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          <TD><IMG height=5 
            src="TechXclusives - Digitally Removing a DC Offset (or DSP Without Math) - Part 2_files/dot_clear.gif" 
            width=1><BR><SPAN class=STEP-HEADING-TEXT>TechXclusives</SPAN></TD>
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            href="http://www.xilinx.com/xlnx/xweb/xil_tx_printfriendly.jsp?iLanguageID=1&amp;category=-1211408&amp;sGlobalNavPick=&amp;sSecondaryNavPick=&amp;sTechX_ID=kc_dig_offset&amp;multPartNum=2"><IMG 
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    <TD><FONT face="Times New Roman" size=2>
      <H2>Digitally Removing a DC Offset (or "DSP Without Math?") - Part 
      2</H2></FONT></TD></TR></TBODY></TABLE>
<TABLE cellSpacing=0 cellPadding=0 width=600>
  <TBODY>
  <TR>
    <TD align=right>Back to <A 
      href="http://www.xilinx.com/xlnx/xweb/xil_tx_display.jsp?iLanguageID=1&amp;category=-1211408&amp;sGlobalNavPick=&amp;sSecondaryNavPick=&amp;multPartNum=2&amp;sTechX_ID=kc_dig_offset">Digitally 
      Removing a DC Offset (or "DSP Without Math?")</B></A> </TD></TR></TBODY></TABLE>
<TABLE width=600 border=1>
  <TBODY>
  <TR bgColor=#f7f7e7>
    <TD width="50%"><FONT face="Times New Roman" size=2><B>Author: </B>Ken 
      Chapman<BR></FONT></TD>
    <TD bgColor=#e7e7de><FONT face="Times New Roman" size=2><B>Publication 
      Date:</B> 02/03/2003<BR></FONT></TD></TR></TBODY></TABLE>
<TABLE width=600 border=1>
  <TBODY>
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    <TD>
      <P><FONT face="Times New Roman" size=2>
      <H4>Introduction</H4>
      <P>
      <P>Welcome to the second part of this TechXclusive! Were you were able to 
      spot the first optimisations that I am going to make to the circuit? </P>
      <P>After the optimisations are made to the algorithm, I will focus on how 
      to make a smaller and more efficient version for audio telecom 
      applications. This is pure hardware engineering, and I don't feel that any 
      design is complete until it has an SRL16E in it! I suggest you read my 
      previous TechXclusive articles about the SRL16E before you read the last 
      section of this one. </P>
      <P>
      <H4>Removing the Multiplier Logic</H4>
      <P>
      <P>Potentially, the largest part of the circuit so far is the multiplier. 
      Although you may have some dedicated multipliers to spare in future 
      Virtex?-II designs, it is likely that the multiplier is costing slices in 
      most cases. For really cost-sensitive designs with Spartan?-II, we should 
      be doing everything possible to reduce size and stay in the smallest 
      device. </P>
      <P>It is actually very easy to remove the multiplier from this circuit, 
      and hopefully you have already seen how it can be achieved. I left a 
      rather big clue on the two response plots in the last article by 
      specifying the coefficient values as k=1/32 and k=1/256. In both cases, 
      these values are represented by numbers in which only one bit is active. I 

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