Hz\"%(math.ceil(f1)))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"frequency of sinusoid:\n",
"f1 = 113 Hz\n"
]
}
],
"prompt_number": 11
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example7_9,pg 498"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# count of counter(refer fig. 7.30(a),(b),(c))\n",
"\n",
"import math\n",
"#Variable declaration\n",
"#N=(2*fc/fs^2)*fi\n",
"fs=10*10**2 #sampler frequency\n",
"fc=10*10**3 #counter clock\n",
"\n",
"#Calculations\n",
"M=(fs**2)/(2*fc) #multiplication factor\n",
"fi=113.0 #input frequency\n",
"N=(1.0/M)*fi #count of counter\n",
"\n",
"print(\"count of counter:\")\n",
"print(\"N = %.2f \"%N)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"count of counter:\n",
"N = 2.26 \n"
]
}
],
"prompt_number": 20
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example7_10,pg 498"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# find time between events \n",
"\n",
"import math\n",
"#Variable declaration\n",
"n=10.0*10**2 #scale factor=(1/n)\n",
"fc=10.0*10**5 #clock frequency\n",
"N=10.0 #count\n",
"\n",
"#Calculations\n",
"Tp=(n/fc)*N #time between events\n",
"\n",
"#Result\n",
"print(\"time between events:\")\n",
"print(\"Tp = %.f ms\"%(Tp*1000))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"time between events:\n",
"Tp = 10 ms\n"
]
}
],
"prompt_number": 13
}
],
"metadata": {}
}
]
}