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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 2: Mobile Communication Engineering"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 2.10: Symbol_rate.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"Vm=96*5/18;\n",
+"fc=900*10^6;\n",
+"c=3*10^8;\n",
+"function [y ]= fround(x,n)\n",
+"// fround(x,n)\n",
+"// Round the floating point numbers x to n decimal places\n",
+"// x may be a vector or matrix// n is the integer number of places to round to\n",
+"y=round(x*10^n)/10^n;\n",
+"endfunction\n",
+"Yc=fround((c/fc),2);\n",
+"fdm=fround((Vm/Yc),2);\n",
+"Tc=fround((0.423/fdm),5)//coherence time\n",
+"Symbolrate=fround((1/Tc),0)//Symbolrate\n",
+"printf('Symbol rate is %.f bps',Symbolrate)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 2.11: Correlative_fading.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"Td=1*10^(-1*6)\n",
+"Delf=1*10^6//difference in frequency\n",
+"printf('\nDelf= %.f MHz',Delf*10^(-6));\n",
+"Bc=1/(2*%pi*Td)//coherence bandwidth\n",
+"printf('\ncoherence bandwidth= %.2f kHz',Bc*10^(-3))\n",
+"if Delf>Bc then\n",
+" disp(,'Correlative fading fading will not be experienced as Delf>Bc')\n",
+" else disp(,'Correlative fading fading will be experienced as Delf<Bc')\n",
+"end"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 2.1: change_in_recieved_signal_in_free_space.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"r1=1\n",
+"y=20*log10(r1/(2*r1))\n",
+"Delc1=round(y)//change in recieved signal strengths\n",
+"printf('\ndel when r2=2r1 = %.d dB',Delc1)\n",
+"Delc2=20*log10(r1/(10*r1))////change in recieved signal strengths\n",
+"printf('\ndel when r2=10r1 = %.f dB',Delc2)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 2.2: change_in_recieved_signal_in_mobile_radio.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"r1=1\n",
+"y=40*log10(r1/(2*r1))\n",
+"Delc1=round(y)//change in recieved signal strengths\n",
+"disp(Delc1,'del in db when r2=2r1')\n",
+"Delc2=40*log10(r1/(10*r1))//change in recieved signal strengths\n",
+"disp(Delc2,'delc in db when r2=10r1')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 2.3: amount_of_delay.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"fc=900*10^6 \n",
+"c=3*10^8 \n",
+"yc=c/fc//wavelength of transmission\n",
+"ddir=1000\n",
+"dref=1000\n",
+"Angle=120\n",
+"Q=120/2\n",
+"tdir=ddir/c//time taken by direct path\n",
+"tref=dref/(c*sin(Q*%pi/180))//time taken by reflected path\n",
+"delay=tref-tdir\n",
+"disp(delay,'delay in sec')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 2.4: time_between_fades.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"Vm=60*5/18//speed of mobile in m/s\n",
+"fc1=900*10^6//frequency of operation\n",
+"fc2=1900*10^6//frequency of operation\n",
+"c=3*10^8//speed of radio waves\n",
+"Tf1=c/(2*fc1*Vm)\n",
+"Tf2=c/(2*fc2*Vm)\n",
+"printf('time between fades in sec at 900 Mhz= %.f ms',Tf1*10^(3));\n",
+"printf('\ntime between fades in sec at 1900 Mhz= %.1f ms',Tf2*10^(3));"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 2.5: doppler_frequency_shift.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"Vm=72*5/18\n",
+"fc=900*10^6\n",
+"c=3*10^8\n",
+"Q1=180*%pi/180\n",
+"Q2=0*%pi/180\n",
+"Q3=60*%pi/180\n",
+"Q4=90*%pi/180\n",
+"fd1=fc*Vm*cos(Q1)/c//dopler shift\n",
+"fd2=fc*Vm*cos(Q2)/c\n",
+"fd3=fc*Vm*cos(Q3)/c\n",
+"fd4=fc*Vm*cos(Q4)/c\n",
+"fr1=fc+fd1//recieved carrier frequency\n",
+"fr2=fc+fd2\n",
+"fr3=fc+fd3\n",
+"fr4=fc+fd4\n",
+"printf('\nrecieved carrier frequency directly away from base station transmitter = %.5f MHz',fr1*10^(-6));\n",
+"printf('\nrecieved carrier frequency directly towards from base station transmitter = %.5f MHz',fr2*10^(-6))\n",
+"printf('\nrecieved carrier frequency in direction 60 deg to direction of arrival = %.5f MHz',fr3*10^(-6))\n",
+"printf('\nrecieved carrier frequency in direction perpendicular to direction of arrival = %.5f MHz',fr4*10^(-6));"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 2.6: maximum_speed_of_vehicle.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"fc=900*10^6\n",
+"c=3*10^8\n",
+"fdm=70\n",
+"Yc=c/fc\n",
+"V=fdm*Yc//max. speed of the vehicle\n",
+"Vm=V*18/5//to convert max speed in kmph\n",
+"disp(Vm,'maximum speed of the vehicle in kmph')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 2.7: mobile_antenna_beamwidth.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"fc=800*10^6\n",
+"fd1=10\n",
+"fd2=50\n",
+"Vm=80*5/18\n",
+"c=3*10^8\n",
+"Yc=c/fc//wavelength of transmission\n",
+"Q1=acosd(Yc*fd1/Vm)//as cosQ=Yc*fd/Vm\n",
+"Q2=acosd(Yc*fd2/Vm)\n",
+"Beamwidth=Q1-Q2\n",
+"disp(Beamwidth,'Beamwidth in degrees')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 2.8: doppler_frequency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"fc=900*10^6//carrier frequency of transmission\n",
+"fdm=20//max. doppler frequency\n",
+"p=1//normalized specified level\n",
+"Nl=2.5*fdm*p*(%e)^(-1*(p^2))//level crossing rate\n",
+"c=3*10^8//velocity of light\n",
+"V=fdm*c/fc\n",
+"Vm=V*18/5//maximum speed\n",
+"printf('positive going level crossing rate = %.2f crossings per second',Nl);\n",
+"printf('\nmaximum velocity of the mobile for the given doppler frequency= %.f kmph',Vm)"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 2.9: Fade_duratio.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"fdm=20\n",
+"p1=0.01\n",
+"T1=0.4*(((%e)^(p1^2)) -1)/(fdm*p1)//average fade duration T \n",
+"p2=0.1\n",
+"T2=0.4*(((%e)^(p2^2)) -1)/(fdm*p2)\n",
+"p3=0.707\n",
+"T3=0.4*(((%e)^(p3^2)) -1)/(fdm*p3)\n",
+"p4=1\n",
+"T4=0.4*(((%e)^(p4^2)) -1)/(fdm*p4)\n",
+"printf('\naverage fade duration T= %.f microsec for p=0.01',((T1*10^6)-1));\n",
+"printf('\naverage fade duration T= %.f msec for p=0.01',T2*10^3);\n",
+"printf('\naverage fade duration T= %.f msec for p=0.01',T3*10^3);\n",
+"printf('\naverage fade duration T= %.f msec for p=0.01',T4*10^3);\n",
+"Dr=50\n",
+"Bp=1/Dr//Bit period\n",
+"printf('\nBit period=%.f msec',Bp*10^(3));\n",
+"if Bp>T3 then//for case p=0.707\n",
+" \n",
+"disp(,'Fast rayleigh fading as Bp>T for p=0.707')\n",
+"else \n",
+"disp(,'Slow rayleigh fading as Bp<T for p=0.707')\n",
+"end\n",
+"Nl=2.5*fdm*p2*((%e)^(-1*(p2^2)))//avg. no. of level crossings\n",
+"AvgBER=Nl/Dr\n",
+"printf('\naverage bit error rate = %.1f',AvgBER)"
+ ]
+ }
+],
+"metadata": {
+ "kernelspec": {
+ "display_name": "Scilab",
+ "language": "scilab",
+ "name": "scilab"
+ },
+ "language_info": {
+ "file_extension": ".sce",
+ "help_links": [
+ {
+ "text": "MetaKernel Magics",
+ "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
+ }
+ ],
+ "mimetype": "text/x-octave",
+ "name": "scilab",
+ "version": "0.7.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}