.MCAD 310000000 \  docDocument MmcObject[  dim_formatTmasslengthtimecharge temperature luminosity substanceNumericalFormatQdii  shpRectV k mcDocumentObjectState\ mcPageModelKg?g?].?].?mcHeaderFooterI@I CHeaderFooterJ@J@J@J MbP?MbP? TextState? TextStyle>@ ArialSerial_ParPropDefaultW?Normalfont_style_listO font_styleP  VariablesTimes New Roman@P  ConstantsTimes New Roman@P TextArial@P Greek VariablesSymbol@P User 1Arial@P User 2 Courier New@P User 3Arial@P User 4Times New Roman@P User 5Times New Roman@P User 6Arial@P User 7Times New Roman@P SymbolsSymbol@P Current Selection FontArial@P Undefined Font@P HeaderArial@P FooterArial@P Rotated Math FontTimes New Roman= TextRegion* docRegionGshpBoxU@#$@  CharacterMap-RangeMap;/Microwave Stepped Impedance Filter Design Sheet ChrPropMap7/ RangeElem</ ChrPropData8 RangeData=lArial0,0,128 ParPropMap9/ :@W/;?<@@:@W/=?=1@A</@B<@C0@NormalArial @D*@U -Main user input area:7@E<@F8@DnArial0,0,1289@G<@H:@W1@I</@J<@K0@NormalArial @LeqRegionB@Uh % u@Mtree@ p@N@@ @M@O@@d@N\mm@P@@@N@Q@@@@P@R@@t@Q10@S@@K@Q@T@@@S6@U@@@Pm@V@B@U ?% @W@@ p@X@@ @W@Y@@d@XnH@Z@@@X@[@@@@Z@\@@t@[10@]@@K@[@^@@@]9@_@@@Zhenry@`@B@US0:(@a@@ p@b@@ @a@c@@d@bL.ar_db@d@@@b0.2@e*@Ux#3x0v}}-passband ripple in dB7@f<@g8@e0,0,1289@h<@i:@W1@j</@k<@l0@NormalArial @m@B@UD2U"P@n@@ p@o@@ @n@p@@d@oN@q@@@o7@r*@UxCSxP]]-order of the filter7@s<@t8@r0,0,1289@u<@v:@W1@w</@x<@y0@NormalArial @z@B@UdWx!p@{@@ p@|@@ @{@}@@d@|f.c@~@@@|@@@t@~10@@@@~GHz@*@UxcAsxp-Cutoff frequency.7@<@8@0,0,1289@<@:@W?1@</@<@0@NormalArial @@B@UR&@@@ p@@@ @@@@d@Z.o@@@@@@@t@50@@@@\W@*@U`-2LPF Frequency Response, for Chebychev Polynomials 7112@<1@8@l Arial0,0,128@<@8@n Arial0,0,128@@@92@<2@:@W1@</2@<2@0@NormalArial @*@UgWW W -@This section plots the frequency response assuming the Chebychev polynomial values calculated later. The frequency response is for the coupled BPF, the LPF response is later.7@<@8@0,0,1289@<@:@W1@</@<@0@NormalArial @@B@U B3& x@@@ p@@@ @@@@d@Y.o@@@@@@@t@1@@@@Z.o@@B@Up-~(z@@@ p@@@ @@@@d@\e@@@@@@@@@@@@t@10@@@@@@@d@L.ar_db@@@@10@@@@1@@B@U(a-5({@@@ p@@@@@@@d@\e@@@@@@@+@@Serial_DisplayNodeX@@@@@@B@UCG`@@@ p@@@ @@@@@@@@@d@L.A@@@p@@@@ @@@@d@f@@@@f.1@@@@@@@I@@@@@@@@@@t@10@@@@@@@d@log@@@p@@@@@@@@t@1@@@@@@@d@\e@@@@@@@p@@@@@@@@@d@cos@@@p@@@@p@@@@@@@@d@N@@@@@@@d@acos@@@p@@@@@@@@d@f@@@@f.1@@@@2@@@.@@@@d@f@@@@f.1@@@I@@@@@@@@@t@10@@@@@@@d@log@@@p@@@@p@@@@@@@@t@1@@@@@@@d@\e@@@@@@@p@@@@@@@@@d@cosh@@@p@@@@p@@@@@@@@d@N@@@@@@@d@acosh@@@p@@@@@@@@d@f@@@@f.1@@@@2@@@(@@@@d@f@@@@f.1@@B@US@@@ pA@@ @A@@@AA@@dAS11.AA@@pAA@@ AA@@dAfA@@Af.1A@@AA@@tA10A @@AA @@dA logA @@pA A @@A A @@tA 1A@@A A@@tA10A@@pAA@@AA@@K@AA@@AA@@dAL.AA@@pAA@@ AA@@dAfA@@Af.1A@@A10A@B@U0{ A@@ pA@@ AA@@dAf.lp_hp_sweep_wideA@@AA@@ @AA @@@AA!@@dA f.cA"@@A 10A#@@AA$@@@A#A%@@dA$f.cA&@@A$10A'@@A#A(@@dA'f.cA)@@A'50A*@@AA+@@dA*f.cA,@@A*5A-@B@U0.0 A.@@ pA/@@ A.A0@@dA/f.lp_hp_sweep_narrowA1@@A/A2@@ @A1A3@@@A2A4@@dA3f.cA5@@A310A6@@A2A7@@@A6A8@@dA7f.cA9@@A710A:@@A6A;@@dA:f.cA<@@A:100A=@@A1A>@@dA=f.cA?@@A=1.15A@@B@UPGPAA@@ pAB@@AAAC@@@ABAD@@@ACAE@@@ADAF@@tAE0AG@@KAEAH@@AG15AI@@ADAJ@@@AIAK@@AIAL@@K@AKAM@@AL1AN@@AKL.ar_dbAO@@ ACAP@@@AOAQ@@dAP0AR@@APAS@@dARL.AAT@@pARAU@@ ATAV@@dAUf.lp_hp_sweep_narrowAW@@AUf.cAX@@AOAY@@dAXS11.AAZ@@pAXA[@@ AZA\@@dA[f.lp_hp_sweep_narrowA]@@A[f.cA^@@ABA_@@@A^A`@@@A_Aa@@vA`11.5Ab@@A`1Ac@@A_Ad@@@AcAe@@dAdf.cAf@@AdGHzAg@@AcAh@@A^Ai@@dAhf.lp_hp_sweep_narrowAj@@AhGHzAkd2_graph_format graphData%@  axisFormat) frequency) S21 (dB) Ideal lowpass frequency responsetrace2D&&S21&S11&&&&&&& & & & & &&&Al@B@UO(}Am@@ pAn@@AmAo@@@AnAp@@@AoAq@@@ApAr@@tAq0As@@KAqAt@@As100Au@@ApAv@@@AuAw@@AuAx@@K@AwAy@@Ax1Az@@AwL.ar_dbA{@@ AoA|@@@A{A}@@dA|0A~@@A|A@@dA~L.AA@@pA~A@@ AA@@dAf.lp_hp_sweep_wideA@@Af.cA@@A{A@@dAS11.AA@@pAA@@ AA@@dAf.lp_hp_sweep_wideA@@Af.cA@@AnA@@@AA@@@AA@@vA50A@@A1A@@AA@@@AA@@dAf.cA@@AGHzA@@AA@@AA@@dAf.lp_hp_sweep_wideA@@AGHzA @ ) frequency) S21 (dB) Ideal lowpass frequency response&&S21&S11&&&&&&& & & & & &&&A*@UfE}xH`==-(Calculate the Chebychev (g) Polynomials 7''(A<'A8Al Arial0,0,128A<A8An Comic Sans MS0,0,128AAA9(A<(A:@W1A</(A<(A0@NormalArial A@B@UBIA@@ pA@@ AA@@dAkA@@AA@@tA1A@@ANA@B@UpJA@@ pA@@ AA@@dA\bA@@AA@@dAlnA@@pAA@@AA@@dAcothA@@pAA@@AA@@dAL.ar_dbA@@A17.37A@B@U }.KA@@ pA@@ AA@@dA\gA@@AA@@dAsinhA@@pAA@@AA@@dA\bA@@AA@@tA2A@@ANA@B@U"LA@@ pA@@ AA@@@AA@@dAaA@@AkA@@AA@@dAsinA@@pAA@@AA@@@AA@@p@AA@@AA@@@AA@@tA2A@@AkA@@A1A@@A\pA@@AA@@tA2A@@ANA@B@U%MA@@ pA@@ AA@@@AA@@dAbA@@AkA@@AA@@@AA@@dA\gA@@A2A@@AA@@p@AA@@AA@@dAsinA@@pAA@@AA@@@AA@@dAkA@@A\pA@@ANA@@A2A@B@UNA@@ pA@@ AA@@@AA@@dAgA@@AkA@@A0A*@U(W (O//0/0-@g(0) and g(N+1) represent the input/output coupling for odd order filters, these are 1 representing the generator (and equal) load resistance7A<A8A0,0,128944YA<4A:@WA*@U $  `-!The next step is to calculate Zo.7!B?l Arial0,0,1289!BA Root EntryaB.dK8@ Root EntryaB.dK8@ Root EntryaB.dK8@UZ@Contents( =x )di ixArialArial,wxw<T1c$C@@C 1@XC@@CmmC@B@U ]J - C@@ pC@@CC@@@CC@@dClength_C_equivC@@CkC@@CC@@@CC@@@CC@@CC@@<@CC CCC<  )CVSOleClientItem ࡱ> Root EntryaB.dK8@XZ@Contents( =x )di ixArialArial,wxw<T1c$C@@C1@XC@@CmmC*@U T`-Simulation Results7C <C!8Cl Arial0,0,1289C"<C#:@W1C$</C%<C&0@NormalArial C'*@Ugs UWW`W`-ATo test these values I have run a simulation on ADS and as you can see the results are in good agreement. Both the ripple and return loss (S11) agree, but the cutoff frequency was out by 22% and I had to scale this. I'm not sure why this is. You can see the downside of these filters that the frequency response repeats and the out of band attenuation is not a good we would like.7C(<C)8C'0,0,1289C*<C+:@W1C,</C-<C.0@NormalArial C/ COleDocItemDocItem @Up""ࡱ>    !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~Root Entry@96>@)0%ZCONTENTS fCONTENTSV30CompObju @96>@)#Microsoft Photo Editor 3.0 PictureMSPhotoEditor MSPhotoEd.39qP Dwp}w:w F ? tXp_-` _-9fw _-fwXw@+_-_- Dwx_-,wp8wDwp}w:wtXw@+_-(_-_-Ewhwh>`AiEQQ$#PYwND Hw2w`wAXB P5Fw-ZwXBL _-XBl?EPDXGOpen1wJbC:\Documents and Settings\Chris\My Documents\Technical\Mathcadschem.gifbPOK wUJbbPOK| wU|(Zb`X/b an Existing`! 9wd#! !`CwC:\Documents and Settings\Chris\My Documents\Technical\Mathcad\schem.gif#! Pa(Zb! $ 1wPdwxw:wԦww G-Zw -ZwqZw Hw:wԷD ?