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德州仪器--有源低通滤波器设计 Active Low-pass Filter Design
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<html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta charset="utf-8"> <meta name="generator" content="pdf2htmlEX"> <meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1"> <link rel="stylesheet" href="https://static.pudn.com/base/css/base.min.css"> <link rel="stylesheet" href="https://static.pudn.com/base/css/fancy.min.css"> <link rel="stylesheet" href="https://static.pudn.com/prod/directory_preview_static/622baa9415da9b288b4f0eff/raw.css"> <script src="https://static.pudn.com/base/js/compatibility.min.js"></script> <script src="https://static.pudn.com/base/js/pdf2htmlEX.min.js"></script> <script> try{ pdf2htmlEX.defaultViewer = new pdf2htmlEX.Viewer({}); }catch(e){} </script> <title></title> </head> <body> <div id="sidebar" style="display: none"> <div id="outline"> </div> </div> <div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://static.pudn.com/prod/directory_preview_static/622baa9415da9b288b4f0eff/bg1.jpg"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">Application Report</div><div class="t m1 x2 h3 y2 ff1 fs1 fc0 sc0 ls1 ws1">SLOA049A - October 2000</div><div class="t m2 x3 h4 y3 ff1 fs2 fc0 sc0 ls0 ws2">1</div><div class="t m1 x4 h5 y4 ff2 fs3 fc0 sc0 ls2 ws3">Active Low-Pass Filter Design</div><div class="t m3 x5 h6 y5 ff1 fs4 fc0 sc0 ls3 ws4">Jim Karki<span class="_ _0"> </span>A<span class="_ _1"></span>A<span class="_ _1"></span>P <span class="_ _1"></span>P<span class="_ _1"></span>r<span class="_ _1"></span>e<span class="_ _1"></span>c<span class="_ _1"></span>i<span class="_ _1"></span>s<span class="_ _1"></span>i<span class="_ _1"></span>on <span class="_ _1"></span>A<span class="_ _1"></span>n<span class="_ _1"></span>a<span class="_ _1"></span>l<span class="_ _1"></span>o<span class="_ _1"></span>g</div><div class="t m2 x6 h7 y6 ff2 fs5 fc0 sc0 ls4 ws5">ABSTRACT</div><div class="t m2 x7 h8 y7 ff1 fs5 fc0 sc0 ls0 ws6">This report focuses on active low-pass filter design using operational amplifiers. Low-pass</div><div class="t m2 x7 h8 y8 ff1 fs5 fc0 sc0 ls0 ws7">filters are commonly used to implement antialias filters in data-acquisition systems. Design</div><div class="t m2 x7 h8 y9 ff1 fs5 fc0 sc0 ls5 ws8">of second-order filters is the main topic of consideration.</div><div class="t m2 x7 h8 ya ff1 fs5 fc0 sc0 ls0 ws9">Filter tables are developed to simplify circuit design based on the idea of cascading lower-</div><div class="t m2 x7 h8 yb ff1 fs5 fc0 sc0 ls0 wsa">order stages to realize higher-order filters. The tables contain scaling factors for the corner</div><div class="t m2 x7 h8 yc ff1 fs5 fc0 sc0 ls0 wsb">frequency and the required Q of each of the stages for the particular filter being designed.</div><div class="t m2 x7 h8 yd ff1 fs5 fc0 sc0 ls0 wsc">This enables the designer to go straight to the calculations of the circuit-component values</div><div class="t m2 x7 h8 ye ff1 fs5 fc0 sc0 ls0 wsc">required.</div><div class="t m2 x7 h8 yf ff1 fs5 fc0 sc0 ls0 wsd">T<span class="_ _2"></span>o illustrate an actual circuit implementation, six circuits, separated into three types of filters</div><div class="t m2 x7 h8 y10 ff1 fs5 fc0 sc0 ls0 wse">(Bessel, Butterworth, and Chebyshev) and two filter configurations (Sallen-Key and MFB),</div><div class="t m2 x7 h8 y11 ff1 fs5 fc0 sc0 ls0 wsf">are built using a TL<span class="_ _3"></span>V2772 operational amplifier<span class="_ _3"></span>. Lab test data presented shows their</div><div class="t m2 x7 h8 y12 ff1 fs5 fc0 sc0 ls0 ws10">performance. Limiting factors in the high-frequency performance of the filters are also</div><div class="t m2 x7 h8 y13 ff1 fs5 fc0 sc0 ls0 ws10">examined.</div><div class="t m2 x8 h7 y14 ff2 fs5 fc0 sc0 ls0 ws10">Contents</div><div class="t m2 x9 h7 y15 ff2 fs5 fc0 sc0 ls0 ws10">1<span class="_ _4"> </span>Introduction<span class="_ _5"> </span><span class="ws2">2<span class="_ _6"></span><span class="ws11">. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </span></span></div><div class="t m2 x9 h7 y16 ff2 fs5 fc0 sc0 ls6 ws12">2<span class="_ _4"> </span>Filter Characteristics<span class="_ _7"> </span><span class="ls0 ws2">3<span class="_ _8"></span><span class="ws13">. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </span></span></div><div class="t m2 x9 h7 y17 ff2 fs5 fc0 sc0 ls5 ws8">3<span class="_ _4"> </span>Second-Order Low-Pass Filter &#8211; Standard Form<span class="_ _9"> </span>3<span class="_ _a"></span><span class="ls0 ws13">. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </span></div><div class="t m2 x9 h7 y18 ff2 fs5 fc0 sc0 ls6 ws14">4<span class="_ _4"> </span>Math Review<span class="_ _b"> </span><span class="ls0 ws2">4<span class="_ _6"></span><span class="ws11">. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </span></span></div><div class="t m2 x9 h7 y19 ff2 fs5 fc0 sc0 ls0 ws11">5<span class="_ _4"> </span>Examples<span class="_ _c"> </span><span class="ws2">4<span class="_ _d"></span><span class="ws11">. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </span></span></div><div class="t m2 xa h8 y1a ff1 fs5 fc0 sc0 ls5 ws15">5.1<span class="_ _e"> </span>Second-Order Low-Pass Butterworth Filter<span class="_ _f"> </span>5<span class="_ _10"></span><span class="ls0 ws13">. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </span></div><div class="t m2 xa h8 y1b ff1 fs5 fc0 sc0 ls0 ws16">5.2<span class="_ _e"> </span>Second-Order Low-Pass Bessel Filter<span class="_ _11"> </span>5<span class="_ _12"></span><span class="ws13">. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </span></div><div class="t m2 xa h8 y1c ff1 fs5 fc0 sc0 ls5 ws16">5.3<span class="_ _e"> </span>Second-Order Low-Pass Chebyshev Filter With 3-dB Ripple<span class="_ _13"> </span>5<span class="_ _14"></span><span class="ls0 ws13">. . . . . . . . . . . . . . . . . . . . . . . . . . . </span></div><div class="t m2 x9 h7 y1d ff2 fs5 fc0 sc0 ls0 ws17">6<span class="_ _4"> </span>Low-Pass Sallen-Key Architecture<span class="_ _15"> </span>6<span class="_ _16"></span><span class="ws13">. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </span></div><div class="t m2 x9 h7 y1e ff2 fs5 fc0 sc0 ls0 ws18">7<span class="_ _4"> </span>Low-Pass Multiple-Feedback (MFB) Architecture<span class="_ _17"> </span>7<span class="_ _a"></span><span class="ws13">. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </span></div><div class="t m2 x9 h7 y1f ff2 fs5 fc0 sc0 ls6 ws19">8<span class="_ _4"> </span>Cascading Filter Stages<span class="_ _18"> </span>8<span class="_ _19"></span><span class="ls0 ws13">. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </span></div><div class="t m2 x9 h7 y20 ff2 fs5 fc0 sc0 ls7 ws1a">9<span class="_ _4"> </span>Filter T<span class="_ _3"></span>ables<span class="_ _5"> </span><span class="ls0 ws2">8<span class="_ _6"></span><span class="ws11">. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </span></span></div><div class="t m2 x9 h7 y21 ff2 fs5 fc0 sc0 ls5 ws1b">10<span class="_ _1a"> </span>Example Circuit T<span class="_ _3"></span>est Results<span class="_ _1b"> </span>1<span class="_ _3"></span>1<span class="_ _1c"></span><span class="ls0 ws13">. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </span></div><div class="t m2 x9 h7 y22 ff2 fs5 fc0 sc0 ls0 ws1c">1<span class="_ _3"></span>1<span class="_ _1d"> </span>Nonideal Circuit Operation<span class="_ _1e"> </span>14<span class="_ _1f"></span><span class="ws13">. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </span></div><div class="t m2 xa h8 y23 ff1 fs5 fc0 sc0 ls5 ws1a">1<span class="_ _3"></span>1.1<span class="_"> </span>Nonideal Circuit Operation &#8211; Sallen-Key<span class="_ _20"> </span>14<span class="_ _21"></span><span class="ls0 ws13">. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </span></div><div class="t m2 xa h8 y24 ff1 fs5 fc0 sc0 ls5 ws1b">1<span class="_ _3"></span>1.2<span class="_"> </span>Nonideal Circuit Operation &#8211; MFB<span class="_ _22"> </span>16<span class="_ _23"></span><span class="ls0 ws13">. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </span></div><div class="t m2 x9 h7 y25 ff2 fs5 fc0 sc0 ls5 ws1d">12<span class="_ _1a"> </span>Comments About Component Selection<span class="_ _24"> </span>17<span class="_ _12"></span><span class="ls0 ws13">. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </span></div><div class="t m2 x9 h7 y26 ff2 fs5 fc0 sc0 ls0 ws13">13<span class="_ _1a"> </span>Conclusion<span class="_ _25"> </span>17<span class="_ _26"></span>. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </div><div class="t m2 x9 h7 y27 ff2 fs5 fc0 sc0 ls0 ws1e">Appendix A<span class="_ _27"> </span>Filter-Design <span class="_ _28"></span>Specifications<span class="_ _29"> </span>19<span class="_ _2a"></span><span class="ws13">. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . </span></div></div><div class="pi" data-data='{"ctm":[1.568627,0.000000,0.000000,1.568627,0.000000,0.000000]}'></div></div> </body> </html>
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