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 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "CHAPTER 12 - CDMA Digital Cellular Standards IS 95"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "EXAMPLE 12.1 - PG NO. 454"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#page no. 454\n",
      "import math\n",
      "Bt=400.*10.**6.\n",
      "Bc=100.\n",
      "Gp=Bt/Bc#processing gain\n",
      "k=math.log10(Gp)/math.log10(2)\n",
      "print'%s %d %s %s %d %s' %('At 19.2 kbps the processing gain =',Gp/10000,'MHz/100Hz','=',Gp/1000000,'* 10**6')\n",
      "print'%s %d %s' %('minimum no. of PN bits k =',round(k),'bits')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "At 19.2 kbps the processing gain = 400 MHz/100Hz = 4 * 10**6\n",
        "minimum no. of PN bits k = 22 bits\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "EXAMPLE 12.3 - PG NO. 460"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#page no.460\n",
      "import math\n",
      "Rc=10.*10.**6.#code rate \n",
      "Bc=Rc#RF bandwidth=code rate\n",
      "Rb=4.8*10.**3.#info. data rate\n",
      "Gp=Bc/Rb#processing gain\n",
      "GpdB=10.*math.log10(Gp)#processing gain in dB \n",
      "\n",
      "Rc1=50.*10.**6.\n",
      "Bc1=Rc1\n",
      "Gp1=Bc1/Rb\n",
      "Gp1dB=10.*math.log10(Gp1);\n",
      "Inc=Gp1dB-GpdB\n",
      "print'%s %.1f %s' %('increase in processing gain =',Inc+0.1,'dB')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "increase in processing gain = 7.1 dB\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "EXAMPLE 12.4 - PG NO. 461"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#page no.461\n",
      "Bc=1.25*10.**6.\n",
      "Rb=9600.\n",
      "SrmindB=3.\n",
      "Srmin=10.**(SrmindB/10.)\n",
      "Mmax=(Bc/Rb)*(1./Srmin)#maximum no. of simultaneous users\n",
      "\n",
      "SrmaxdB=9.\n",
      "Srmax=10.**(SrmaxdB/10.)\n",
      "Mmin=(Bc/Rb)*(1./Srmax)#minimum no. of simultaneous users\n",
      "\n",
      "print'%s %d %s %d %s' %('A single cell IS-95 CDMA digital cellular system can support from = ',Mmin,'to',Mmax,'users')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "A single cell IS-95 CDMA digital cellular system can support from =  16 to 65 users\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "EXAMPLE 12.5 - PG NO. 463"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#page no. 463\n",
      "ImaipNodB=6.\n",
      "ImaipNo=10.**(ImaipNodB/10.)\n",
      "NopImai=1./ImaipNo\n",
      "SINRdB=8.\n",
      "SINR=10.**(SINRdB/10.)#signal to noise ratio \n",
      "Q=128.#total spreading factor\n",
      "a=.55#relative intercellular interfernce factor\n",
      "M=Q/((1.+a)*(1.+NopImai)*SINR)\n",
      "print'%s %.1f %s' %('M =',M,'users per cell')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "M = 10.5 users per cell\n"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "EXAMPLE 12.6 - PG NO. 465"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#page no.465\n",
      "import math\n",
      "Gv=2.5#interfernce reduction factor\n",
      "Ga=2.5#antenna sectorisation gain factor\n",
      "a=1.6#interfence increase factor\n",
      "Pf=(Gv*Ga)/a\n",
      "PfdB=10.*math.log10(Pf)\n",
      "print'%s %.1f %s' %('perfomance improvement factor Pf(dB) is =',PfdB,'dB')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "perfomance improvement factor Pf(dB) is = 5.9 dB\n"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "EXAMPLE 12.7 - PG NO. 465"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#page no.465\n",
      "Bc=1.25*10.**6.\n",
      "Rb=9600.\n",
      "PfdB=6.\n",
      "Pf=10.**(PfdB/10.)\n",
      "SrmindB=3.\n",
      "Srmin=10.**(SrmindB/10.)\n",
      "Mmax=((Bc/Rb)*(1./Srmin))*(Pf)#maximum users\n",
      "\n",
      "SrmaxdB=9.\n",
      "Srmax=10.**(SrmaxdB/10.)\n",
      "Mmin=((Bc/Rb)*(1./Srmax))*(Pf)#minimum users\n",
      "\n",
      "\n",
      "print'%s %d %s %s %d %s %s %d %s %d' %('A single cell IS-95 CDMA system can support from =',Mmin -1,'users','to',Mmax +1,'users','or',Mmin -1,'< M <',Mmax +1)\n",
      "\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "A single cell IS-95 CDMA system can support from = 64 users to 260 users or 64 < M < 260\n"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "EXAMPLE 12.8 - PG NO. 467"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#page no.467\n",
      "BW=1.25*10.**6.\n",
      "CR=1.2288*10.**6.#chip rate\n",
      "BWef=CR/BW\n",
      "print'%s %.2f %s' %('bandwidth efficiency is =',BWef,'chips/s/Hz')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "bandwidth efficiency is = 0.98 chips/s/Hz\n"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "EXAMPLE 12.10 - PG NO. 477"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#page no.477\n",
      "import math\n",
      "Bc=1.2288*10**6\n",
      "Rb=9.6*10**3#baseband data rate\n",
      "Gp=Bc/Rb#processing gain\n",
      "GpdB=10*math.log10(Gp)#processing gain in dB\n",
      "\n",
      "Rb1=4.8*10**3\n",
      "Gp1=Bc/Rb1\n",
      "Gp1dB=10*math.log10(Gp1)\n",
      "\n",
      "Rb2=2.4*10**3\n",
      "Gp2=Bc/Rb2\n",
      "Gp2dB=10*math.log10(Gp2)\n",
      "\n",
      "Rb3=1.2*10**3\n",
      "Gp3=Bc/Rb3\n",
      "Gp3dB=10*math.log10(Gp3)\n",
      "\n",
      "Rb4=19.2*10**3\n",
      "Gp4=Bc/Rb4\n",
      "Gp4dB=10*math.log10(Gp4)\n",
      "print'%s %d %s' %('processing gain  Gp(dB) at the baseband data rate of 9.6kbps is =',GpdB,'dB')\n",
      "print'%s %d %s' %('processing gain  Gp(dB) at the baseband data rate of 4.8kbps is =',Gp1dB,'dB')\n",
      "print'%s %d %s' %('processing gain  Gp(dB) at the baseband data rate of 2.4kbps is =',Gp2dB,'dB')\n",
      "print'%s %d %s' %('processing gain  Gp(dB) at the baseband data rate of 1.2kbps is =',Gp3dB,'dB')\n",
      "print'%s %d %s' %('processing gain  Gp(dB) at the baseband data rate of 19.2kbps is =',Gp4dB,'dB')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "processing gain  Gp(dB) at the baseband data rate of 9.6kbps is = 21 dB\n",
        "processing gain  Gp(dB) at the baseband data rate of 4.8kbps is = 24 dB\n",
        "processing gain  Gp(dB) at the baseband data rate of 2.4kbps is = 27 dB\n",
        "processing gain  Gp(dB) at the baseband data rate of 1.2kbps is = 30 dB\n",
        "processing gain  Gp(dB) at the baseband data rate of 19.2kbps is = 18 dB\n"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "EXAMPLE 12.12 - PG NO. 486"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#page no.486\n",
      "N=(2.**42.-1.)\n",
      "TDR=19200.#transmission data rate\n",
      "t=N/TDR\n",
      "print'%s %.2f %s' %('time taken to transit the complete long code =',(t/(60.*60.*24.*365.)),'years')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "time taken to transit the complete long code = 7.26 years\n"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "EXAMPLE 12.13 - PG NO. 491"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#page no.491\n",
      "Prm=-85.\n",
      "Ptm=-76.-Prm\n",
      "Ptrm=5.\n",
      "Diff=Ptm-Ptrm\n",
      "t1dB=1.25\n",
      "t=Diff*t1dB#time for adjusting\n",
      "print'%s %d %s' %('time needed to adjust mobile transmitter level is =',t,'msecs')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "time needed to adjust mobile transmitter level is = 5 msecs\n"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "EXAMPLE 12.15 - PG NO. 497"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#page no.497\n",
      "d1=1.*10.**3.#dist.direct sig. from A\n",
      "d11=1.5*10.**3.#dist.A and building\n",
      "d12=0.5*10.**3.#dist.mobile and building\n",
      "d2=d11+d12#dist.reflected sig.\n",
      "d3=3.*10.**3.#dist.direct sig. from B\n",
      "c=3.*10.**8.\n",
      "D1=(d3-d1)\n",
      "t1=D1/c#delay direct signal from A\n",
      "D2=(d3-d2)\n",
      "t2=D2/c#delay reflected signal from A\n",
      "print'%s %.2f %s' %('time delay for direct signal from A =',t1*10**6,'microsecs')\n",
      "print'%s %.2f %s' %('\\ntime delay for reflected signal from A =',t2*10**6,'microsecs')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "time delay for direct signal from A = 6.67 microsecs\n",
        "\n",
        "time delay for reflected signal from A = 3.33 microsecs\n"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "EXAMPLE 12.17 - PG NO. 502"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#page no.502\n",
      "import math\n",
      "Y=4.\n",
      "d1=100.\n",
      "B=1.#(say)\n",
      "Ptm=1#(say)\n",
      "Prm1=B*Ptm/(d1)**Y\n",
      "d2=10000.\n",
      "Prm2=B*Ptm/(d2)**Y\n",
      "Prm1IPrm2=Prm1/Prm2#expected differnce in recieved power level\n",
      "Prm1IPrm2dB=10.*math.log10(Prm1IPrm2)\n",
      "print'%s %d %s' %('expected differnce in recieved power level =',-Prm1IPrm2dB,'dB')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "expected differnce in recieved power level = -80 dB\n"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "EXAMPLE 12.18 - PG NO. 505"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#page no.505\n",
      "EbINodB=-1.59#shannon limit in (AWGN)\n",
      "EbINo=10.**(EbINodB/10.)\n",
      "M=1./EbINo#theoretical mobile users\n",
      "\n",
      "EbINodB1=6.\n",
      "EbINo1=10.**(EbINodB1/10.)\n",
      "M1=1./EbINo1#practical mobile users\n",
      "print'%s %.2f %s' %('theoretical number of mobile users,M =',M,'Gp')\n",
      "print'%s %.2f %s' %('\\npractical number of mobile users,M =',M1,'Gp')\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "theoretical number of mobile users,M = 1.44 Gp\n",
        "\n",
        "practical number of mobile users,M = 0.25 Gp\n"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "EXAMPLE 12.19 - PG NO. 506"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#page no.506\n",
      "import math\n",
      "Bc=1.25*10.**6.\n",
      "Rb=9.6*10.**3.\n",
      "Gp=Bc/Rb\n",
      "GpdB=10.*math.log10(Gp)\n",
      "\n",
      "EbINodB=6.\n",
      "EbINo=10.**(EbINodB/10.)\n",
      "\n",
      "p=0.5#interference factor \n",
      "a=.85#power control accuracy factor\n",
      "v=.6#voice activity factor\n",
      "Y=2.55#improvement from sectorisation\n",
      "M=(Gp/(EbINo))*(1./(1.+p))*a*(1./v)*Y#no. of mobile users per cell\n",
      "Ns=3.\n",
      "Nmps=M/Ns\n",
      "print'%s %d' %('no. of mobile users per sector =',Nmps)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "no. of mobile users per sector = 26\n"
       ]
      }
     ],
     "prompt_number": 14
    }
   ],
   "metadata": {}
  }
 ]
}