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<document xmlns="http://cnx.rice.edu/cnxml" xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/" id="id6969513">
  <name>Two Types of Error-Performance Degradation</name>
  <metadata>
  <md:version>1.2</md:version>
  <md:created>2007/11/13 03:46:46 US/Central</md:created>
  <md:revised>2007/11/14 05:41:55.054 US/Central</md:revised>
  <md:authorlist>
      <md:author id="TaHongHa">
      <md:firstname>Ha</md:firstname>
      <md:othername>Hong</md:othername>
      <md:surname>Ta</md:surname>
      <md:email>tahongha@yahoo.com</md:email>
    </md:author>
      <md:author id="tuandohong">
      <md:firstname>Tuan</md:firstname>
      
      <md:surname>Do-Hong</md:surname>
      <md:email>do-hong@hcmut.edu.vn</md:email>
    </md:author>
  </md:authorlist>

  <md:maintainerlist>
    <md:maintainer id="TaHongHa">
      <md:firstname>Ha</md:firstname>
      <md:othername>Hong</md:othername>
      <md:surname>Ta</md:surname>
      <md:email>tahongha@yahoo.com</md:email>
    </md:maintainer>
    <md:maintainer id="tuandohong">
      <md:firstname>Tuan</md:firstname>
      
      <md:surname>Do-Hong</md:surname>
      <md:email>do-hong@hcmut.edu.vn</md:email>
    </md:maintainer>
  </md:maintainerlist>
  
  <md:keywordlist>
    <md:keyword>Degradation</md:keyword>
    <md:keyword>Error-Performance</md:keyword>
  </md:keywordlist>

  <md:abstract/>
</metadata>
  <content>
    
    <para id="id7027020">Error-performance degradation can be classifyed in two group. The first one is due to a decrease in received signal power or an increase in noise or inteference power, giving rise to a loss in signal-to-noise ratio 
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mrow><m:msub><m:mi>E</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mi>B</m:mi></m:mrow></m:mstyle></m:msub><m:mo stretchy="false">/</m:mo><m:msub><m:mi>N</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mn>0</m:mn></m:mrow></m:mstyle></m:msub></m:mrow></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{E rSub { size 8{B} } /N rSub { size 8{0} } } {}</m:annotation></m:semantics></m:math>. The second one is due to signal distortion such as ISI.</para>
    
    
    <figure id="element-950"><media type="image/png" src="graphics1.png">
        <param name="height" value="288"/>
        <param name="width" value="376"/>
      </media>
<caption>Bit error probability</caption></figure>
    
    <para id="id7027124">Suppose that we need a communication system with a bit-error probability 
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:msub><m:mi>P</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mi>B</m:mi></m:mrow></m:mstyle></m:msub></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{P rSub { size 8{B} } } {}</m:annotation></m:semantics></m:math> versus 
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mrow><m:msub><m:mi>E</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mi>b</m:mi></m:mrow></m:mstyle></m:msub><m:mo stretchy="false">/</m:mo><m:msub><m:mi>N</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mn>0</m:mn></m:mrow></m:mstyle></m:msub></m:mrow></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{E rSub { size 8{b} } /N rSub { size 8{0} } } {}</m:annotation></m:semantics></m:math> characteristic corresponding to the solid-line curve plotted in figure 1. Suppose that after the system is configured, the performance dose not follow the theoretical curve, but in facts follows the dashed line plot (1). A loss in 
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mrow><m:msub><m:mi>E</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mi>b</m:mi></m:mrow></m:mstyle></m:msub><m:mo stretchy="false">/</m:mo><m:msub><m:mi>N</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mn>0</m:mn></m:mrow></m:mstyle></m:msub></m:mrow></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{E rSub { size 8{b} } /N rSub { size 8{0} } } {}</m:annotation></m:semantics></m:math> due to some signal losses or an increased level of noise or interference. This loss in 
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mrow><m:msub><m:mi>E</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mi>B</m:mi></m:mrow></m:mstyle></m:msub><m:mo stretchy="false">/</m:mo><m:msub><m:mi>N</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mn>0</m:mn></m:mrow></m:mstyle></m:msub></m:mrow></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{E rSub { size 8{B} } /N rSub { size 8{0} } } {}</m:annotation></m:semantics></m:math> is not so terrible when compared with possible effects of degradation caused by a distortion mechanism corresponding to the dashed line plot (2). Instead of suffering a simple loss in signal-to-noise ratio there is a degradation effect brought about by ISI. If there is no solution to this problem, there is no a mount of 
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mrow><m:msub><m:mi>E</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mi>B</m:mi></m:mrow></m:mstyle></m:msub><m:mo stretchy="false">/</m:mo><m:msub><m:mi>N</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mn>0</m:mn></m:mrow></m:mstyle></m:msub></m:mrow></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{E rSub { size 8{B} } /N rSub { size 8{0} } } {}</m:annotation></m:semantics></m:math> that will improve this problem. More 
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mrow><m:msub><m:mi>E</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mi>B</m:mi></m:mrow></m:mstyle></m:msub><m:mo stretchy="false">/</m:mo><m:msub><m:mi>N</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mn>0</m:mn></m:mrow></m:mstyle></m:msub></m:mrow></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{E rSub { size 8{B} } /N rSub { size 8{0} } } {}</m:annotation></m:semantics></m:math> can not help the ISI problem because a incresing in 
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mrow><m:msub><m:mi>E</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mi>B</m:mi></m:mrow></m:mstyle></m:msub><m:mo stretchy="false">/</m:mo><m:msub><m:mi>N</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mn>0</m:mn></m:mrow></m:mstyle></m:msub></m:mrow></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{E rSub { size 8{B} } /N rSub { size 8{0} } } {}</m:annotation></m:semantics></m:math> dose not make change in overlapped pulses.</para>
  </content>
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