From 148e58d03cf168dbed05a44bf368977619abe09b Mon Sep 17 00:00:00 2001 From: Trupti Kini Date: Wed, 10 Feb 2016 23:30:29 +0600 Subject: Added(A)/Deleted(D) following books A Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER01.ipynb A Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER03.ipynb A Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER04.ipynb A Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER05.ipynb A Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER06.ipynb A Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER08.ipynb A Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER09.ipynb A Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER10.ipynb A Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER11.ipynb A Analog_and_Digital_Communications_by_H_P_Hsu/screenshots/Screenshot04.png A Analog_and_Digital_Communications_by_H_P_Hsu/screenshots/Screenshot08.png A Analog_and_Digital_Communications_by_H_P_Hsu/screenshots/Screenshot10.png A Basic_electrical_and_electronics_engineering_-1_by_S_K_Bhattacharya_and_debasish_de/CHAPTER01.ipynb A Basic_electrical_and_electronics_engineering_-1_by_S_K_Bhattacharya_and_debasish_de/CHAPTER02.ipynb A Basic_electrical_and_electronics_engineering_-1_by_S_K_Bhattacharya_and_debasish_de/CHAPTER03.ipynb A Basic_electrical_and_electronics_engineering_-1_by_S_K_Bhattacharya_and_debasish_de/CHAPTER04.ipynb A Basic_electrical_and_electronics_engineering_-1_by_S_K_Bhattacharya_and_debasish_de/CHAPTER05.ipynb A Basic_electrical_and_electronics_engineering_-1_by_S_K_Bhattacharya_and_debasish_de/CHAPTER06.ipynb A Basic_electrical_and_electronics_engineering_-1_by_S_K_Bhattacharya_and_debasish_de/CHAPTER07.ipynb A Basic_electrical_and_electronics_engineering_-1_by_S_K_Bhattacharya_and_debasish_de/CHAPTER08.ipynb A Basic_electrical_and_electronics_engineering_-1_by_S_K_Bhattacharya_and_debasish_de/screenshots/Screenshot02.png A Basic_electrical_and_electronics_engineering_-1_by_S_K_Bhattacharya_and_debasish_de/screenshots/Screenshot04.png A Basic_electrical_and_electronics_engineering_-1_by_S_K_Bhattacharya_and_debasish_de/screenshots/Screenshot06.png A Power_System_Operation_and_Control_by_B._R._Gupta/Chapter1.ipynb A Power_System_Operation_and_Control_by_B._R._Gupta/Chapter2.ipynb A Power_System_Operation_and_Control_by_B._R._Gupta/Chapter3.ipynb A Power_System_Operation_and_Control_by_B._R._Gupta/Chapter4.ipynb A Power_System_Operation_and_Control_by_B._R._Gupta/Chapter5.ipynb A Power_System_Operation_and_Control_by_B._R._Gupta/Chapter6.ipynb A Power_System_Operation_and_Control_by_B._R._Gupta/screenshots/Ch1-EnergyLadCurveAndMassCurve.png A Power_System_Operation_and_Control_by_B._R._Gupta/screenshots/Ch2-LoadGeneration.png A Power_System_Operation_and_Control_by_B._R._Gupta/screenshots/Ch2-ReceivedPower.png --- .../CHAPTER06.ipynb | 380 +++++++++++++++++++++ 1 file changed, 380 insertions(+) create mode 100644 Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER06.ipynb (limited to 'Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER06.ipynb') diff --git a/Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER06.ipynb b/Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER06.ipynb new file mode 100644 index 00000000..3fe5c8b4 --- /dev/null +++ b/Analog_and_Digital_Communications_by_H_P_Hsu/CHAPTER06.ipynb @@ -0,0 +1,380 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:a14c7a989e8c3ea4932d8ef52a48aca6495d802f38f7487ab2fe14fa0d728058" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "CHAPTER06:PROBABILITY AND RANDOM VARIABLES" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example E07 : Pg 6.16" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Page Number: 6.16\n", + "# Example 6.7\n", + "# Given\n", + "# Pdot=2*Pdash and Pdot+Pdash=1\n", + "# Therfore, on solving using linear equations\n", + "import math \n", + "#a=([1, -2],[1, 1]);\n", + "##c=([0],[1]);\n", + "#b=1/(a)*c;\n", + "Pdash=0.3333333;#b(1,1);\n", + "Pdot=0.6666667;#b(2,1);\n", + "print'Pdot:',Pdot\n", + "print'Pdash:',Pdash" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Pdot: 0.6666667\n", + "Pdash: 0.3333333\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example E14 : Pg 6.18" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Page Number: 6.18\n", + "# Example 6.14\n", + "# Given\n", + "p=0.1;\n", + "q=0.2;\n", + "Pm0=0.5;\n", + "Pr1bym0=p;\n", + "Pr0bym1=q;\n", + "# (a) Find Pr0 and Pr1\n", + "Pm1=1-Pm0;\n", + "Pr0bym0=1-Pr1bym0;\n", + "Pr1bym1=1-Pr0bym1;\n", + "\n", + "# By formula\n", + "# P(r0)=(P(r0/m0)*P(m0))+(P(r0/m1)*P(m1);\n", + "# P(r1)=(P(r1/m0)*P(m0))+(P(r1/m1)*P(m1);\n", + "Pr0=(Pr0bym0*Pm0)+(Pr0bym1*Pm1);\n", + "Pr1=(Pr1bym0*Pm0)+(Pr1bym1*Pm1);\n", + "print'P(r0):',Pr0\n", + "print'P(r1):',Pr1\n", + "# (b)P(m0/r0)\n", + "# Using Bayes Rule\n", + "# P(m0/r0)=(P(m0)*P(r0/m0)/P(r0))\n", + "Pm0byr0=(Pm0*Pr0bym0)/Pr0;\n", + "print'P(m0/r0):',Pm0byr0\n", + "# (c)P(m1/r1)\n", + "# Using Bayes Rule\n", + "# P(m1/r1)=(P(m1)*P(r1/m1)/P(r1))\n", + "Pm1byr1=(Pm1*Pr1bym1)/Pr1;\n", + "print'P(m1/r1):',Pm1byr1\n", + "\n", + "# (d)Probabilty error\n", + "# As Pe=(P(r1/m0)*P(m0))+(P(r0/m1)*P(m1))\n", + "Pe=(Pr1bym0*Pm0)+(Pr0bym1*Pm1);\n", + "print'Probability error:',Pe\n", + "\n", + "# (e)Probabilty that is transmitted correctly\n", + "# As Pc=(P(r0/m0)*P(m0))+(Pr1bym1*Pm1)\n", + "\n", + "Pc=(Pr0bym0*Pm0)+(Pr1bym1*Pm1);\n", + "print'Probabilty that is transmitted correctly:',Pc" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "P(r0): 0.55\n", + "P(r1): 0.45\n", + "P(m0/r0): 0.818181818182\n", + "P(m1/r1): 0.888888888889\n", + "Probability error: 0.15\n", + "Probabilty that is transmitted correctly: 0.85\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example E16 : Pg 6.21" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Page Number: 6.21\n", + "# Example 6.16\n", + "# Given\n", + "p=0.4;\n", + "Pp=p;\n", + "q=0.3;\n", + "Pn=q;\n", + "a=1.; # i start value\n", + "b=6.; # i end value\n", + "# (a)Probabilty that all pulses are positive\n", + "s=1.;\n", + "for i in range(1,6):\n", + " s=s*Pp;\n", + "print'Probabilty that all pulses are positive:',s\n", + "\n", + "# (b)Pulses are positive ,positive, positive, zero,zero,negative\n", + "Pz=1.-(p+q);\n", + "s1=(Pp**3.)*(Pz**2.)*Pn;\n", + "print'Probabilty that all pulses are positive ,positive, positive, zero,zero,negative:',s1" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Probabilty that all pulses are positive: 0.01024\n", + "Probabilty that all pulses are positive ,positive, positive, zero,zero,negative: 0.001728\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example E17 : Pg 6.21" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Page Number: 6.21\n", + "# Example 6.17\n", + "# Given\n", + "import math \n", + "P1=0.6;\n", + "P0=0.4;\n", + "n=5.; # Five digit sequence\n", + "j=2.; # two outcomes 0 and 1\n", + "\n", + "# (a)1,1,0,0,0\n", + "xf=(math.factorial(n))/((math.factorial(j))*(math.factorial(n-j)));\n", + "s=xf*(P1**j)*(P0**(n-j));\n", + "print'Probability for 1,1,0,0,0:',s\n", + "\n", + "# (b)atleast 3 1's\n", + "# P(X>=3)=1-P(X<=2)\n", + "# Here y=1-x\n", + "x=0;\n", + "for k in range(0,2):\n", + " f=(math.factorial(n))/((math.factorial(k))*(math.factorial(n-k)));\n", + " x=x+(f*((P1**k)*(P0**(n-k))));\n", + "y=1.-x;\n", + "print'Probability for atleast three 1 s:',y" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Probability for 1,1,0,0,0: 0.2304\n", + "Probability for atleast three 1 s: 0.91296\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example E20 : Pg 6.23" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Page Number: 6.23\n", + "# Example 6.20\n", + "# Given\n", + "import math \n", + "pe=0.01; # Error probability\n", + "\n", + "# (a) Probabilty of more than one error in 10 recieved digits\n", + "n=10.;\n", + "# As P(X>1)=1-P(X=0)-P(X=1)\n", + "# Let x=P(X>1)\n", + "# s=P(X=0)+P(X=1)\n", + "s=0;\n", + "for t in range(0,1):\n", + " f=(math.factorial(n))/((math.factorial(t))*(math.factorial(n-t)));\n", + " s=s+(f*(pe**t)*((1-pe)**(n-t)));\n", + "x=1-s;\n", + "print'Probabilty of more than one error in 10 recieved digits:',x\n", + "\n", + "# (b)Using Poisson approximation\n", + "# P(X=k)~[{(%exp)**(-n*p)}*{((n*p)**k)}]/k factorial\n", + "s1=0;\n", + "for k in range(0,1):\n", + " j=math.factorial(k);\n", + " s1=s1+((math.exp(-n*pe))*(((n*pe)**k)))/j;\n", + "x1=1.-s1;\n", + "print'Using Poisson Approximation:',x1" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Probabilty of more than one error in 10 recieved digits: 0.0956179249912\n", + "Using Poisson Approximation: 0.095162581964\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example E23 : Pg 6.23" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Page Number: 6.23\n", + "# Example 6.23\n", + "# We find, k=1/(b-a)\n", + "# (b) if a=1 and b=2,P(|x|=4)=1=P(X<=3)\n", + "P3=0;\n", + "for k in range(0,3):\n", + " f=(math.factorial(n))/((math.factorial(k))*(math.factorial(n-k)));\n", + " P3=P3+(f*(p**k)*((1-p)**(n-k)));\n", + "P4=1.-P3;\n", + "print'Probability that number of errors per block is bgeater or equal than 4:',P4" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Average errors per block: 0.16\n", + "Varience of errors per block: 0.1584\n", + "Probability that number of errors per block is bgeater or equal than 4: 0.000507942409291\n" + ] + } + ], + "prompt_number": 7 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file -- cgit