.MCAD 310000000 \  docDocument MmcObject[ d2_graph_format graphData%In  axisFormat)F)Gtrace2D&& theoretical&measured&&&&&&& & & & & &&& )T0 1 1 1 )\0 1 1 1 15 0 0 3 &&1 1 1 1 NO-TRACE-STRING&1 1 1 1 NO-TRACE-STRING&1 1 1 1 NO-TRACE-STRING&1 1 1 1 NO-TRACE-STRING&1 1 1 1 NO-TRACE-STRING&1 1 1 1 NO-TRACE-STRING&1 1 1 1 NO-TRACE-STRING&1 1 1 1 NO-TRACE-STRING&1 1 1 1 NO-TRACE-STRING &1 1 1 1 NO-TRACE-STRING &1 1 1 1 NO-TRACE-STRING &1 1 1 1 NO-TRACE-STRING &1 1 1 1 NO-TRACE-STRING &1 1 1 1 NO-TRACE-STRING&1 1 1 1 NO-TRACE-STRING&1 1 1 1 NO-TRACE-STRING dim_formatTmasslengthtimecharge temperature luminosity substanceNumericalFormatQdii  shpRectV0_JmcDocumentObjectState\ mcPageModelK?>].?].?mcHeaderFooterI@I  CHeaderFooterJ@J@J@J MbP?MbP? TextState? TextStyle>@ Arial0,0,128Serial_ParPropDefaultW?Normalfont_style_listO font_styleP  VariablesArial@P  ConstantsArial@P TextArial@P Greek VariablesSymbol@P User^1 MS Sans Serif@P User^2Courier@P User^3System@P User^4Script@P User^5Terminal@P User^6Modern@P User^7Times New Roman@P SymbolsSymbol@P Current Selection FontArial@P5Undefined Font@P OgHeaderArial@P OgFooterArial@P Rotated Math FontArial TextRegion* docRegionGshpBoxU$  CharacterMap-RangeMap;@PPlot of Signal/Noise against ADC/DAC quantisation (n) for Sinusoidal Modulation  ChrPropMap7P  RangeElem<P  ChrPropData8 RangeData=nArial0,0,128 ParPropMap9P @@log@@@@p>@A@@@@@B@@@@A@C@@t@B3@D@@@B2@E@@p@A@F@@@E@G@@t@F2@H@@@F@I@@t@H2@J@@@Hn@K@@;@L@@t@K20@M@@@K@N@@d@Mlog@O@@p@M@P@@@OM@Q*@U,:-SNR of standard ADC or DAC79@R<@S:@W?1@T</@U<@V0@NormalArial @W@B@UH00H0@X@@ p@Y@@@X@Z@@@@Y@[@@@@Z@\@@@@[@]@@t@\250@^@@@\10@_@@@[@`@@t@_0@a@@@_0@b@@@Z@c@@d@bSNR@d@@p@b@e@@@dn@f@@@Y@g@@@@f@h@@@@g@i@@t@h42@j@@@h2@k@@@g@l@@t@k0@m@@@k0@n@@@fn@o = ) n) SNRSNR of standard ADC&&&&&&&&&& & & & & &&&@p@B@UHK]ZX@q@@ p@r@@ @q@s@@d@rB@t@@@r@u@@t@t22@v@@@tkHz@w*@UPK[PXZ-B = Bandwidth of wanted signal79@x<@y:@W?1@z</@{<@|0@NormalArial @}*@U@{@00-@The Max_Jitter is the maximum allowed clock jitter for the ADC to perform to spec. It is a function of the bandwidth B and the oversampling ration M79@~<@:@W?1@</@<@0@NormalArial @@B@UHr@@@ p@@@ @@@@@@@@@d@ Max_Jitter@@@p@@@@@n@@@@@@@@@@@@t@1@@@@@@@@@@@@@@@@@t@2@@@@\p@@@@B@@@@@@@t@2@@@@n@@@@@@@p@@@@@@@@@@@@@@t@2@@@@M@@@@3@@@@0.5@@B@U@@@ p@@@@@@@@@@@@@@@@@@@@@@B@@@@t@2.9534@@@@@@@t@10@@@K@@@@@6@@@@@@@t@3.35762@@@@@@@t@10@@@K@@@@@19@@@@@@@@@@@@@@@@@@@@d@ Max_Jitter@@@p@@@@@n@@@@@@@@@@@@@@@@@t@42@@@@2@@@@@@@@@@@@@@@@@n@ A ) )GSecondsMaximum Allowed Timing Jitter&& theoretical&measured&&&&&&& & & & & &&&@*@U8+ 88lll-BnThis page plots the SNR of an oversampled delta-sigma ADC or DAC. The oversampling, usually at many times the nyquist rate and the use signal processing techniques increase the effective quantisation. It amazes me that a good SNR that can be achieved with low quantisation but high sampling. The key different parameter is L which is the modulator order. When L = 1, the error in the next signal is taken as being the error measured in the previous. This is ok for exceedingly slow signals. When L = 2, the error is assumed to vary linearly. M = Oversampling Ratio, set for much higher for delta-sigma converter7n9n@@@A=A?@@@A>A@@@@A?AA@@@A@AB@@tAA250AC@@AA10AD@@A@AE@@tAD0AF@@AD0AG@@ A?AH@@ @AGAI@@ @AHAJ@@@AIAK@@dAJSNR_dsAL@@pAJAM@@ ALAN@@ @AMAO@@dANnAP@@AN1AQ@@AM64AR@@AIAS@@dARSNR_dsAT@@pARAU@@ ATAV@@ @AUAW@@dAVnAX@@AV2AY@@AU64AZ@@AHA[@@dAZSNR_dsA\@@pAZA]@@ A\A^@@ @A]A_@@dA^nA`@@A^3Aa@@A]64Ab@@AGAc@@dAbSNRAd@@pAbAe@@AdnAf@@A>Ag@@@AfAh@@@AgAi@@tAh32Aj@@Ah2Ak@@AgAl@@tAk0Am@@Ak0An@@AfnAo @ )n) SNRNoise Perfomance (M = 64)&&&&&&&&&& & & & & &&&Ap@B@U @X @Aq@@ pAr@@AqAs@@@ArAt@@@AsAu@@@AtAv@@tAu250Aw@@Au10Ax@@AtAy@@tAx0Az@@Ax0A{@@ AsA|@@ @A{A}@@ @A|A~@@@A}A@@dA~SNR_dsA@@pA~A@@ AA@@ @AA@@dAnA@@A1A@@A512A@@A}A@@dASNR_dsA@@pAA@@ AA@@ @AA@@dAnA@@A2A@@A512A@@A|A@@dASNR_dsA@@pAA@@ AA@@ @AA@@dAnA@@A3A@@A512A@@A{A@@dASNRA@@pAA@@AnA@@ArA@@@AA@@@AA@@tA32A@@A2A@@AA@@tA0A@@A0A@@AnA ? )n) SNRNoise Perfomance (M = 512)&&&&&&&&&& & & & & &&&