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+{
+ "metadata": {
+ "name": "Chapter_15"
+ },
+ "nbformat": 2,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "source": [
+ "<h1>Chapter 15: Active Filters<h1>"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "source": [
+ "<h3>Example 15.1, Page Number: 491<h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "%matplotlib inline"
+ ],
+ "language": "python",
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "",
+ "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].",
+ "For more information, type 'help(pylab)'."
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "",
+ "f0=15*10**3; #center frequency in hertz",
+ "BW=1*10**3;",
+ "Q=f0/BW;",
+ "if Q>10:",
+ " print('narrow band filter, Q = %d'%Q)"
+ ],
+ "language": "python",
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "narrow band filter, Q = 15"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "markdown",
+ "source": [
+ "<h3>Example 15.2, Page Number: 494<h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "",
+ "R2=10*10**3;",
+ "R1=0.586*R2; #FOR BUTTERWORTH RESPONSE",
+ "print('R1 in ohms =%d'%R1)",
+ "print('5.6kilo ohm will be ideally close to maximally flat butterworth response')"
+ ],
+ "language": "python",
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "R1 in ohms =5860",
+ "5.6kilo ohm will be ideally close to maximally flat butterworth response"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "markdown",
+ "source": [
+ "<h3>Example 15.3, Page Number: 496<h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "",
+ "import math",
+ "R_A=1*10**3;",
+ "R2=1*10**3;",
+ "R_B=R_A;",
+ "R=R_A;",
+ "C_A=0.022*10**-6;",
+ "C_B=C_A;",
+ "C=C_A;",
+ "f_c=1/(2*math.pi*R*C); #critical frequency",
+ "R1=0.586*R2; #for butterworth response",
+ "print('critical frequency in hertz =%f'%f_c)",
+ "print('value of R1 in ohms = %d'%R1)"
+ ],
+ "language": "python",
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "critical frequency in hertz =7234.315595",
+ "value of R1 in ohms = 586"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "markdown",
+ "source": [
+ "<h3>Example 15.4, Page Number: 498<h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "",
+ "import math",
+ "f_c=2860.0;",
+ "R=1.8*10**3;",
+ "C=1/(2*math.pi*f_c*R);",
+ "R2=R;",
+ "R1=0.152*R2; #BUTTERWORTH RESPONSE IN FIRST STAGE",
+ "R4=R;",
+ "R3=1.235*R4; #BUTTERWORTH RESPONSE IN SECOND STAGE",
+ "C=C*10**8",
+ "print('capacitance in farads = %f *10^-8'%C);",
+ "print('R1 in ohms for butterworth response in first stage = %.1f'%R1)",
+ "print('R3 in ohms for butterworth response in second stage = %d'%R3)"
+ ],
+ "language": "python",
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "capacitance in farads = 3.091588 *10^-8",
+ "R1 in ohms for butterworth response in first stage = 273.6",
+ "R3 in ohms for butterworth response in second stage = 2223"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "markdown",
+ "source": [
+ "<h3>Example 15.5, Page Number: 500<h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "",
+ "import math",
+ "f_c=10*10**3; #critical frequency in hertz",
+ "R=33*10**3; #Assumption",
+ "R2=R;",
+ "C=1/(2*math.pi*f_c*R);",
+ "R1=0.586*R2; #for butterworth response",
+ "C=C*10**10",
+ "print('Capacitance in Farads = %f * 10^-10'%C)",
+ "print('R1 in ohms taking R2=33kilo-ohms = %d'%R1)",
+ "R1=3.3*10**3; #Assumption",
+ "R2=R1/0.586; #butterworth response",
+ "print('R2 in ohms taking R1=3.3kilo-ohms = %f'%R2)"
+ ],
+ "language": "python",
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Capacitance in Farads = 4.822877 * 10^-10",
+ "R1 in ohms taking R2=33kilo-ohms = 19338",
+ "R2 in ohms taking R1=3.3kilo-ohms = 5631.399317"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "markdown",
+ "source": [
+ "<h3>Example 15.6, Page Number:503<h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "",
+ "import math",
+ "R1=68.0*10**3;",
+ "R2=180.0*10**3;",
+ "R3=2.7*10**3;",
+ "C=0.01*10**-6;",
+ "f0=(math.sqrt((R1+R3)/(R1*R2*R3)))/(2*math.pi*C);",
+ "A0=R2/(2*R1);",
+ "Q=math.pi*f0*C*R2;",
+ "BW=f0/Q;",
+ "print('center frequency in hertz = %f'%f0)",
+ "print('maximum gain = %f'%A0)",
+ "print('bandwidth in hertz = %f'%BW)"
+ ],
+ "language": "python",
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "center frequency in hertz = 736.134628",
+ "maximum gain = 1.323529",
+ "bandwidth in hertz = 176.838826"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "markdown",
+ "source": [
+ "<h3>Example 15.7, Page Number: 504<h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "",
+ "import math",
+ "R4=1000.0;",
+ "C1=0.022*10**-6;",
+ "R7=R4;",
+ "C2=C1;",
+ "R6=R4;",
+ "R5=100.0*10**3;",
+ "f_c=1/(2*math.pi*R4*C1); #critical frequency in hertz for each integrator",
+ "f0=f_c #center frequency",
+ "Q=(1+(R5/R6))/3;",
+ "BW=f0/Q;",
+ "print('center frequency in hertz = %f'%f0)",
+ "print('value of Q = %f'%Q)",
+ "print('bandwidth in hertz = %f'%BW)"
+ ],
+ "language": "python",
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "center frequency in hertz = 7234.315595",
+ "value of Q = 33.666667",
+ "bandwidth in hertz = 214.880661"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "markdown",
+ "source": [
+ "<h3>Example 15.8, Page Number: 507<h3>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "",
+ "import math",
+ "R4=12.0*10**3;",
+ "C1=0.22*10**-6;",
+ "R7=R4;",
+ "C2=C1;",
+ "R6=3.3*10**3;",
+ "Q=10;",
+ "f0=1/(2*math.pi*R7*C2);",
+ "R5=(3*Q-1)*R6;",
+ "print('center frequency in hertz = %f'%f0)",
+ "print('R5 in ohms = %d'%R5)",
+ "print('Nearest value is 100 kilo-ohms')"
+ ],
+ "language": "python",
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "center frequency in hertz = 60.285963",
+ "R5 in ohms = 95700",
+ "Nearest value is 100 kilo-ohms"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ }
+ ]
+ }
+ ]
+} \ No newline at end of file
generated by cgit (git 2.34.1) at 2024-12-19 19:27:20 +0000