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  <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/">Signals are functions</name>
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      <md:firstname xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/">Richard</md:firstname>
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    <para 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="delete_me">
       A signal is a function that maps an independent variable into a
       dependent variable.  The function f(x), for each value of x,
       produces the value f(x)

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       There are four ways to classify signals according to the values that the   
       independent and dependent variables can take. Refer to the table below.
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    </para>   
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      <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/"> Quick Aside on Signal Notation</name>
      <para 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="religion">
	Continuous Time signals are represented as 
	<m:math>
	  <m:apply>
	    <m:ci type="fn">f</m:ci>
	    <m:ci>t</m:ci>
	  </m:apply>
	</m:math>  where 
	<m:math>
	  <m:apply>
	    <m:in/>
	    <m:ci>t</m:ci>
	    <m:reals/>
	  </m:apply>
	</m:math>. Discrete Time signals are represented as 
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	  <m:apply>
	    <m:ci type="fn" class="discrete">f</m:ci>
	    <m:ci>n</m:ci>
	  </m:apply>
	</m:math> where  
	<m:math>
	  <m:apply>
	    <m:in/>
	    <m:ci>n</m:ci>
	    <m:integers/>
	  </m:apply>
	</m:math>

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