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| author | hardythe1 | 2015-06-03 15:27:17 +0530 |
|---|---|---|
| committer | hardythe1 | 2015-06-03 15:27:17 +0530 |
| commit | df60071cf1d1c18822d34f943ab8f412a8946b69 (patch) | |
| tree | ab059cf19bad4a1233a464ccf5d72cf8b3fb323c /Analog_and_digital_communication/Chapter6.ipynb | |
| parent | fba055ce5aa0955e22bac2413c33493b10ae6532 (diff) | |
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diff --git a/Analog_and_digital_communication/Chapter6.ipynb b/Analog_and_digital_communication/Chapter6.ipynb new file mode 100755 index 00000000..c8a6cc8e --- /dev/null +++ b/Analog_and_digital_communication/Chapter6.ipynb @@ -0,0 +1,785 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:aabc27335f32d474a45f64beecf83a23fa9bf81cfd70dd0ed540cf40b23a5726"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 6 - Noise"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 1 - pg 281"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the RMS noise voltage\n",
+ "import math\n",
+ "#given\n",
+ "R = 10.*10**3#resistance of amplifier in ohms\n",
+ "T = 273.+27#temperature in kelvin\n",
+ "B = (20.-18)*10**6#bandwidth\n",
+ "k = 1.38*10**-23#boltzman's constant\n",
+ "\n",
+ "#calculations\n",
+ "V_n = math.sqrt(4*R*k*T*B)*10**6;#rms noise voltage\n",
+ "\n",
+ "#result\n",
+ "print \"Rms noise voltage (muV) = \",round(V_n,2)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Rms noise voltage (muV) = 18.2\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 2 - pg 281"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the RMS noise voltage\n",
+ "import math\n",
+ "#given\n",
+ "R_1 = 300.#equivalent noise resistance\n",
+ "R_2 = 400.#input resistance\n",
+ "T = 273+27.#temperature in kelvin\n",
+ "B = 7.*10**6#bandwidth\n",
+ "k = 1.38*10**-23#boltzman's constant\n",
+ "\n",
+ "#calculations\n",
+ "R_s = R_1 +R_2#effective resistance in series\n",
+ "V_nr = math.sqrt(4*k*T*B*R_s)*10**6#rms noise voltage\n",
+ "\n",
+ "#result \n",
+ "print \"Rms noise voltage (muV) = \",round(V_nr,0)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Rms noise voltage (muV) = 9.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 3 - pg 282"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the Noise voltage in all cases\n",
+ "import math\n",
+ "from math import sqrt\n",
+ "#given\n",
+ "R_1 = 20*10**3#resistance one\n",
+ "R_2 = 50*10**3#resistance two\n",
+ "T = 273+15#temperature in kelvin\n",
+ "B = 100*10**3#bandwidth\n",
+ "k = 1.38*10**-23#boltzman's constant\n",
+ "\n",
+ "#calculations\n",
+ "R_s = R_1 +R_2#series effective resistance\n",
+ "R_p = (R_1*R_2)/(R_1 + R_2)#parallel effective resistance\n",
+ "V_1 = sqrt(4*k*T*R_1*B)*10**6#noise voltage in R_1\n",
+ "V_2 = sqrt(4*k*T*R_1*B)*10**6#noise voltage in R_2\n",
+ "V_s = sqrt(4*k*T*R_s*B)*10**6#noise voltage when resistance connected in series\n",
+ "V_p = sqrt(4*k*T*R_p*B)*10**6#noise voltage when resistance connected in parallel\n",
+ "\n",
+ "#results\n",
+ "print \"i.Noise voltage due to R_1 (muV) = \",round(V_1,2)\n",
+ "print \"ii.Noise voltage due to R_2 (muV) = \",round(V_2,2)\n",
+ "print \"iii.Noise voltage due to two resistance in series (muV) = \",round(V_s,2)\n",
+ "print \"iv.Noise voltage due to two resistance in parallel (muV) = \",round(V_p,2)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "i.Noise voltage due to R_1 (muV) = 5.64\n",
+ "ii.Noise voltage due to R_2 (muV) = 5.64\n",
+ "iii.Noise voltage due to two resistance in series (muV) = 10.55\n",
+ "iv.Noise voltage due to two resistance in parallel (muV) = 4.77\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 4 - pg 283"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the Equivalent input noise resistance\n",
+ "\n",
+ "#given\n",
+ "A_1 = 10.#voltage gain for first stage\n",
+ "A_2 = 25.#volatage gain for second stage\n",
+ "R_i1 = 600.#input resistance for first stage in ohms\n",
+ "R_eq1 = 1600.#equivalent noise resistance for first stage \n",
+ "R_01 = 27.*10**3#Output resistance for first stage \n",
+ "R_i2 = 81.*10**3#input resistance for second stage\n",
+ "R_eq2 = 10.*10**3#Equivalent noise resistance for second stage \n",
+ "R_02 = 1.*10**6#putput resistance for second case\n",
+ "\n",
+ "#calculations\n",
+ "R_1 = R_i1 + R_eq1\n",
+ "R_2 = ((R_01*R_i2)/(R_01+R_i2)) + R_eq2\n",
+ "R_3 = R_02\n",
+ "R_eq = R_1 + (R_2/A_1**2) + R_3/(A_1**2 *A_2**2);\n",
+ "\n",
+ "#results\n",
+ "print \"Equivalent input noise resistance (Ohms) = \",round(R_eq,0)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Equivalent input noise resistance (Ohms) = 2519.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 7 - pg 295"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the output voltage\n",
+ "import math\n",
+ "#given\n",
+ "T = 273. + 17#temperature in kelvin\n",
+ "Q = 10.#quality factor\n",
+ "c = 10.*10**-12#capacitance\n",
+ "f_r = 100.*10**6#resonate frequency\n",
+ "k = 1.38*10**-23#boltzman's constant\n",
+ "\n",
+ "#calculations\n",
+ "delta_f = f_r/Q#bandwidth of the tuned circuit\n",
+ "w = 2*math.pi*f_r;#angular frequency\n",
+ "R = 1/(Q*w*c);#resistance\n",
+ "V_no = math.sqrt(4*k*Q**2*T*delta_f*R)*10**6 #output voltage\n",
+ "\n",
+ "#results\n",
+ "print \"Output voltge (V) = \",round(V_no,0)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Output voltge (V) = 16.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 8 - pg 297"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the Noise figure and Equivalent temperature\n",
+ "import math\n",
+ "#given\n",
+ "R_a = 50.#antenna resistance\n",
+ "R_eq = 30.#equivalent noise resistance of receiver\n",
+ "T_0 = 290.#initial temperature in degree kelvin\n",
+ "#calculations\n",
+ "F = 1+(R_eq/R_a);#noise figure\n",
+ "F_dB = 10*math.log10(F)#noise figure in decibels\n",
+ "T_eq = T_0*(F-1)#equivalent temperature\n",
+ "\n",
+ "#results\n",
+ "print \"i.Noise figure in decibels (dB) = \",round(F_dB,2)\n",
+ "print \"ii.Equivalent temperature (degree kelvin) = \",T_eq\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "i.Noise figure in decibels (dB) = 2.04\n",
+ "ii.Equivalent temperature (degree kelvin) = 174.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9 - pg 302"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the Noise figure\n",
+ "import math\n",
+ "#given\n",
+ "R_eq = 2518.#equivalent resistance in ohms\n",
+ "R_t = 600.#input impedence in ohms\n",
+ "R_a= 50.#output impedencre in ohms\n",
+ "\n",
+ "#calculations\n",
+ "R_eq1 = R_eq - R_t;\n",
+ "F = 1 + (R_eq1/R_a) #noise figure\n",
+ "F_dB = 10*math.log10(F)#noise figure in dB\n",
+ "\n",
+ "#results\n",
+ "print \"Noise figure in dB = \",round(F_dB,2)\n",
+ "print \"Note:Calculation mistake is their in text book in finding noise figure in dB\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Noise figure in dB = 15.95\n",
+ "Note:Calculation mistake is their in text book in finding noise figure in dB\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 10 - pg 305"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the Overall noise figure\n",
+ "import math\n",
+ "from math import exp, log10,log\n",
+ "#given\n",
+ "F_1 = 2.#noise figure of first stage in dB\n",
+ "A_1 = 12.#gain in first stage in dB\n",
+ "F_2 = 6.#noise figure of second stage in dB\n",
+ "A_2 = 10.#gain in first second in dB \n",
+ "\n",
+ "\n",
+ "#calculations\n",
+ "F_1ratio = exp((F_1/10)*log(10));#noise figure of first stage in ratio \n",
+ "F_2ratio = exp((F_2/10)*log(10));#noise figure of second stage in ratio \n",
+ "A_1ratio = exp((A_1/10)*log(10));#gain of first stage in ratio\n",
+ "A_2ratio = exp((A_2/10)*log(10));#gain of second stage in ratio\n",
+ "F = F_1ratio + ((F_2ratio - 1)/(A_1ratio));#Overall noise figure \n",
+ "F_dB = 10*log10(F);#Overall noise figure in dB\n",
+ "\n",
+ "#results\n",
+ "print \"Overall noise figure (dB) = \",round(F_dB ,1)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Overall noise figure (dB) = 2.5\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 11 - pg 306"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the Overall noise figure\n",
+ "import math\n",
+ "from math import exp, log10,log\n",
+ "#given\n",
+ "F_1 = 9.#noise figure for first stage in dB\n",
+ "F_2 = 20.#noise figure for second stage in dB\n",
+ "A_1 = 15.#gain in first stage in dB\n",
+ "\n",
+ "#calculations\n",
+ "F_1ratio = exp((F_1/10)*log(10));#noise figure of first stage in ratio \n",
+ "F_2ratio = exp((F_2/10)*log(10));#noise figure of second stage in ratio \n",
+ "A_1ratio = exp((A_1/10)*log(10));#gain of first stage in ratio\n",
+ "F = F_1ratio + ((F_2ratio - 1)/(A_1ratio));\n",
+ "F_dB = 10*log10(F);\n",
+ " \n",
+ "#results\n",
+ "print \"Overall noise figure (dB) = \", round(F_dB,2)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Overall noise figure (dB) = 10.44\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12 - pg 307"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the rms noise voltage\n",
+ "import math\n",
+ "#given\n",
+ "f_1 = 18.*10**6#lower operating frequency in Hz\n",
+ "f_2 = 20.*10**6#lower operating frequency in Hz\n",
+ "T = 273. + 17#temperature in kelvin\n",
+ "R = 10.*10**3#input resistance\n",
+ "k = 1.38*10**-23#boltzman's constant\n",
+ "\n",
+ "#calculations\n",
+ "B = f_2 - f_1#bandwidth in Hz\n",
+ "V_n = math.sqrt(4*k*B*R*T)*10**6;#rms noise voltage\n",
+ "\n",
+ "#results\n",
+ "print \"rms noise voltage (muV) = \",round(V_n,1)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "rms noise voltage (muV) = 17.9\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 14 - pg 308"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the Meter reading, resistance\n",
+ "\n",
+ "#given\n",
+ "A = 60.#gain of noiseless amplifier\n",
+ "V_n1 = 1.*10**-3#output of the amplifier\n",
+ "B = 20.*10**3#initial bandwidth\n",
+ "B1 = 5.*10**3#change in bandwidth\n",
+ "k = 1.38*10**-23#boltzman's constant\n",
+ "T = 273. + 80#temperature in degree kelvin\n",
+ "\n",
+ "#calculaitons\n",
+ "#since the bandwidth is reesuced to 1/4th of its value,therefore the noise voltage \n",
+ "#will be V_n proportional to sqrt(B)\n",
+ "#Hence, the noise voltage at 5KHz will become half its value at 20KHz bandwidth i.e,\n",
+ "V_n = .5*10**-3#noise voltage in volts\n",
+ "V_no = V_n1/A;#noise ouput voltage \n",
+ "R = (V_no**2/(4*k * T * B ));#resistance at 80degree celcius\n",
+ "\n",
+ "#results\n",
+ "print \"i.Meter reading in volts (V) = \",V_n\n",
+ "print \"ii.Resistance at 80 degree celcius (kohms) = \",round(R/1000.,0)\n",
+ "print \"Note: There is calculation mistake in textbook in the measurement of resistance they took constant in formula as 1 instead of 4\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "i.Meter reading in volts (V) = 0.0005\n",
+ "ii.Resistance at 80 degree celcius (kohms) = 713.0\n",
+ "Note: There is calculation mistake in textbook in the measurement of resistance they took constant in formula as 1 instead of 4\n"
+ ]
+ }
+ ],
+ "prompt_number": 12
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 16 - pg 309"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the Overall noise figure\n",
+ "import math\n",
+ "from math import exp, log10,log\n",
+ "#given\n",
+ "A_1 = 10.#gain in first stage in dB\n",
+ "A_2 = 10.#gain in second stage in dB\n",
+ "A_3 = 10.#gain in third stage in dB\n",
+ "F_1 = 6.#noise figure for first stage in dB\n",
+ "F_2 = 6.#noise figure for second stage in dB\n",
+ "F_3 = 6.#noise figure for third stage in dB\n",
+ "\n",
+ "#calculations\n",
+ "F_1ratio = exp((F_1/10)*log(10));#noise figure of first stage in ratio \n",
+ "F_2ratio = exp((F_2/10)*log(10));#noise figure of second stage in ratio \n",
+ "F_3ratio = exp((F_3/10)*log(10));#noise figure in third stage in ratio \n",
+ "A_1ratio = exp((A_1/10)*log(10));#gain of first stage in ratio\n",
+ "A_2ratio = exp((A_2/10)*log(10));#gain of second stage in ratio\n",
+ "A_3ratio = exp((A_3/10)*log(10));#gain of third stage in ratio\n",
+ "F = F_1ratio + ((F_2ratio - 1)/(A_1ratio)) + ((F_3ratio - 1)/(A_2ratio*A_1ratio));#Overall noise figure\n",
+ "\n",
+ "#results\n",
+ "print \"Overall noise figure of three stage cascaded amplifier = \",round(F,2)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Overall noise figure of three stage cascaded amplifier = 4.31\n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 17 - pg 310"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the Overall noise figure\n",
+ "import math\n",
+ "from math import exp, log10,log\n",
+ "#given\n",
+ "G_1 = 10.#gain in first stage in dB\n",
+ "#noise figure for both the stages are same\n",
+ "F_1 = 10.#noise figure for first stage in dB\n",
+ "F_2 = 10.#noise figure for second stage in dB\n",
+ "\n",
+ "#calculations\n",
+ "F_1ratio = exp((F_1/10)*log(10));#noise figure of first stage in ratio \n",
+ "F_2ratio = exp((F_2/10)*log(10));#noise figure of second stage in ratio \n",
+ "G_1ratio = exp((G_1/10)*log(10));#gain of first stage in ratio\n",
+ "F = F_1ratio + ((F_2ratio - 1)/(G_1ratio));#Overall noise figure\n",
+ "F_dB= 10*log10(F)##Overall noise figure in dB\n",
+ "\n",
+ "#results\n",
+ "\n",
+ "print \"Overall noise figure (dB) = \", round(F_dB,2)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Overall noise figure (dB) = 10.37\n"
+ ]
+ }
+ ],
+ "prompt_number": 14
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 18 - pg 310"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the overall noise figure and overall gain\n",
+ "import math\n",
+ "from math import exp, log10,log\n",
+ "#given\n",
+ "G_1 = 4.#gain in first stage in dB\n",
+ "G_2 = 10.#gain in second stage in dB\n",
+ "F_1 = 10.#noise figure for first stage in dB\n",
+ "F_2 = 10.#noise figure for second stage in dB\n",
+ "\n",
+ "#calculations\n",
+ "F_1ratio = exp((F_1/10)*log(10));#noise figure of first stage in ratio \n",
+ "F_2ratio= exp((F_2/10)*log(10));#noise figure of second stage in ratio \n",
+ "G_1ratio = exp((G_1/10)*log(10));#gain of first stage in ratio\n",
+ "G_2ratio = exp((G_2/10)*log(10));#gain of second stage in ratio\n",
+ "F = F_1ratio + ((F_2ratio - 1)/(G_1ratio));#Overall noise figure \n",
+ "G = log10(G_1ratio *G_2ratio );\n",
+ "F_dB= 10*log10(F)##Overall noise figure in dB\n",
+ "\n",
+ "#results\n",
+ "print \"i.Overall noise figure (dB) = \",round(F_dB,2)\n",
+ "print \"ii.Overall gain (dB) = \",G \n",
+ "print \"Note:There is mistake in calculation of overall gain in textbook\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "i.Overall noise figure (dB) = 11.33\n",
+ "ii.Overall gain (dB) = 1.4\n",
+ "Note:There is mistake in calculation of overall gain in textbook\n"
+ ]
+ }
+ ],
+ "prompt_number": 15
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 19 - pg 310"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the Overall noise figure\n",
+ "import math\n",
+ "from math import exp, log10,log\n",
+ "#given\n",
+ "G_1 = 15.#gain in first stage in dB\n",
+ "F_1 = 9.#noise figure for first stage in dB\n",
+ "F_2 = 20.#noise figure for second stage in dB\n",
+ "\n",
+ "#calculations\n",
+ "F_1ratio = exp((F_1/10)*log(10));#noise figure of first stage in ratio \n",
+ "F_2ratio = exp((F_2/10)*log(10));#noise figure of second stage in ratio \n",
+ "G_1ratio = exp((G_1/10)*log(10));#gain of first stage in ratio\n",
+ "F = F_1ratio + ((F_2ratio - 1)/(G_1ratio));#Overall noise figure \n",
+ "F_dB= 10*log10(F)##Overall noise figure in dB\n",
+ "\n",
+ "#results\n",
+ "print \"Overall noise figure (dB) = \", round(F_dB,2)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Overall noise figure (dB) = 10.44\n"
+ ]
+ }
+ ],
+ "prompt_number": 16
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 20 - pg 311"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the Noise temperature and overall noise temperature\n",
+ "import math\n",
+ "from math import exp, log10,log\n",
+ "#given\n",
+ "F_2 = 20.#noise figure of receiver in dB\n",
+ "G_1 = 40.#gain of low noise amplifier in dB\n",
+ "T_e1 = 80.#noise temperature of low noise amplifier in degree kelvin\n",
+ "T_0 = 300.#room temperature\n",
+ "\n",
+ "#calculations\n",
+ "F_2ratio = exp((F_2/10)*log(10));#noise figure of receiver in ratio \n",
+ "G_1ratio = exp((G_1/10)*log(10));#gain of low noise amplifier\n",
+ "T_e2 = (F_2ratio-1)*T_0#noise temperature of the receiver in degree kelvin\n",
+ "T_e = T_e1 +(T_e2/G_1ratio)#overall noise temperature in degree kelvin\n",
+ "\n",
+ "#results\n",
+ "print \"i.Noise Temperature of the receiver (degkelvin) = \",T_e2\n",
+ "print \"ii.Overall noise temperature (degkelvin) = \",T_e\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "i.Noise Temperature of the receiver (degkelvin) = 29700.0\n",
+ "ii.Overall noise temperature (degkelvin) = 82.97\n"
+ ]
+ }
+ ],
+ "prompt_number": 17
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 21 - pg 311"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#calculate the overall noise temperature and noise figure\n",
+ "import math\n",
+ "#given from the figure\n",
+ "G_1ratio = 1000.#gain of master amplifier \n",
+ "G_2ratio = 100.#gain of TWT\n",
+ "G_3ratio = 10000.#gain of mixer and IF amplifier\n",
+ "F_2ratio = 4.#noise figure of TWT \n",
+ "F_3ratio = 16.#noise figure of mixer and IF amplifier\n",
+ "T_0 =273 + 17.#ambident temperature in degree kelvin\n",
+ "T_e1 = 5.#temperature of master amplifier in degree kelvin\n",
+ "\n",
+ "#calculaitons\n",
+ "F_1 = 1 + (T_e1/T_0);#noise figure of master amplifier\n",
+ "F = F_1 + ((F_2ratio - 1)/(G_1ratio)) + ((F_3ratio - 1)/(G_2ratio*G_1ratio));#Overall noise figure\n",
+ "F_dB = 10*math.log10(F);#overall noise figure in dB\n",
+ "T_e = (F - 1)*T_0;#overall noise temperature of the receiver \n",
+ "\n",
+ "#results\n",
+ "print \"i.Overall noise temperature of the receiver (degreekelvin) = \",round(T_e,0)\n",
+ "print \"ii.Overall noise figure (dB) = \", round(F_dB,5)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "i.Overall noise temperature of the receiver (degreekelvin) = 6.0\n",
+ "ii.Overall noise figure (dB) = 0.08767\n"
+ ]
+ }
+ ],
+ "prompt_number": 18
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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