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<h3>Admittance Parameters &nbsp;&nbsp;
<a href="javascript:void(0);" onClick="var e; if (parseInt(navigator.appVersion)>=4){e=event;}  if (parseInt(navigator.appVersion) >=2 && typeof(PickupDialog_Invoke) == 'function') PickupDialog_Invoke(e,'','Impedances','../../MMI_Reference/Trace/Measure/Impedance/Impedance.htm','Mixed Mode Parameters','Mixed_Mode_Parameters.htm','Z-Parameters','../../MMI_Reference/Trace/Measure/Z-Parameters/Z_Parameters.htm');return false;" title="Related Topics"><img src="../../ss_btn_related_topics2.gif" border=0 height=17 width=81 alt="Related Topics"></a>

 </h3>

<p class=Linkline>An admittance is the complex ratio between a current 
 and a voltage. The analyzer provides two independent sets of admittance 
 parameters, essentially based on different n-port circuit models: </p>

<ul type="disc" class="whs1">
	
	<li class=kadov-p-CList><p class=List>Matched-circuit <a href="#Converted_Admittances"
															id=A7
															style="/*begin!kadov{{*/ position: relative; /*}}end!kadov*/ ">admittances</a><script 
 type="text/javascript"
	language=JavaScript1.2><!--
kadovInitEffects('A7');
//--></script>, 
 converted from S-parameters</p></li>
	
	<li class=kadov-p-CList><p class=List>Short-circuit <a href="#Short_circuit_admittances"
															id=A8
															style="/*begin!kadov{{*/ position: relative; /*}}end!kadov*/ ">Y-parameters</a><script 
 type="text/javascript"
	language=JavaScript1.2><!--
kadovInitEffects('A8');
//--></script> 
 </p></li>
</ul>


<hr align="center" width="50%" class="whs2">


<h4><a name=Converted_Admittances></a>Converted Admittances</h4>

<p>The converted (matched-circuit) admittances describe the admittances 
 of a DUT that is terminated at its outputs with the reference impedance 
 values Z<span style="vertical-align: Sub;">0i</span> displayed in the 
 <span style="font-style: italic;"><I><a href="../../MMI_Reference/Channel/Mode/Channel_Mode.htm"
										id=a2
										style="/*begin!kadov{{*/ position: relative; /*}}end!kadov*/ ">Port 
 Configuration</a><script type="text/javascript"
												language=JavaScript1.2><!--
kadovInitEffects('a2');
//--></script></I></span> 
 dialog. i numbers the analyzer/DUT port. The analyzer converts the measured 
 S-parameters to determine the matched-circuit admittances. The converted 
 admittances are the inverse of the converted <a href="Impedance_Parameters.htm#Converted_Impedances"
												id=a19
												style="/*begin!kadov{{*/ position: relative; /*}}end!kadov*/ ">impedances</a><script 
 type="text/javascript"
	language=JavaScript1.2><!--
kadovInitEffects('a19');
//--></script>. 
 </p>

<p>The reflection parameters are calculated according to: </p>

<p class=Figure><img src="../../MMI_Reference/Trace/Measure/Admittance/Y_formula.gif" width="155px" height="41px" border="0" class="img_whs3"></p>

<p>where i numbers the analyzer/DUT port. The transmission parameters are 
 calculated according to: </p>

<p class=Figure><img src="../../MMI_Reference/Trace/Measure/Admittance/Y_formula_trans.gif" width="323px" height="47px" border="0" class="img_whs4"></p>

<p><span style="font-weight: bold;"><B>Examples:</B></span> </p>

<ul type="disc" class="whs1">
	
	<li class=kadov-p-CList><p class=List>Y11 is the input admittance of 
 a 2-port DUT that is terminated at its output with the reference impedance 
 Z<span style="vertical-align: Sub;">0</span> (matched -circuit admittance 
 measured in a forward reflection measurement). &nbsp;</p></li>
	
	<li class=kadov-p-CList><p class=List>The extension of the admittances 
 to more ports and mixed mode measurements is analogous to S-parameters. 
 Ydd44 is the differential mode input admittance at port 4 of a DUT that 
 is terminated at its other ports with the reference impedance Z<span style="vertical-align: Sub;">0</span>. 
 See <span style="font-style: italic;"><I><a href="../../MMI_Reference/Trace/Measure/Admittance/Admittance.htm#More_Y_Parameters" id="A6" style="/*begin!kadov{{*/ position: relative; /*}}end!kadov*/ ">More 
 Admittances</a><script type="text/javascript"
											language=JavaScript1.2><!--
kadovInitEffects('A6');
//--></script></I></span> 
 for detailed information. </p></li>
</ul>

<p><img src="../../small_images/tip.jpg" x-maintain-ratio="TRUE" width="36px" height="37px" border="0" class="img_whs5">You can also read the converted admittances in a reflection 
 coefficient measurement from the <a href="../Screen_Elements/Display_Formats_and_Diagram_Types.htm#Inverted_Smith_Chart" id="A13" style="/*begin!kadov{{*/ position: relative; /*}}end!kadov*/ ">inverted 
 Smith chart</a><script type="text/javascript"
											language=JavaScript1.2><!--
kadovInitEffects('A13');
//--></script>. 
 &nbsp;</p>


<hr align="center" width="50%" class="whs2">


<h4><a name=Short_circuit_admittances></a>Y-Parameters</h4>

<p>The Y-parameters describe the admittances of a DUT with output ports 
 terminated in a short circuit (V = 0). The analyzer provides the full 
 set of short-circuit admittances including the transfer admittances (i.e. 
 the complete n x n Y-matrix for an n port DUT). </p>

<p>This means that Y-parameters can be used as an alternative to S-parameters 
 (or <a HREF="Impedance_Parameters.htm#Open_circuit_impedances"
		id=A4
		style="/*begin!kadov{{*/ position: relative; /*}}end!kadov*/ ">Z-parameters</a><script 
 type="text/javascript"
	language=JavaScript1.2><!--
kadovInitEffects('A4');
//--></script>) 
 in order to completely characterize a linear n-port network. </p>


<hr align="center" width="50%" class="whs2">


<h5><a name=2_port_Y_parameters></a>2-Port Short-Circuit Y-Parameters</h5>

<p>In analogy to <a href="S-Parameters.htm"
					id=A1
					style="/*begin!kadov{{*/ position: relative; /*}}end!kadov*/ ">S-parameters</a><script 
 type="text/javascript"
	language=JavaScript1.2><!--
kadovInitEffects('A1');
//--></script>, 
 Y-parameters are expressed as Y<span style="vertical-align: Sub;">&lt;out&gt;&lt; 
 in&gt;</span>, where &lt;out&gt; and &lt;in&gt; denote the output and 
 input port numbers of the DUT. </p>

<p>In analogy to open-circuit <a href="Impedance_Parameters.htm#2_port_Z_parameters"
								id=A11
								style="/*begin!kadov{{*/ position: relative; /*}}end!kadov*/ ">Z-parameters</a><script 
 type="text/javascript"
	language=JavaScript1.2><!--
kadovInitEffects('A11');
//--></script>, 
 the short-circuit Y-parameters for a two-port are based on a circuit model 
 that can be expressed with two linear equations: </p>

<p class=Figure><img src="../../MMI_Reference/Trace/Measure/Y-Parameters/Y-Formula.gif" width="115px" height="45px" border="0" class="img_whs6"></p>

<p class=Dropdownline><img src="../../small_images/info_red.jpg" x-maintain-ratio="TRUE" width="32px" height="37px" border="0" class="img_whs7"><a class="dropspot" href="javascript:kadovTextPopup(this)" id="a12" style="font-style: normal; /*begin!kadov{{*/ position: relative; /*}}end!kadov*/ ">Meaning 
 of Y-parameters</a><script type="text/javascript"
												language=JavaScript1.2><!--
kadovInitEffects('a12');
//--></script></p>

<div class="droptext" id="POPUP33044284" style="display: 'none'; " x-ss-type="dropdown">
 <p class=Dropdowntext>The <span style="x-condition:ZVB_A_T; ">four </span>2-port Y-parameters can 
 be interpreted as follows:</p>
 <ul type="disc" class="whs1">
  <li class=kadov-p-CList>
  <p class=List>Y<span style="vertical-align: Sub;">11</span> 
 is the input admittance, defined as the ratio of the current I<span style="vertical-align: Sub;">1</span> 
 to the voltage V<span style="vertical-align: Sub;">1</span>, measured 
 at port 1 (forward measurement with output terminated in a short circuit, 
 V<span style="vertical-align: Sub;">2</span> = 0). </p></li>
  <li style="x-condition:ZVB_A_T; " class="kadov-p-CList">
  <p class=List>Y<span style="vertical-align: Sub;">21</span> 
 is the forward transfer admittance, defined as the ratio of the current 
 I<span style="vertical-align: Sub;">2</span> to the voltage V<span style="vertical-align: Sub;">1</span> 
 (forward measurement with output terminated in a short circuit, V<span 
 style="vertical-align: Sub;">2</span> = 0).</p></li>
  <li style="x-condition:ZVB_A_T; " class="kadov-p-CList">
  <p class=List>Y<span style="vertical-align:Sub; x-condition:ZVB_A_T; ">12</span> 
 is the reverse transfer admittance, defined as the ratio of the current 
 I<span style="vertical-align:Sub; x-condition:ZVB_A_T; ">1</span> to the 
 voltage V<span style="vertical-align:Sub; x-condition:ZVB_A_T; ">2</span> 
 (reverse measurement with input terminated in a short circuit, V<span style="vertical-align:Sub; x-condition:ZVB_A_T; ">1</span> = 0).</p></li>
  <li class=kadov-p-CList>
  <p class=List>Y<span style="vertical-align: Sub;">22</span> 
 is the output admittance, defined as the ratio of the current I<span style="vertical-align: Sub;">2</span> 
 to the voltage V<span style="vertical-align: Sub;">2</span>, measured 
 at port 2 (reverse measurement with input terminated in a short circuit, 
 V<span style="vertical-align: Sub;">1</span> = 0). </p></li>
 </ul>
</div>
<p>Y-parameters can be easily extended to describe circuits with more than 
 two ports or several modes of propagation<span style="x-condition:OLH; ">; 
 see section </span><span style="font-style:italic; x-condition:OLH; "><I><a href="../../MMI_Reference/Trace/Measure/Admittance/Admittance.htm#More_Y_Parameters" id="a5" style="/*begin!kadov{{*/ position: relative; /*}}end!kadov*/ ">More 
 Y-Parameters</a><script type="text/javascript"
											language=JavaScript1.2><!--
kadovInitEffects('a5');
//--></script></I></span>. 
 </p>


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