<div dir="ltr"><br clear="all"><div><div dir="ltr" class="gmail_signature" data-smartmail="gmail_signature"><div dir="ltr"><div><div dir="ltr"><div><div dir="ltr"><div><br></div></div></div></div></div></div></div></div><div class="gmail_quote"><br><div dir="ltr"><div><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;text-align:center"><span style="font-family:Verdana,sans-serif;color:black"><br></span></p><p style="margin-top:1em;margin-bottom:1em;line-height:normal;text-align:center;clear:both"><img src="https://groups.google.com/a/sdsu.edu/group/csrc.colloquium/attach/1c2d9f54471f9/New%20CSRC%20Logo.jpg?part=0.1&view=1&authuser=0" alt="New CSRC Logo.jpg" style="margin-right:1em;margin-left:1em"></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;text-align:center"><span style="font-family:Verdana,sans-serif;color:black"><br></span></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;text-align:center"><span style="font-family:Verdana,sans-serif;color:black"><br></span></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;text-align:center"><span style="font-family:Verdana,sans-serif;color:black">DATE:</span><span style="font-size:10pt;font-family:Verdana,sans-serif;color:black"> </span><span style="font-size:13.5pt;font-family:Verdana,sans-serif;color:black"> </span><b><span style="font-size:18pt;font-family:Verdana,sans-serif">Friday, January 24, 2020</span></b></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;text-align:center"><b><span style="font-size:18pt;font-family:Verdana,sans-serif"><br></span></b></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;text-align:center"><span style="font-size:10pt;font-family:Verdana,sans-serif;color:black"></span></p><p class="MsoNormal" align="center" style="margin-top:1em;margin-bottom:1em;line-height:normal;text-align:center"><span style="font-family:Verdana,sans-serif;color:black"><br></span></p><div dir="ltr"><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><span style="font-size:10pt;font-family:Verdana,sans-serif;color:black"></span></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><span style="font-family:Verdana,sans-serif;color:black"></span></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><span style="font-family:Verdana,sans-serif;color:black">TITLE:</span><span style="font-size:10pt;font-family:Verdana,sans-serif;color:black"><br></span></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><span style="font-size:10pt;font-family:Verdana,sans-serif;color:black"></span></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><font size="6"><span style="font-family:verdana,sans-serif"></span></font></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><font size="6"><span style="font-family:verdana,sans-serif"><b><span style="background-image:none;background-position:0% 0%;background-size:initial;background-repeat:repeat;background-origin:initial;background-clip:initial"></span></b></span></font></p><div style="text-align:center"><span style="color:rgb(0,0,0);text-align:left"><font face="verdana, sans-serif" size="6"><b>Low Resolution Quantization in Massive MIMO Communications Systems</b></font></span><br></div><div style="text-align:center"><span style="font-family:verdana,sans-serif"><font size="6"><b><br></b></font></span><span style="font-family:verdana,sans-serif"><font size="6"><b></b></font></span><p class="MsoNormal" style="margin-top:1em;margin-bottom:1em;line-height:normal"><b><span style="font-size:11pt;font-family:Arial,sans-serif;color:black"></span></b></p><span style="font-family:verdana,sans-serif"><font size="6"><b></b></font></span><span style="font-family:verdana,sans-serif"><font size="6"><b><span style="font-size:12pt;font-family:"Times New Roman",serif"></span></b></font></span><span style="font-family:verdana,sans-serif"><font size="6"><b></b></font></span><span style="font-family:verdana,sans-serif"><font size="6"><b><span style="font-size:11pt"></span></b></font></span></div><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><span style="font-family:Verdana,sans-serif;color:black"></span></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><span style="font-family:Verdana,sans-serif;color:black"></span></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><span style="font-family:Verdana,sans-serif;color:black"><br></span></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><span style="font-family:Verdana,sans-serif;color:black">TIME:</span><span style="font-size:10pt;font-family:Verdana,sans-serif;color:black"> </span><span style="font-size:13.5pt;font-family:Verdana,sans-serif;color:black"> </span><b><span style="font-size:18pt;font-family:Verdana,sans-serif">3:00-4:00PM</span></b></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><br><b><span style="font-size:18pt;font-family:Verdana,sans-serif"><span style="color:black"></span></span></b></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><span style="font-size:10pt;font-family:Verdana,sans-serif;color:black"> </span></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><span style="font-family:Verdana,sans-serif;color:black">LOCATION:</span><span style="font-size:10pt;font-family:Verdana,sans-serif;color:black"> <b> </b></span><b><span style="font-size:18pt;font-family:Verdana,sans-serif">GMCS 314<br></span></b></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><b><span style="font-size:18pt;font-family:Verdana,sans-serif"><br></span></b></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><span style="font-size:10pt;font-family:Verdana,sans-serif;color:black"> </span></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><span style="font-family:Verdana,sans-serif;color:black"></span></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><span style="font-family:Verdana,sans-serif;color:black">SPEAKER/BIO:</span><span style="font-size:13.5pt;font-family:Verdana,sans-serif;color:black"> </span><b><span style="font-size:18pt;font-family:Verdana,sans-serif"><br></span></b></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><br><b><span style="font-size:18pt;font-family:Verdana,sans-serif"></span></b></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><span style="color:rgb(0,0,0);text-align:left"><font face="verdana, sans-serif" size="4"><b>Dr. A. Lee Swindlehurst, Professor, Department of Electrical Engineering & Computer Science, University of California-Irvine</b></font></span><b><span style="font-size:18pt;font-family:Verdana,sans-serif"><br></span></b><font size="4"><span style="font-family:verdana,sans-serif"><b><b><span style="font-size:18pt;font-family:Verdana,sans-serif"><span style="color:black"></span></span></b></b></span></font></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><b><span style="font-size:18pt;font-family:Verdana,sans-serif"></span></b></p><p class="MsoNormal" align="center" style="line-height:normal;text-align:center"><span style="font-family:Verdana,sans-serif;color:black"> </span></p><p class="MsoNormal" style="line-height:normal"><font size="2"><span style="font-family:Verdana,sans-serif;color:black"><br></span></font></p><p class="MsoNormal" style="line-height:normal"><font size="2"><span style="font-family:Verdana,sans-serif;color:black"><br></span></font></p><p class="MsoNormal" style="line-height:normal"><font size="4"><span style="font-family:Verdana,sans-serif;color:black">ABSTRACT:</span></font></p><font size="4"></font><p class="MsoNormal" style="line-height:13.91px"></p><p class="MsoNormal" style="line-height:normal"><span style="font-size:11pt;font-family:Arial,sans-serif;color:black"><span style="font-family:verdana,sans-serif"><font size="4"><span style="font-family:arial,sans-serif"></span></font></span></span></p><p class="MsoNormal" style="line-height:normal"></p></div><div dir="ltr"><span style="color:rgb(0,0,0)"><font size="4" face="verdana, sans-serif">Low-resolution sampling has been extensively studied as a method for reducing the hardware complexity of communications systems with large numbers of antennas. While one-bit quantization yields the best energy efficiency, its severe non-linearity has a significant impact on performance. Borrowing from the idea of one-bit Sigma-Delta oversampling in the temporal domain, we describe a corresponding technique in the spatial domain, in which the quantization noise is shaped away from the signal directions corresponding to users of interest. We show that for scenarios typical in cellular systems, where the users are confined to an angular sector, the one-bit Sigma-Delta approach can provide performance approaching that of a system with high-resolution ADCs, with significantly lower hardware complexity.</font></span><br style="color:rgb(0,0,0);font-family:"Times New Roman",Times,serif;font-size:14px"><font size="4"><span style="font-family:verdana,sans-serif"> <br></span></font></div><div dir="ltr"><font size="4"><span style="font-family:verdana,sans-serif"><br></span></font><p class="MsoNormal" style="margin:0in 5.2pt 0.0001pt 0in;line-height:13.91px"><br></p><span style="font-family:arial,sans-serif"><font size="4"></font></span></div><span style="font-family:arial,sans-serif"><font size="4">Host: Jose Castillo</font></span><br></div></div>

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