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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:3deb63e976713f6e36585549e6b144389b0fc28fe2982a2838d929f3804cde18"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "chapter8 - Optical receiver operation"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 8.2.1, page 8-6"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "from numpy import log, sqrt, pi, log10\n",
+ "P=10**-9 #probability of error\n",
+ "eta=1 #ideal detector\n",
+ "h=6.626*10**-34 #plank's constant\n",
+ "c=3*10**8 #speed of light\n",
+ "lamda=1*10**-6 #wavelength\n",
+ "B=10**7 #bit rate\n",
+ "Mn = -log(P) \n",
+ "print \"The quantum limit at the receiver to maintain bit error rate 10**-9 is (%.1f*h*f)/eta.\" %Mn\n",
+ "f=c/lamda\n",
+ "Popt= 0.5*Mn*h*f*B/eta #computing optical power\n",
+ "Popt_dB = 10 * log10(Popt) + 30 #optical power in dbm\n",
+ "Popt=Popt*10**12 \n",
+ "print \"Minimum incident optical power is %.1f W or %.1f dBm.\" %(Popt,Popt_dB) "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The quantum limit at the receiver to maintain bit error rate 10**-9 is (20.7*h*f)/eta.\n",
+ "Minimum incident optical power is 20.6 W or -76.9 dBm.\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 8.2.2, page 8-8"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "SN_dB=60 #signal to noise ratio\n",
+ "h=6.626*10**-34 #plank's constant\n",
+ "c=3*10**8 #speed of light\n",
+ "lamda=1.3*10**-6 #wavelength\n",
+ "eta=1 \n",
+ "B=6.5*10**6 #Bandwidth\n",
+ "SN=10**(SN_dB/10) \n",
+ "f=c/lamda\n",
+ "Popt= 2*SN*h*f*B/eta #computing optical power\n",
+ "Popt_dB = 10 * log10(Popt) + 30 #optical power in dbm\n",
+ "Popt=Popt*10**6 \n",
+ "print \"Incident power required to get an SNR of 60 dB at the receiver is %.4f microWatt or %.3f dBm\" %(Popt,Popt_dB)\n",
+ "#Calculation error in the book.They have take SN as 10**5 while calculating, which has lead to an error in final answer\n",
+ "#answer in the book 198.1nW and -37.71 dBm"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Incident power required to get an SNR of 60 dB at the receiver is 1.9878 microWatt or -27.016 dBm\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 8.3.1, page 8-11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "lamda=0.85*10**-6 \n",
+ "h=6.626*10**-34 #plank's constant\n",
+ "c=3*10**8 #speed of light\n",
+ "q=1.6*10**-19 #charge of electron\n",
+ "eta=65/100 #quantum efficiency\n",
+ "P0=300*10**-9 #optical power\n",
+ "Id=3.5 #dark current\n",
+ "B=6.5*10**6 #bandwidth\n",
+ "K=1.39*10**-23 #Boltzman constant\n",
+ "T=293 #temperature\n",
+ "R=5*10**3 #load resister\n",
+ "Ip= 10**9*eta*P0*q*lamda/(h*c) \n",
+ "Its=10**9*(2*q*B*(Ip+Id)) \n",
+ "Its=sqrt(Its) \n",
+ "print \"rms shot noise current is %.2f nA.\" %(Its) \n",
+ "It= 4*K*T*B/R \n",
+ "It=sqrt(It) \n",
+ "It=It*10**9 \n",
+ "print \"Thermal noise is %.2f nA.\" %(It) \n",
+ "#answer given in book for Thermal noise is wrong."
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "rms shot noise current is 0.53 nA.\n",
+ "Thermal noise is 4.60 nA.\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 8.3.2, page 8-12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "lamda=0.85*10**-6 \n",
+ "h=6.626*10**-34 #plank's constant\n",
+ "c=3*10**8 #speed of light\n",
+ "q=1.6*10**-19 #charge of electron\n",
+ "eta=65/100 #quantum efficiency\n",
+ "P0=300*10**-9 #optical power\n",
+ "Id=3.5 #dark current\n",
+ "B=6.5*10**6 #bandwidth\n",
+ "K=1.39*10**-23 #Boltzman constant\n",
+ "T=293 #temperature\n",
+ "R=5*10**3 #load resister\n",
+ "F_dB=3 #noise figure\n",
+ "F=10**(F_dB/10) \n",
+ "Ip=10**9*eta*P0*q*lamda/(h*c) \n",
+ "Its=10**9*(2*q*B*(Ip+Id)) \n",
+ "It1= 4*K*T*B*F/R \n",
+ "SN= Ip**2/(Its+It1) \n",
+ "SN_dB=10*log10(SN) \n",
+ "SN=SN\n",
+ "print \"SNR is %.2e or %.2f dB.\" %(SN,SN_dB) \n",
+ "#answer given in the book is wrong."
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "SNR is 6.25e+04 or 47.96 dB.\n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 8.4.1, page 8-14"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "Cd=7*10**-12 \n",
+ "B=9*10**6 \n",
+ "Ca=7*10**-12 \n",
+ "R=(2*3.14*Cd*B)**-1 \n",
+ "B1=(2*3.14*R*(Cd+Ca))**-1 \n",
+ "R=R/1000 \n",
+ "B1=B1/10**6 \n",
+ "print \"\"\"Thus for 9MHz bandwidth maximum load resistance is %.2f Kohm\n",
+ "Now if we consider input capacitance of following amplifier Ca then Bandwidth is %.2fMHz\n",
+ "Maximum post detection bandwidth is half.\"\"\"%(R,B1) \n",
+ "#answer for resistance in the book is wrong"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Thus for 9MHz bandwidth maximum load resistance is 2.53 Kohm\n",
+ "Now if we consider input capacitance of following amplifier Ca then Bandwidth is 4.50MHz\n",
+ "Maximum post detection bandwidth is half.\n"
+ ]
+ }
+ ],
+ "prompt_number": 14
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Question 7, page 8.44"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "w=25*10**-6 #width\n",
+ "v=3*10**4 #velocity\n",
+ "t=w/v #computing drift time\n",
+ "BW=(2*pi*t)**-1 #computing bandwidth\n",
+ "rt=1/BW #response time\n",
+ "rt=rt*10**9 \n",
+ "print \"Maximum response time is %.2f ns.\" %(rt) \n",
+ "#Answer in the book is wrong."
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Maximum response time is 5.24 ns.\n"
+ ]
+ }
+ ],
+ "prompt_number": 16
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file