<description/> <author>chris</author> <company/> <keywords/> <revisedBy>chris</revisedBy> </userData> <identityInfo> <revision>4</revision> <documentID>A0773574-7460-4B2D-90C3-037862CCEBEA</documentID> <versionID>F9F5F3F4-4359-4402-BB09-C87071A21BED</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="dot" derivative="derivative" literal-subscript="small" definition="colon-equal" 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automatic-recalculation="true" matrix-strict-singularity-check="false" optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC11" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="1856" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="1695" left="54" top="11.25" width="348.75" height="15.75" align-x="54" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false"> <c val="#000080">Capacitativly Coupled Chebychev BPF</c> </inlineAttr> </f> </text> </region> <region region-id="1696" left="300" top="32.25" width="169.5" height="24" align-x="300" align-y="42" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0"> <inlineAttr line-through="false"> <c val="#000080">Chris Haji-Michael www.sunshadow.co.uk/chris.htm</c> </inlineAttr> </f> </text> </region> <region region-id="1828" left="6" top="72" width="470.25" height="171" align-x="6" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{11943940-36DE-11CF-953E-00C0A84029E9}" type="static" item-idref="1"/> <rendering item-idref="2"/> </region> <region region-id="1697" left="12" top="254.25" width="444.75" height="48" align-x="12" align-y="264" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#000080">This sheet is used to design a </c> <f family="Arial" charset="0"> <inlineAttr line-through="false"> <c val="#000080">microwave capacitatively coupled BPF</c> </inlineAttr> </f> <c val="#000080">.<sp count="2"/>The maths for this filter is modified from "Theory & Design of Microwave Filters", Ian Hunter, IEE Press.</c> <c val="#000080"> <sp/> </c> <c val="#000080">The schematic that is designed and simulated is shown above for N=7, BW=50MHz, 30dB return loss.</c> </text> </region> <region region-id="1851" left="288" top="327" width="61.5" height="18.75" align-x="306.75" align-y="342" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">μm</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-6</ml:real> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="1852" left="372" top="327" width="77.25" height="18.75" align-x="390" align-y="342" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">nH</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-9</ml:real> </ml:apply> <ml:id xml:space="preserve">henry</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="1698" left="6" top="336.75" width="195.75" height="14.25" align-x="6" align-y="348" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#000080">Main user input area:</c> </inlineAttr> </f> </text> </region> <region region-id="1701" left="12" top="363" width="44.25" height="15" align-x="39.75" align-y="372" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="ar_db">L</ml:id> <ml:real>30</ml:real> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="1702" left="90" top="362.25" width="117.75" height="12" align-x="90" align-y="372" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#000080">Passband return loss in dB</c> </text> </region> <region region-id="1703" left="12" top="387" width="25.5" height="12.75" align-x="25.5" align-y="396" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">N</ml:id> <ml:real>7</ml:real> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="1704" left="90" top="386.25" width="268.5" height="12" align-x="90" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#000080">Order of the filter, this needs to be above 2 and even numbers.</c> </text> </region> <region region-id="1705" left="12" top="411" width="54.75" height="15" align-x="30.75" align-y="420" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="gm">f</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">GHz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="1813" left="96" top="411" width="47.25" height="15" align-x="111.75" align-y="420" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="o">Z</ml:id> <ml:apply> <ml:mult/> <ml:real>50</ml:real> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="1814" left="168" top="411" width="92.25" height="12.75" align-x="216.75" align-y="420" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">bandwidth</ml:id> <ml:apply> <ml:mult/> <ml:real>50</ml:real> <ml:id xml:space="preserve">MHz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="1708" left="6" top="450.75" width="195.75" height="14.25" align-x="6" align-y="462" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#000080">Start Calculating...</c> </inlineAttr> </f> </text> </region> <region region-id="1709" left="6" top="476.25" width="97.5" height="27.75" align-x="26.25" align-y="492" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="low">f</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="gm">f</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">bandwidth</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="1710" left="132" top="476.25" width="100.5" height="27.75" align-x="154.5" align-y="492" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="high">f</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="gm">f</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">bandwidth</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="1711" left="264" top="474" width="70.5" height="32.25" align-x="282" align-y="492" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">bw</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="high">f</ml:id> <ml:id xml:space="preserve" subscript="low">f</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="gm">f</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="1712" left="6" top="522" width="132.75" height="32.25" align-x="33.75" align-y="540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="bp">f</ml:id> <ml:boundVars> <ml:id xml:space="preserve">f</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">bw</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve" subscript="gm">f</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="gm">f</ml:id> <ml:id xml:space="preserve">f</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve" subscript="gm">f</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="1713" left="186" top="531" width="88.5" height="12.75" align-x="234" align-y="540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">bwpercent</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">bw</ml:id> <ml:real>100</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="1714" left="300" top="522" width="65.25" height="30" align-x="312" align-y="540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">α</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="gm">f</ml:id> <ml:id xml:space="preserve">bandwidth</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="1715" left="402" top="531" width="66" height="12.75" align-x="450" align-y="540" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">bwpercent</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>5</ml:real> </result> </ml:eval> </math> <rendering item-idref="16"/> </region> <region region-id="1716" left="420" top="555" width="34.5" height="12.75" align-x="432" align-y="564" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">α</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>20</ml:real> </result> </ml:eval> </math> <rendering item-idref="17"/> </region> <region region-id="1717" left="6" top="588.75" width="315.75" height="14.25" align-x="6" align-y="600" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#000080">LPF Frequency Response, for Chebychev Polynomials</c> </inlineAttr> </f> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#000080"> <sp/> </c> </inlineAttr> </f> </text> </region> <region region-id="1718" left="12" top="608.25" width="449.25" height="12" align-x="12" align-y="618" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#000080">This section plots the frequency response for the Chebychev BPF</c> </text> </region> <region region-id="1719" left="12" top="644.25" width="36" height="30" align-x="27.75" align-y="660" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="o">Y</ml:id> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="o">Z</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="1720" left="78" top="633.75" width="99" height="42" align-x="89.25" align-y="672" show-border="false" 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xml:space="preserve">ε</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.031638599858416633</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="5" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="20"/> </region> <region region-id="1722" left="6" top="716.25" width="281.25" height="75.75" align-x="44.25" align-y="738" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="A">L</ml:id> <ml:boundVars> <ml:id xml:space="preserve">f</ml:id> <ml:id 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z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="27"/> <rendering item-idref="28"/> </region> <region region-id="1728" left="6" top="1420.5" width="171.75" height="17.25" align-x="6" align-y="1434" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#000080">Calculate the circuit values.....</c> </inlineAttr> </f> <f family="Comic Sans MS" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#000080"> <sp/> </c> </inlineAttr> </f> </text> </region> <region region-id="1729" left="180" top="1455" width="47.25" height="12.75" align-x="191.25" align-y="1464" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define 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<rendering item-idref="52"/> </region> <region region-id="1854" left="6" top="1926" width="470.25" height="171" align-x="6" align-y="1926" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{11943940-36DE-11CF-953E-00C0A84029E9}" type="static" item-idref="53"/> <rendering item-idref="54"/> </region> <region region-id="1744" left="6" top="2130.75" width="107.25" height="14.25" align-x="6" align-y="2142" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#000080">Simulation Results</c> </inlineAttr> </f> </text> </region> <region region-id="1745" left="12" top="2150.25" width="449.25" height="48" align-x="12" align-y="2160" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#000080">To test the calculations I have run a simulation on ADS for N = 7, Return Loss = 30dB, Zo = 50R.<sp count="2"/> </c> <c val="#000080">You can see the results are in reasonable agreement. 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Mathcad Professional 14.0 <description/> <author>chris</author> <company/> <keywords/> <revisedBy>chris</revisedBy> </userData> <identityInfo> <revision>4</revision> <documentID>A0773574-7460-4B2D-90C3-037862CCEBEA</documentID> <versionID>F9F5F3F4-4359-4402-BB09-C87071A21BED</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="dot" derivative="derivative" literal-subscript="small" 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show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="1" orientation="portrait" print-single-page-width="false" page-width="612" page-height="792"> <margins left="65.19685" right="65.19685" top="42.51969" bottom="42.51969"/> <header use-full-page-width="false"/> <footer use-full-page-width="false"/> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="en" UI="en"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="false" optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC11" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="1856" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="1695" left="54" top="11.25" width="348.75" height="15.75" align-x="54" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="14"> <inlineAttr line-through="false"> <c val="#000080">Capacitativly Coupled Chebychev BPF</c> </inlineAttr> </f> </text> </region> <region region-id="1696" left="300" top="32.25" width="169.5" height="24" align-x="300" align-y="42" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0"> <inlineAttr line-through="false"> <c val="#000080">Chris Haji-Michael www.sunshadow.co.uk/chris.htm</c> </inlineAttr> </f> </text> </region> <region region-id="1828" left="6" top="72" width="470.25" height="171" align-x="6" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{11943940-36DE-11CF-953E-00C0A84029E9}" type="static" item-idref="1"/> <rendering item-idref="2"/> </region> <region region-id="1697" left="12" top="254.25" width="444.75" height="48" align-x="12" align-y="264" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#000080">This sheet is used to design a </c> <f family="Arial" charset="0"> <inlineAttr line-through="false"> <c val="#000080">microwave capacitatively coupled BPF</c> </inlineAttr> </f> <c val="#000080">.<sp count="2"/>The maths for this filter is modified from "Theory & Design of Microwave Filters", Ian Hunter, IEE Press.</c> <c val="#000080"> <sp/> </c> <c val="#000080">The schematic that is designed and simulated is shown above for N=7, BW=50MHz, 30dB return loss.</c> </text> </region> <region region-id="1851" left="288" top="327" width="61.5" height="18.75" align-x="306.75" align-y="342" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">μm</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-6</ml:real> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="1852" left="372" top="327" width="77.25" height="18.75" align-x="390" align-y="342" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">nH</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-9</ml:real> </ml:apply> <ml:id xml:space="preserve">henry</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="1698" left="6" top="336.75" width="195.75" height="14.25" align-x="6" align-y="348" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#000080">Main user input area:</c> </inlineAttr> </f> </text> </region> <region region-id="1701" left="12" top="363" width="44.25" height="15" align-x="39.75" align-y="372" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="ar_db">L</ml:id> <ml:real>30</ml:real> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="1702" left="90" top="362.25" width="117.75" height="12" align-x="90" align-y="372" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#000080">Passband return loss in dB</c> </text> </region> <region region-id="1703" left="12" top="387" width="25.5" height="12.75" align-x="25.5" align-y="396" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">N</ml:id> <ml:real>7</ml:real> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="1704" left="90" top="386.25" width="268.5" height="12" align-x="90" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#000080">Order of the filter, this needs to be above 2 and even numbers.</c> </text> </region> <region region-id="1705" left="12" top="411" width="54.75" height="15" align-x="30.75" align-y="420" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="gm">f</ml:id> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">GHz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="1813" left="96" top="411" width="47.25" height="15" align-x="111.75" align-y="420" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="o">Z</ml:id> <ml:apply> <ml:mult/> <ml:real>50</ml:real> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="1814" left="168" top="411" width="92.25" height="12.75" align-x="216.75" align-y="420" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">bandwidth</ml:id> <ml:apply> <ml:mult/> <ml:real>50</ml:real> <ml:id xml:space="preserve">MHz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="1708" left="6" top="450.75" width="195.75" height="14.25" align-x="6" align-y="462" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#000080">Start Calculating...</c> </inlineAttr> </f> </text> </region> <region region-id="1709" left="6" top="476.25" width="97.5" height="27.75" align-x="26.25" align-y="492" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="low">f</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="gm">f</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">bandwidth</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="1710" left="132" top="476.25" width="100.5" height="27.75" align-x="154.5" align-y="492" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="high">f</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="gm">f</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">bandwidth</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="1711" left="264" top="474" width="70.5" height="32.25" align-x="282" align-y="492" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">bw</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="high">f</ml:id> <ml:id xml:space="preserve" subscript="low">f</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="gm">f</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="1712" left="6" top="522" width="132.75" height="32.25" align-x="33.75" align-y="540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="bp">f</ml:id> <ml:boundVars> <ml:id xml:space="preserve">f</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">bw</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve" subscript="gm">f</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="gm">f</ml:id> <ml:id xml:space="preserve">f</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve" subscript="gm">f</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="1713" left="186" top="531" width="88.5" height="12.75" align-x="234" align-y="540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">bwpercent</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">bw</ml:id> <ml:real>100</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="1714" left="300" top="522" width="65.25" height="30" align-x="312" align-y="540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">α</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="gm">f</ml:id> <ml:id xml:space="preserve">bandwidth</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="1715" left="402" top="531" width="66" height="12.75" align-x="450" align-y="540" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">bwpercent</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>5</ml:real> </result> </ml:eval> </math> <rendering item-idref="16"/> </region> <region region-id="1716" left="420" top="555" width="34.5" height="12.75" align-x="432" align-y="564" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">α</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>20</ml:real> </result> </ml:eval> </math> <rendering item-idref="17"/> </region> <region region-id="1717" left="6" top="588.75" width="315.75" height="14.25" align-x="6" align-y="600" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#000080">LPF Frequency Response, for Chebychev Polynomials</c> </inlineAttr> </f> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#000080"> <sp/> </c> </inlineAttr> </f> </text> </region> <region region-id="1718" left="12" top="608.25" width="449.25" height="12" align-x="12" align-y="618" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#000080">This section plots the frequency response for the Chebychev BPF</c> </text> </region> <region region-id="1719" left="12" top="644.25" width="36" height="30" align-x="27.75" align-y="660" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="o">Y</ml:id> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="o">Z</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="18"/> </region> <region region-id="1720" left="78" top="633.75" width="99" height="42" align-x="89.25" align-y="672" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ε</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="ar_db">L</ml:id> <ml:real>10</ml:real> </ml:apply> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> <ml:real>-0.5</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="1829" left="414" top="669" width="54" height="12.75" align-x="425.25" align-y="678" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#80ff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ε</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.031638599858416633</ml:real> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="5" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="20"/> </region> <region region-id="1722" left="6" top="716.25" width="281.25" height="75.75" align-x="44.25" align-y="738" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="A">L</ml:id> <ml:boundVars> <ml:id xml:space="preserve">f</ml:id> <ml:id 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z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="27"/> <rendering item-idref="28"/> </region> <region region-id="1728" left="6" top="1420.5" width="171.75" height="17.25" align-x="6" align-y="1434" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#000080">Calculate the circuit values.....</c> </inlineAttr> </f> <f family="Comic Sans MS" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#000080"> <sp/> </c> </inlineAttr> </f> </text> </region> <region region-id="1729" left="180" top="1455" width="47.25" height="12.75" align-x="191.25" align-y="1464" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define 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<rendering item-idref="52"/> </region> <region region-id="1854" left="6" top="1926" width="470.25" height="171" align-x="6" align-y="1926" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{11943940-36DE-11CF-953E-00C0A84029E9}" type="static" item-idref="53"/> <rendering item-idref="54"/> </region> <region region-id="1744" left="6" top="2130.75" width="107.25" height="14.25" align-x="6" align-y="2142" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false"> <c val="#000080">Simulation Results</c> </inlineAttr> </f> </text> </region> <region region-id="1745" left="12" top="2150.25" width="449.25" height="48" align-x="12" align-y="2160" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#000080">To test the calculations I have run a simulation on ADS for N = 7, Return Loss = 30dB, Zo = 50R.<sp count="2"/> </c> <c val="#000080">You can see the results are in reasonable agreement. 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