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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEqdmFsdWVzX2VxRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSS8lJ2ZhbWlseUdRJkFyaWFsRicvJSVzaXplR1EjMTJGJy8lK2V4ZWN1dGFibGVHRjFGMg==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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEncGFyc18xRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSS8lJ2ZhbWlseUdRJkFyaWFsRicvJSVzaXplR1EjMTJGJy8lK2V4ZWN1dGFibGVHRjFGMg==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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEncGFyc18yRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSS8lJ2ZhbWlseUdRJkFyaWFsRicvJSVzaXplR1EjMTJGJy8lK2V4ZWN1dGFibGVHRjFGMg==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 Analysis of a Sallen-Key Low-Pass FilterTUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbPD5bQFpabmpUdlBGWm1PZEFPQldnbXNSdEI7SVVKVVRKRnBJWFt2SWY/WkM+aEJHZW1LQURGV2o6UEtOZE46P1o6dl5DX2I7X2RSd2JnaXJrSDw7QzxDQmZJWDt1dmtNWWY9ZTxXU1RfVGhZdzo8Vl9YUD0+Zldgdj0+akZGWkVxX092Wm5aOkZjP29jPm9vPD9mPDw6OjoxOlwiXHtcfQ==LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlXWpGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiM/RiotJSlDSElMRFJFTkc2Ig==ParametersThe elements in this matrix contain the
- name of each component
- nominal parameter value
- lower tolerance value
- higher tolerance value
Resistors have a symmetric tolerance of 2%. Capacitors have an asymmetric tolerance of -19% to +15%.Circuit AnalysisSymbolically solve for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYmLUkjbWlHRiQ2JVEiVkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1GLzYlUSRvdXRGJ0YyRjVGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0krbXNlbWFudGljc0dGJFEnYXRvbWljRicvJSdmYW1pbHlHUSZBcmlhbEYnLyUlc2l6ZUdRIzEyRicvJStleGVjdXRhYmxlR0Y0RjU= in terms of 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Generate a list of component namesGenerate a list of component nominal valuesGenerate a list of equations for the component nominal valuesHence the partial derivatives with respect to each component, evaluated at the nominal value.If the partial derivative is positive, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYmLUkjbWlHRiQ2JVEiVkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1GLzYlUSRvdXRGJ0YyRjVGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0krbXNlbWFudGljc0dGJFEnYXRvbWljRicvJSdmYW1pbHlHUSZBcmlhbEYnLyUlc2l6ZUdRIzEyRicvJStleGVjdXRhYmxlR0Y0RjU= increases if the component value increases. However, if the
partial derivative is negative, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYmLUkjbWlHRiQ2JVEiVkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1GLzYlUSRvdXRGJ0YyRjVGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0krbXNlbWFudGljc0dGJFEnYXRvbWljRicvJSdmYW1pbHlHUSZBcmlhbEYnLyUlc2l6ZUdRIzEyRicvJStleGVjdXRhYmxlR0Y0RjU= decreases if the component value increases.
Hence a combination of the lower and upper tolerances determines the minimum and maxiumum
values of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYmLUkjbWlHRiQ2JVEiVkYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1GLzYlUSRvdXRGJ0YyRjVGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0krbXNlbWFudGljc0dGJFEnYXRvbWljRicvJSdmYW1pbHlHUSZBcmlhbEYnLyUlc2l6ZUdRIzEyRicvJStleGVjdXRhYmxlR0Y0RjU=.
Given the upper and lower tolerances, we will now generate two parameters sets that describe the
worst case behavior.
For each component, the sign of the partial derivative determines if a parameter set contains the lower
or upper tolerance value. If a component's partial derivative is positive, multiply the nominal value by the lower tolerance (or the
upper tolerance otherwise)DC ResponseSteady-state Response at 1.5 kHzCutoff FrequencyApply Kirchoff's Current LawTUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbPD5bQFpabmpUdlBGWm1PZEFPQldnbXNSdEI7SVVKVVRKRnBJWFt2SWY/WkM+aEJHZW1LQURGV2o6UEtOZE46P1o6dl5DX2I7X2RSd2JnaXJrSDw7QzxDQmZJWDt1dmtNWWY9ZTxXU1RfVGhZdzo8Vl9YUD0+Zldgdj0+akZGWkVxX092Wm5aOkZjP29jPm9vPD9mPDw6OjoxOlwiXHtcfQ==LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlXWpGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiM/RiotJSlDSElMRFJFTkc2Ig==TUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbPD5bQFpabmpUdlBGWm1PZEFPQldnbXNSdEI7SVVKVVRKRnBJWFt2SWY/WkM+aEJHZW1LQURGV2o6UEtOZE46P1o6dl5DX2I7X2RSd2JnaXJrSDw7QzxDQmZJWDt1dmtNWWY9ZTxXU1RfVGhZdzo8Vl9YUD0+Zldgdj0+akZGWkVxX092Wm5aOkZjP29jPm9vPD9mPDw6OjoxOlwiXHtcfQ==LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlXWpGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiM/RiotJSlDSElMRFJFTkc2Ig==TUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbPD5bQFpabmpUdlBGWm1PZEFPQldnbXNSdEI7SVVKVVRKRnBJWFt2SWY/WkM+aEJHZW1LQURGV2o6UEtOZE46P1o6dl5DX2I7X2RSd2JnaXJrSDw7QzxDQmZJWDt1dmtNWWY9ZTxXU1RfVGhZdzo8Vl9YUD0+Zldgdj0+akZGWkVxX092Wm5aOkZjP29jPm9vPD9mPDw6OjoxOlwiXHtcfQ==LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlXWpGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiM/RiotJSlDSElMRFJFTkc2Ig==TUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbPD5bQFpabmpUdlBGWm1PZEFPQldnbXNSdEI7SVVKVVRKRnBJWFt2SWY/WkM+aEJHZW1LQURGV2o6UEtOZE46P1o6dl5DX2I7X2RSd2JnaXJrSDw7QzxDQmZJWDt1dmtNWWY9ZTxXU1RfVGhZdzo8Vl9YUD0+Zldgdj0+akZGWkVxX092Wm5aOkZjP29jPm9vPD9mPDw6OjoxOlwiXHtcfQ==LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlXWpGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiM/RiotJSlDSElMRFJFTkc2Ig==Partial Derivatives of Output Voltage wrt ComponentsTUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbPD5bQFpabmpUdlBGWm1PZEFPQldnbXNSdEI7SVVKVVRKRnBJWFt2SWY/WkM+aEJHZW1LQURGV2o6UEtOZE46P1o6dl5DX2I7X2RSd2JnaXJrSDw7QzxDQmZJWDt1dmtNWWY9ZTxXU1RfVGhZdzo8Vl9YUD0+Zldgdj0+akZGWkVxX092Wm5aOkZjP29jPm9vPD9mPDw6OjoxOlwiXHtcfQ==LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlXWpGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiM/RiotJSlDSElMRFJFTkc2Ig==TUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbPD5bQFpabmpUdlBGWm1PZEFPQldnbXNSdEI7SVVKVVRKRnBJWFt2SWY/WkM+aEJHZW1LQURGV2o6UEtOZE46P1o6dl5DX2I7X2RSd2JnaXJrSDw7QzxDQmZJWDt1dmtNWWY9ZTxXU1RfVGhZdzo8Vl9YUD0+Zldgdj0+akZGWkVxX092Wm5aOkZjP29jPm9vPD9mPDw6OjoxOlwiXHtcfQ==LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlXWpGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiM/RiotJSlDSElMRFJFTkc2Ig==MFNWtKUb<ob<R=MDLCdNNZPj:tN>D:;RO[rjA>=rV_tK?LQuVH`HLjm@n`@>]w]QBy=U;R<[ELmtVn[===rkYEdC]T^xC_b;_droegiu;?gVvtS>rka]o?`;?q>n`hg]V`j`n[gHrwH]KN\\;o[CI^AVbZ`v`gv\\^dD?rhHno^pZNuV^mE?kiOjV_cZ@vM?x_>sA`]>@\\<AwZ^]Yp`Z^jTYlHgbnA\\>G__fy`wuahthasfawUIuSx`YYmsyyZhwfpxogpPqsvxyHAcmXx<yCLS[D^:f^K@<;TLCC;<OC`j:^l>Ob:RCBJ::f>>B:<oEQsDQkhdLlaM@TjB=[Mf]v>etGvVQw`piSylvyinGoJxvj>]>Y_A>^QXsAAcpn`Qwfg?[CFgwnesRH_FZSSIkCnqTC]F^gxrev:[VgmgP?Ihed;MRTu;mRocB[CFgyresBZSb>?rIsgVDM?EKsTyedOIxuN@lJpt]il=<lK=xEax=hsGIrQiVBatwaLLLtt]ql_fGnhoN[MFhjAfoOwh?[CFGRh_vZmtRqgBAwsEFxCB[CFWxTH<r^tVypxjmslMTj]ledRxySt`D\\;<PEtqwyKA`jnp=HMFpwR`SWiLKHPt`TB;<TQLLLQILw<MRTukQmK:eUB=SeIH[t?_bnoEi_MoEN[doAYOA<nh\\N^hxrev:\\t?`jnp=PqJ@lPKJ;:^evOiwpmfOh:_\\HocH_h?imFojgVfhwthheMy]b?b^^^xNpwHwL>fUxvtP_=qpjvp@of@n^]@yJ@\\>QryF^t`js>lJ>i[Wi=__B?cB_^>neRquJV[LN\\LF[;x\\px`>Qj>`j>ObZijgi[k@^[F^K@\\rGF:C:::LB:::L:::^J:::^:::B[:::B;::J<;::J<::brmxfIehcDlaE@OV^[BX=SB;bfKD<sG^[jfLL<tO^\\J:mLCDjQTKCDuVelaEP\\eXMuw:<tJDuJdXc<NLL\\G`obF_CObHYpK`uTOij?nq@ZnFj>@rEhq>`yn?xZGk@Tm?SBeBt?X:gRxIUt_tV_e>?XfSCb]T]SH=UEMKtpYBfkvLKrx;CZ=BCCg:msuWvPiShmTLKH>mQ@<sp@oEEJo=N[dou<rLAsDPllLxmmSwAs;\\P=`jN=VfmQeEw;lL]EK[LN:HK^\\n<DsfmPNQt=\\OlyOMin`akQUjYmjn@t[Iv[yyxyxydq;@MnLPm\\SsqlsxwidOyHwVDYhEQIUT`PQexSvmJpQL\\qWu@k^DQC=lN@sgeWgewgiwwYyYyyPYujts\\MRlqv[amiDuklx^qrh=wNqVpImuYW^eRCEsf`J=xMi`V]AVmUXJpkp]ttXs^DNHyQyIyIeyL\\WmDmJ`wVEVt@NcxVQ`seUniqjUIPiHUB=sNuJIlTGxw@@wuMkm\\wodnb=R@lxqyxy]ykyRwXJPEsd]oEEJGuyPHo^=uh<S`Iw_tpIyNALLL<kwAjr`jFtt@HRIMUjpWN=SeIX`UYuUyrAyRuw=HS@ULllQetkguX@dVDtPRXMHQN<MR<<SxMvk\\q_xSgPs@yuUdjaHwRtxvIymyyvyvyLQ<lrReSBMpkekFIrktWa]N^pXk\\wy=QSajj]Oe]l@UN]uVauvYuytylHLj_lVMLXxhXGpWoMpVdu`tR<MwP`o[tVFxoXTVCDVY\\N=UkkDRyxuyywyuyeXR[Ujf]Xt`LJxuq`t@`kg]XbMS]TODUyFptH=p\\unbUO`TuWiu_ySxeSKhtRul<Lxvql=pjfmkQ\\VmePsHpsPqnPqt<uPDu@TJc]V?EWYHxq\\R=@njPKI@tJ]S=IMBpXRmSBAVAuQOHkm`jrXJPLpCLp;lj;MRdDlXynHmWAuXbmp@MmBtKuUYu]yCyo?lnMLvTLPPDk[qUBXufauG]tI`jNMNiDNfPraapIlYpxpqHQ=DpkmpMLl?MRTLR<MOklmF`vPdJSdnk=m?qyxqQyMxUANLLJi>c_nZKA];Qwuncm@`]hmWh]HAbfOkfhrt`\\JVlKOv[YrAPqnFmIAmjN]SGdJi`TajLomyviHymvqjAOb@auwXiqOwUImIwawax^av>wgF?^]OkYvbPAyYxyvyvmykCnj>@^:HbENsUiuWivF^r:AcBIaSgZYOicinGhkGfqWxb@aqrQvEhruvZh_ckYvfhoghytytypmtnvtixeir]OjcXf?GivAykatRVcNicGHbgPlH^sgxuiYxavq;AlJXhlffyOxCy^EYsEQiuvkFHybYnIparAv=fqWxrGH_x_mXwoqirQveFg]mitQweOvkCnnHh\\_GgcGgd_kyoxmxmSI]=PqCYoJG[hNaL^[CFaaVdpy[y^yj@qr@ej_wBorvwywyxlnnZiwdX]m@pj@`cIh^g\\yPioQwcIwcxsRPvaY\\FgveNkvYZyGyEyeHgkkyrYvifwfFNwP`cyits^av^tAibg?cBPlOnw@ikUNpjPplP`cAuK`kKHgWo\\^ooS`xpghn_s^xrKHudgiwgeP^i@a\\vvmJP_YGd^y]rIuawmGgkkXktHlk>oUO`kydDXkH`tG`jbFmKqwYyqiV[IomvFmn_wb?agxat_xbOtUitKI`Mp]Aofepiyx_Ena]O[XxC_gYCinqws;sy;xbAwb?I@qGdqR@ANlQRNmkm<LeeTCaWjTOEHKsPX_QkFAWl@Tj]wb=QgXqkDqiuTAur^qMaPloMugqnBtskTlXxcV?`l`xhQp^y]bqnfQvRVQJCalYuKhLQLUlsyV=PLFiN^IwMyn=IOU]vXTQLhpj]XFmwUitfAmfYvFtXM]MYHPGlMEQX;AsLYqEQMHEu?IPXdktUv]Mo\\xQ;IXtuUaiK`Ui[a[>QanNppQmUAfhiuux`tffaq]uNcGWwsxgQWp]OpIX`Vick_i@avxv]syadQdW`u>vl_xhQDqIy>afRSiWaDaGxkcDLyeZAAavo?soyxYyydyTywyuouRwcfEUVGbREf@mtXugiEGMofUQi<;ipewTAwNgwXQc`ouj?sfwdWSdtUiTOetiVFMwrcdfGr]WicKrm]SdIyBAeKIUioItYBDAtuWSCewmiSDGhUiSkMEYST[cyCkcMYytsGSWvmaTR?D;IEBgDd]VgicZUbCeEuKSGQYHMwgQgfOesWV@uEachUOvracCeIYsHeibf_WO]vYKdTyvEickAwhMcR_DfAV]]b^gRQov]wIBGXtuUaIickIeOu>?IV]X^ODG_gwGDf=HcWVAEgSusCeiWesWOy_]sbYv^oXM]EYLTIyNoTwOyrG=XSMiL_vAHmtyZ`PffI]fawx?eGWf>ixeytoyeHPawGy_ylCawx^xsyjtwrBP[UOrS>kmYlQ_bQPZD@^[nwg@wjAuKOwbnlMPiuPac_sjAaO`olHuSHdrokSnaYF]MnvbnljW]golXieK`dFha=hat_xCIoc_kBi]PokxaZAIwwgmQ`seIidAuEF]\\ycxwvKAsTY]AqZm^ap_luqnRIlCprwheg>]]vgcgu]aVGGHnjIyn<IwFA[IA]EA]sygqW`o_nEIcwnchqqTGkkNn<iuxvtF`\\wxomahLwsbh`[Njm>\\EWg^gwGXf=H]XVaDiiM_wBwaVYuOQjkNxPptwnchI\\dvra_sjIy^qsXHpUn]uN_HnpvAn^Gnr>uhIh^oeR`pip`MA]K?`f`ZQakNZLHwvvcWI[KVuUYu]xikP\\Q`xo?gX?[qGa_GyXOqN>dVV]FXieN_egdhYm\\wbXAotxpehZ]_vko\\Pn\\xHy`YmCWpX@xVV^YYwUygyh_RV\\iHvkXn\\AfEashV[?IrpwkM?pip`MmcupihlieJ`anMIYmMNwTJkTX;dv;iP=YjVEtF`jNDUSEUsYvYtyR]Q_Us>UxQxqvinr]kF]Yiaqmqs^HUIIxSTNIyvwyxYyOXTLcHvkXncHrPHl?IrpukM=XbIW`HPl`UMaUIMRl`X\\tWNqsHqSnuYlYmC=kB\\XSeVLLT^IsMxNi`qlQSkalgtWGxUuewoPvkf_gGrfxvrakkwsa@iF_q^NnMWffFrxYuYqypf`RyitYtYPkIfasokKx\\q@vZHuV@cBolHQv@>sPo\\KI]BHiCFhuP^ox`>`jNFlqPnipqtQgkalgvgNWdao^`Gs]AsH^jXAm:orVqqw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application performs a worst case circuit analysis of this filter circuit.Specifically, the application
- derives a transfer function describing the ratio of the output voltage to the input voltage
- for each component, calculates the partial derivatives of the transfer function
- generates two parameter sets, taking into account the sign of the partial derivatives
- for both parameter sets, plots the DC response, response at 1.5 kHZ, and a magnitude plotOp amp parameters are taken from a data sheet for a ISL70444SEH op amp. The DC gain is 90 dB, so the
open loop voltage gain LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYmLUkjbWlHRiQ2JVEiQUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1GLzYlUSNvbEYnRjJGNUY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRicvSSttc2VtYW50aWNzR0YkUSdhdG9taWNGJy8lJ2ZhbWlseUdRJkFyaWFsRicvJSVzaXplR1EjMTJGJy8lK2V4ZWN1dGFibGVHRjRGNQ== is 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s = 0 to calculate the DC response over a range of 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A magnitude plot demonstrates how the cutoff frequency varies with the two worst case parameter 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