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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"> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0" size="16"> <b> <inlineAttr line-through="false"> <c val="#000080">gm-C Filter Design Sheet</c> </inlineAttr> </b> </f> </p> </text> </region> <region region-id="899" left="6" top="42" width="301.5" height="105" align-x="6" align-y="42" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="1" display-width="300" display-height="103.5"/> </picture> <rendering item-idref="2"/> </region> <region region-id="922" left="282" top="32.25" width="159.75" height="24" align-x="282" align-y="42" 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"> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false"> <c val="#000080">Chris Haji-Michael www.sunshadow.co.uk/chris.htm</c> </inlineAttr> </b> </f> </p> </text> </region> <region region-id="729" left="12" top="164.25" width="426.75" height="108" align-x="12" 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"> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <c val="#000080">This sheet is used to design the gm-C filter shown above, called a leapfrog realisation. This filter is a 5th order filter.<sp count="2"/>The method I have used is to design from the filter g-coefficients, whice can be obtained from a variety of methods including a program freely available from my web page. </c> <c val="#000080"> I have included some simulation results at the end. </c> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"/> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <c val="#000080">The design equations are from the IEE book "design of high frequency analog filters" Y. Sun plus some lecture notes from Saska Lindfors at Aalborg university</c> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"/> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <c val="#000080">Yellow is user input, Green is output</c> </p> </text> </region> <region region-id="480" left="6" top="300.75" width="195.75" height="14.25" align-x="6" align-y="312" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0" size="12"> <b> <inlineAttr line-through="false"> <c val="#000080">Main user input area:</c> </inlineAttr> </b> </f> </p> </text> </region> <region region-id="904" left="36" top="320.25" width="378" height="24" align-x="44.25" align-y="330" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <c val="#000080">First get the g values, t</c> <c val="#000080">hese are for a </c> <c val="#000080">filter with 0.2dB ripple, Chebychev, N = 5.<sp count="2"/>This design only works for odd values of N. </c> </p> </text> </region> <region region-id="800" left="6" top="357" width="180.75" height="12.75" align-x="18" align-y="366" 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" 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line-through="false"> <c val="#000080">Calculate Values</c> </inlineAttr> </b> </f> </p> </text> </region> <region region-id="889" left="42" top="440.25" width="351.75" height="36" align-x="51" align-y="450" 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"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <c val="#000080">The maths for this filter turns out to be remarkably easy.<sp count="2"/> </c> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <c val="#000080">For smaller capacitors you need to use a lower gm,</c> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" 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