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+{
+ "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": {}
+ }
+ ]
+} \ No newline at end of file
generated by cgit (git 2.34.1) at 2024-12-20 12:07:29 +0000