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show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="9" orientation="portrait" print-single-page-width="false" page-width="595.5" page-height="842.25"> <margins left="28.34646" right="28.34646" top="28.31811" bottom="28.31811"/> <header use-full-page-width="false"/> <footer use-full-page-width="false"> <center>{n}</center> </footer> </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="true" 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"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <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="575" 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="513" left="42" top="11.25" width="459.75" height="15.75" align-x="42" 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">VCO & PLL Problems</c> </inlineAttr> </f> </text> </region> <region region-id="514" left="30" top="38.25" width="471.75" height="36" align-x="30" align-y="48" 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">In this sheet I have put two simple analysis for two common VCO & PLL problems.</c> <c val="#000080">Yellow = input, Green = output</c> </text> </region> <region region-id="515" left="312" top="92.25" width="194.25" height="24" align-x="312" align-y="102" 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="10"> <inlineAttr line-through="false"> <c val="#000080">Chris Haji-Michael</c> </inlineAttr> </f> <f family="Arial" charset="0" size="10"> <inlineAttr line-through="false"> <c val="#000080">http://www.sunshadow.co.uk/chris.htm</c> </inlineAttr> </f> </text> </region> <region region-id="516" left="42" top="143.25" width="459.75" height="15.75" align-x="42" align-y="156" 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">PLL Charge Leakage Calculation from level of Phase Reference Spurs </c> </inlineAttr> </f> </text> </region> <region region-id="546" left="18" top="164.25" width="510" height="60" align-x="18" align-y="174" 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">In a PLL the VCO generates sidebands which are commonly referred to a the Phase Reference Spurs.<sp count="2"/>These are generated by modulation on the VCO control line caused by the PLL charge pump.<sp count="2"/>This modulation on the VCO tune line cannot be seen on a scope as the level is too low.</c> <c val="#000080">This sheet calculates the 'modulation' voltage assuming low index FM moluation.</c> </text> </region> <region region-id="547" left="360" top="264" width="155.25" height="99" align-x="360" align-y="264" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{00021A13-0000-0000-C000-000000000046}" type="static" item-idref="2"/> <rendering item-idref="3"/> </region> <region region-id="519" left="18" top="285" width="72" height="12.75" align-x="67.5" align-y="294" 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">spur_level</ml:id> <ml:real>-60</ml:real> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="520" left="108" top="284.25" width="20.25" height="12" align-x="108" align-y="294" 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">-dBc</c> </text> </region> <region region-id="521" left="18" top="308.25" width="89.25" height="27.75" align-x="66" align-y="324" 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">VCO_gain</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>20</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">MHz</ml:id> <ml:id xml:space="preserve">volt</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="522" left="132" top="315" width="108" height="12.75" align-x="200.25" align-y="324" 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">unwanted_freq</ml:id> <ml:apply> <ml:mult/> <ml:real>10</ml:real> <ml:id xml:space="preserve">MHz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="548" left="426" top="356.25" width="45" height="12" align-x="426" align-y="366" 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"> frequency </text> </region> <region region-id="524" left="18" top="347.25" width="248.25" height="48.75" align-x="123" align-y="384" 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">Vmodulation_equivalent</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:pow/> <ml:real font="0">10</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">spur_level</ml:id> <ml:real>20</ml:real> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">unwanted_freq</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">VCO_gain</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="549" left="354" top="381" width="129.75" height="12.75" align-x="457.5" align-y="390" 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">Vmodulation_equivalent</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">mV</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="millivolt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="8"/> </region> <region region-id="526" left="36" top="449.25" width="459.75" height="15.75" align-x="36" 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="14"> <inlineAttr line-through="false"> <c val="#000080">Phase Reference Spurs Simulation</c> </inlineAttr> </f> </text> </region> <region region-id="527" left="24" top="482.25" width="471.75" height="24" align-x="24" align-y="492" 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">It is always nice to have a simulation, here is ADS simulating the setup above, VCO gain = 20MHz/V, unwanted frequency = 10MHz and the modulation level is 1mV, giving sidebands at -60dBc.</c> </text> </region> <region region-id="528" left="54" top="528" width="428.25" height="140.25" align-x="54" align-y="528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{D3E34B21-9D75-101A-8C3D-00AA001A1652}" type="embedded" item-idref="9"/> <rendering item-idref="10"/> </region> <region region-id="529" left="84" top="797.25" width="352.5" height="15.75" align-x="84" align-y="810" 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">VCO Noise from a Resistor Voltage Noise</c> </inlineAttr> </f> </text> </region> <region region-id="530" left="18" top="824.25" width="487.5" height="72" align-x="18" align-y="834" 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">The next analysis is to show the affect of resistor noise on the VCO.<sp count="2"/>The resistor could be part of the loop filter.<sp count="2"/>The resistor noise is flat, but this modulates the VCO to give a 1/f spectrum.<sp count="2"/>The ResBW used in this calculation is the fourier resolution, set in the spectrum analyser function on ADS.</c> <c val="#000080">This shows that if 200kOhm is used, then at 1kHz the noise from this is likely to be dominant at -60dBc/sqr(Hz), depending on the noise within the loop.</c> </text> </region> <region region-id="531" left="18" top="915" width="150" height="21" align-x="33" align-y="930" 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="b">k</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>1.380658</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-23</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">m</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">kg</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">s</ml:id> <ml:real>-2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">K</ml:id> <ml:real>-1</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="532" left="210" top="921" width="45" height="12.75" align-x="222.75" align-y="930" 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">T</ml:id> <ml:apply> <ml:mult/> <ml:real>300</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="554" left="18" top="949.5" width="137.25" height="16.5" align-x="99.75" align-y="960" 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">NoiseVoltage</ml:id> <ml:boundVars> <ml:id xml:space="preserve">res</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve" subscript="b">k</ml:id> </ml:apply> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:id xml:space="preserve">res</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="573" left="18" top="972.75" width="303" height="29.25" align-x="135" align-y="990" 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">VCO_Noise_dBc</ml:id> <ml:boundVars> <ml:id xml:space="preserve">freq</ml:id> <ml:id xml:space="preserve">res</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:apply> <ml:id xml:space="preserve">log</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">NoiseVoltage</ml:id> <ml:id xml:space="preserve">res</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:id xml:space="preserve">Hz</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">VCO_gain</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">freq</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="569" left="60" top="1014" width="448.5" height="207.75" align-x="60" align-y="1014" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="15"/> <rendering item-idref="16"/> </region> <region region-id="539" left="36" top="1235.25" width="459.75" height="15.75" align-x="36" align-y="1248" 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">VCO Noise Simulation</c> </inlineAttr> </f> </text> </region> <region region-id="559" left="12" top="1262.25" width="506.25" height="132" align-x="12" align-y="1272" 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">Again a simulation is required using ADS.<sp count="2"/>A resistor of 100Mohm is connected to<sp count="2"/>a VCO with gain set to 20MHz/V, and the spectrum is shown below.<sp count="2"/> </c> <c val="#000080">I have filtered the noise from the resistor using a three pole C-L-C passive filter.</c> <c val="#000080">The simulated rms noise voltage at 9.85mV, agrees reasonably closely with the calculated value of 9.101mV, and is expected to be higher as the noise BW of a filter is usually higher than the 3dB BW.<sp count="2"/> </c> <c val="#000080">The noise power spectrum is calculated using same FM equation as in the first section and assumes the modulation is at a low level.<sp count="2"/> </c> <c val="#000080">The simulated noise sidebands at -65.9dBc agree reasonably well with the calculated value of -67.8dBc.</c> </text> </region> <region region-id="572" left="48" top="1455" width="72.75" height="12.75" align-x="85.5" align-y="1464" 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">ResBW</ml:id> <ml:real>100000</ml:real> </ml:define> </math> <rendering item-idref="17"/> </region> <region 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<pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="9" orientation="portrait" print-single-page-width="false" page-width="595.5" page-height="842.25"> <margins left="28.34646" right="28.34646" top="28.31811" bottom="28.31811"/> <header use-full-page-width="false"/> <footer use-full-page-width="false"> <center>{n}</center> </footer> </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="true" 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"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <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="575" 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="513" left="42" top="11.25" width="459.75" height="15.75" align-x="42" 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">VCO & PLL Problems</c> </inlineAttr> </f> </text> </region> <region region-id="514" left="30" top="38.25" width="471.75" height="36" align-x="30" align-y="48" 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">In this sheet I have put two simple analysis for two common VCO & PLL problems.</c> <c val="#000080">Yellow = input, Green = output</c> </text> </region> <region region-id="515" left="312" top="92.25" width="194.25" height="24" align-x="312" align-y="102" 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="10"> <inlineAttr line-through="false"> <c val="#000080">Chris Haji-Michael</c> </inlineAttr> </f> <f family="Arial" charset="0" size="10"> <inlineAttr line-through="false"> <c val="#000080">http://www.sunshadow.co.uk/chris.htm</c> </inlineAttr> </f> </text> </region> <region region-id="516" left="42" top="143.25" width="459.75" height="15.75" align-x="42" align-y="156" 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">PLL Charge Leakage Calculation from level of Phase Reference Spurs </c> </inlineAttr> </f> </text> </region> <region region-id="546" left="18" top="164.25" width="510" height="60" align-x="18" align-y="174" 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">In a PLL the VCO generates sidebands which are commonly referred to a the Phase Reference Spurs.<sp count="2"/>These are generated by modulation on the VCO control line caused by the PLL charge pump.<sp count="2"/>This modulation on the VCO tune line cannot be seen on a scope as the level is too low.</c> <c val="#000080">This sheet calculates the 'modulation' voltage assuming low index FM moluation.</c> </text> </region> <region region-id="547" left="360" top="264" width="155.25" height="99" align-x="360" align-y="264" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{00021A13-0000-0000-C000-000000000046}" type="static" item-idref="2"/> <rendering item-idref="3"/> </region> <region region-id="519" left="18" top="285" width="72" height="12.75" align-x="67.5" align-y="294" 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">spur_level</ml:id> <ml:real>-60</ml:real> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="520" left="108" top="284.25" width="20.25" height="12" align-x="108" align-y="294" 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">-dBc</c> </text> </region> <region region-id="521" left="18" top="308.25" width="89.25" height="27.75" align-x="66" align-y="324" 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">VCO_gain</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>20</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">MHz</ml:id> <ml:id xml:space="preserve">volt</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="522" left="132" top="315" width="108" height="12.75" align-x="200.25" align-y="324" 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">unwanted_freq</ml:id> <ml:apply> <ml:mult/> <ml:real>10</ml:real> <ml:id xml:space="preserve">MHz</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="548" left="426" top="356.25" width="45" height="12" align-x="426" align-y="366" 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"> frequency </text> </region> <region region-id="524" left="18" top="347.25" width="248.25" height="48.75" align-x="123" align-y="384" 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">Vmodulation_equivalent</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:pow/> <ml:real font="0">10</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">spur_level</ml:id> <ml:real>20</ml:real> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">unwanted_freq</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">VCO_gain</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="549" left="354" top="381" width="129.75" height="12.75" align-x="457.5" align-y="390" 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">Vmodulation_equivalent</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">mV</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="millivolt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="8"/> </region> <region region-id="526" left="36" top="449.25" width="459.75" height="15.75" align-x="36" 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="14"> <inlineAttr line-through="false"> <c val="#000080">Phase Reference Spurs Simulation</c> </inlineAttr> </f> </text> </region> <region region-id="527" left="24" top="482.25" width="471.75" height="24" align-x="24" align-y="492" 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">It is always nice to have a simulation, here is ADS simulating the setup above, VCO gain = 20MHz/V, unwanted frequency = 10MHz and the modulation level is 1mV, giving sidebands at -60dBc.</c> </text> </region> <region region-id="528" left="54" top="528" width="428.25" height="140.25" align-x="54" align-y="528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{D3E34B21-9D75-101A-8C3D-00AA001A1652}" type="embedded" item-idref="9"/> <rendering item-idref="10"/> </region> <region region-id="529" left="84" top="797.25" width="352.5" height="15.75" align-x="84" align-y="810" 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">VCO Noise from a Resistor Voltage Noise</c> </inlineAttr> </f> </text> </region> <region region-id="530" left="18" top="824.25" width="487.5" height="72" align-x="18" align-y="834" 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">The next analysis is to show the affect of resistor noise on the VCO.<sp count="2"/>The resistor could be part of the loop filter.<sp count="2"/>The resistor noise is flat, but this modulates the VCO to give a 1/f spectrum.<sp count="2"/>The ResBW used in this calculation is the fourier resolution, set in the spectrum analyser function on ADS.</c> <c val="#000080">This shows that if 200kOhm is used, then at 1kHz the noise from this is likely to be dominant at -60dBc/sqr(Hz), depending on the noise within the loop.</c> </text> </region> <region region-id="531" left="18" top="915" width="150" height="21" align-x="33" align-y="930" 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="b">k</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>1.380658</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-23</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">m</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">kg</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">s</ml:id> <ml:real>-2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">K</ml:id> <ml:real>-1</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="532" left="210" top="921" width="45" height="12.75" align-x="222.75" align-y="930" 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">T</ml:id> <ml:apply> <ml:mult/> <ml:real>300</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="554" left="18" top="949.5" width="137.25" height="16.5" align-x="99.75" align-y="960" 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">NoiseVoltage</ml:id> <ml:boundVars> <ml:id xml:space="preserve">res</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve" subscript="b">k</ml:id> </ml:apply> <ml:id xml:space="preserve">T</ml:id> </ml:apply> <ml:id xml:space="preserve">res</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="573" left="18" top="972.75" width="303" height="29.25" align-x="135" align-y="990" 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">VCO_Noise_dBc</ml:id> <ml:boundVars> <ml:id xml:space="preserve">freq</ml:id> <ml:id xml:space="preserve">res</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:apply> <ml:id xml:space="preserve">log</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">NoiseVoltage</ml:id> <ml:id xml:space="preserve">res</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:id xml:space="preserve">Hz</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">VCO_gain</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">freq</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="569" left="60" top="1014" width="448.5" height="207.75" align-x="60" align-y="1014" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="15"/> <rendering item-idref="16"/> </region> <region region-id="539" left="36" top="1235.25" width="459.75" height="15.75" align-x="36" align-y="1248" 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">VCO Noise Simulation</c> </inlineAttr> </f> </text> </region> <region region-id="559" left="12" top="1262.25" width="506.25" height="132" align-x="12" align-y="1272" 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">Again a simulation is required using ADS.<sp count="2"/>A resistor of 100Mohm is connected to<sp count="2"/>a VCO with gain set to 20MHz/V, and the spectrum is shown below.<sp count="2"/> </c> <c val="#000080">I have filtered the noise from the resistor using a three pole C-L-C passive filter.</c> <c val="#000080">The simulated rms noise voltage at 9.85mV, agrees reasonably closely with the calculated value of 9.101mV, and is expected to be higher as the noise BW of a filter is usually higher than the 3dB BW.<sp count="2"/> </c> <c val="#000080">The noise power spectrum is calculated using same FM equation as in the first section and assumes the modulation is at a low level.<sp count="2"/> </c> <c val="#000080">The simulated noise sidebands at -65.9dBc agree reasonably well with the calculated value of -67.8dBc.</c> </text> </region> <region region-id="572" left="48" top="1455" width="72.75" height="12.75" align-x="85.5" align-y="1464" 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">ResBW</ml:id> <ml:real>100000</ml:real> </ml:define> </math> <rendering item-idref="17"/> </region> <region 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