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All s"s reserved.`~ _Sba.chm!#2243O0l>#0>Udd#3 $] a%2+5U+0(T#FBS6.jRDRr6 27(4M4]? o1t?1E>?w9119T6 OHo?/G2M?;rA BCq,B^5/V:@%^V"A(aCI|8Q %[?-_?YM(|33Q:%^_?_Q_nKQEUIL_ _`I_U9E\_botoo:nHl'-C{ !OyaYEqF4z,#|KJB }@ [ako@+koMaT~ןoUl4,X?zڥ? 1 *A-377"AU2@9 7GRH<( U2EL ;R(Lly Sw @?^x=WRDKOi UP@h4F @+ @FDNTe@y  ahm qTP^UFX?Fz??x<F BP(?*CUg_q'2?^qu`"ua )e (`F!F!Qa Z,H!$'$a'$q!'q!(u!'u!(y!'y%$!'!('$!'!((F!#yp??OO'O!`5iq!|xI<KEiɿ?@?@@t:?@rqǵ UU?0?%CV'/^RM qLly!0qUAAy!y%}-q%Q]Q2fMR-MR.-H&e V7o '`PWoieynUoogma5&noIoma.5&ooCnH ;Zoi^G5 #_'2U3?6Q!AOOaOsOOOOOOOPpG8__$_6TM__Qs__V!GS#l_______oowaooooSoo2V'O]2=#5PbtΏsHF1Q!3EWصtiօ͟ߟs]¯O﷯ɯ.R#KY.9ź0ӿ -Ϯ#q!I[mϑϵϦ`\) 0BTq!pfߔ߸pZ~L/+/O /H/V?+/6?/ ._3J h#alM ??HU@hC?@'?@0L& BP(EU $`a1j4 \3VJ\1%811* #@ 4I /m;QY.?? !BZ4h-q7To1oV/U@x<Wrk=]tE/h=g{?o/^?@bzcC'r-](RTk}S;QUijZzc)p'pV8dTZyy](Qoo4Ui?\.zc (qh@Rmk7IeQUiLo/ҙJCOUOgO@yOO?@WG/?@bݮP=1-u`uP`buP`u°6+"=-3- 8uB=`@7_I]b_[Xj5le^'?@ $)3ϸEϷ\)wωɰ)Hz_]*j?`-3W3JQ9K]oOOOOXG8ʬ? @XH_aQI]ٿtZ#@1<YQ1__QQMa]zch# Ia5h-LfzcڅV8-0>=N<1%+?Os ? zcTx> 4Kpm*Cğic4Z4鍬I/1//(<_pm~/0v+D/gS/ ?w/QUYnL?|op?ѫëI启Ư+M7=z?@@Z:?@rq*EEj'SOASSFLJ펒GLP!0ǀKA!u_5U_~?QmF_ _ hE o2oH Vko_o_oo&x1O H@Z1i#$_'2#?0BA??OO%O7OIO[OmOEl~ ;OOOOOOY_(_:_L_^_p____(_SoowoHoZoo(ooopܟoʯ6DVhz8#"4FXj.ď֏:!Y%7I[m%PtEW%௟m篣3AS2asUl4,X?zڥ? >*A-3D7U2@4J7CRH<( U2E7 RUlL,& 𤇟-@U?%)RD𔈟;U$ 4(U1( UO"D&aU=QJf )h"Ty+U, _Ʌ>- H*9(TYg E/+GuideTheDocPage-1Gesture FormatBasicVisio 00RectangleU3< UEL \- l*GQU#Q 0QUl4,X?zK? dUA-T37;Ul4,  AJ-3'7A_*<N@ KRVg)6uH<( H<( _*<NE RVg q {th * g"4pFX(p^Mz@()\8H`y J,O:TRT Pp&LW!BZG1><AO0=o5OdwO $'0N$ҟ*)T31_ԟC=D`2^ן>TuV<_UT O? _fGD!fB= x,:/ 6 M*@UKrkXr -0Chris Haji-Michael www.sunshadow.co.uk/chris.htm70<08mArial0,0,12890<0:@W/1</0<00@NormalArial *@UaQQ Q -CThis sheet is used to design microwave stepped impedance filters where each section is of the same length. The maths for this are from "Theory & Design of Microwave Filters", Ian Hunter, IEE Press. There are three steps to this filter design: Step 1, Get the filter g-values. This sheet calculated these values according to the Chebychev polynomial. Other sources of g cannot be used here as the g-values are modified by the length of the transmission line. Step 2, Calculate Zo and wavelength depending on the type of filter. This MathCAD sheet stops at this point. Step 3, Calculate length and width. One method is to use Linecalc which is part of ADS. For microstrip designs I have written a MathCAD sheet which is available from my wepage that works well for thin tracks, less well for thicker tracks. Also you can try transcalc.sourceforge.net for a Linecalc equivalent. 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lyrootsppmtppoispredictpsplineE@@E@XE@@EohmE*@UT`-Simulation Results7E<E8El Arial0,0,1289E<E:@W1E</E<E0@NormalArial E*@UgkUWWW-BDTo test these values I have run a simulation on ADS for N=17, L=0.5dB, 20-degree EL, Zo=50R. You can see the results are in good agreement. Both the ripple and return loss (S11) are better than expected; although these match better for N=18, I have no idea why this is. Quite a good filter though. If the extremes of Zo are too much for your process then you can increase the effective length (EL). 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 although at 232dB agrees perfectly.7**DE<*E8E0,0,128E<E8E0,0,128EEE9DE    !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~Root Entry@96>@)CONTENTS VXCONTENTSV30CompObju51Mlg0@( @96>@)#Microsoft Photo Editor 3.0 PictureMSPhotoEditor MSPhotoEd.39qn8W)`"`0`]`iAi$#QQl{En8W)