Minimum Error Probability Nonlinear Nonorthogonal Signalling over Rayleigh Fading

<body background="_themes/varhome/hadamard.gif" bgcolor="#FFFFFF" text="#000000" link="#3366CC" vlink="#666666" alink="#FF3300"><font face="trebuchet ms, arial, helvetica">  <p> <a href="http://dsp.colorado.edu"><img src="images/dsplogo.gif" alt="dsplogo.gif (3930 bytes)" border="0" align="middle" WIDTH="153" HEIGHT="50"></a> <a href="http://ece-www.colorado.edu"><img src="_borders/ecebutton.gif" alt="ECE Homepage" align="middle" border="0" WIDTH="63" HEIGHT="56"></a> <a href="http://www.colorado.edu"><img src="_borders/colorado.jpg" alt="University Homepage" align="middle" border="0" WIDTH="91" HEIGHT="54"></a></p> <div align="left"> </font><table border="0" cellpadding="5" cellspacing="0"> <tr> <td width="150" valign="top" align="center"><font face="trebuchet ms, arial, helvetica"><strong><small><small>This paper falls into the Research Interests:</small></small></strong><p> </p> <p><small><a href="res-ncmu.htm" target="main"><strong><small>Noncoherent Multiuser Detecion</small></strong></a></small></p> <p><img src="images/blank.gif" width="150" height="20" alt></font></td> <td valign="top" align="left" width="750"><font face="trebuchet ms, arial, helvetica"><h2><font color="#CC6666">Minimum Error Probability and Suboptimum Noncoherent Multiuser Detection for Nonlinear Nonorthogonal Synchronous Signaling over a Rayleigh Fading Channel</font></h2> <p>A. Russ and M. K. Varanasi, Proc. 1997 IEEE, Personal, Indoor, Mobile Radio Communications Conf., pp. 58-62, Helsinki, Finland, September 1997.</p> <p>Coherent multiuser detection for linear modulation has been the subject of much research in the past decade. Noncoherent detection for linear differentially phase shift keyed modulation has received considerable attention in the past few years, whereas research in the field of noncoherent detection for nonlinear modulation in correlated-waveform multiple access channels has been far more limited. This paper considers for the first time the problem of noncoherent multiuser detection for binary, nonlinear, nonorthogonal signaling over a synchronous, frequency-nonselective Rayleigh fading channel. A minimum error probability multiuser detector is derived and analyzed through asymptotically convergent upper and lower bounds on error probability. This detector has an exponential (in the number of users) time complexity. Consequently, a suboptimum Noncoherent Decorrelative Energy Detector (NDED) is proposed, whose complexity is linear in the number of users. The NDED is analyzed exactly in terms of error probability. An asymptotic performance analysis is undertaken for the NDED and, to serve as a comparison, for the conventional detector. It is shown that the former is near-far resistant, the latter, however, near-far limited.</p> <p><strong><small>This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.</small></strong></p> <p><strong><small>© 2000 <a href="http://www.ieee.org/">IEEE</a>. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the <a href="http://www.ieee.org/">IEEE</a>.</small></strong></p> </font></td> </tr> </table><font face="trebuchet ms, arial, helvetica"> </div> <p><small><small>Last modified: 2000-03-31T22:15</small></small></p>  </font></body>