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								<h1>6.451 Principles of Digital Communication II</h1>


								<h3 class="term"> Spring 2005</h3>


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										<span id="Singleimageplaceholdercontrol1" title="Wireless digital communications."><a id="Singleimageplaceholdercontrol1_PresentationModeControlsContainer_PresentationHyperLink"><img id="Singleimageplaceholdercontrol1_PresentationModeControlsContainer_PresentationImage" src="../../../../NR/rdonlyres/Electrical-Engineering-and-Computer-Science/6-451Spring-2005/8B8DC3B0-6680-4FAD-AC91-BC6B98ADD99E/0/chp_wireless_1.jpg" alt="Wireless digital communications." border="0" /></a></span>


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	<p>Wireless digital communications. (Image&nbsp;by MIT OCW.)</p>





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										<h4>Course Highlights</h4>


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	This course features extensive <a href="../../../../OcwWeb/Electrical-Engineering-and-Computer-Science/6-451Spring-2005/LectureNotes/index.htm">video lectures</a>, along with <a href="../../../../OcwWeb/Electrical-Engineering-and-Computer-Science/6-451Spring-2005/Assignments/index.htm">assignments</a> and other materials used by students in the course.





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										<h4>Course Description</h4>


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	This course is the second of a two-term sequence with <a href="http://ocw.mit.edu/OcwWeb/Electrical-Engineering-and-Computer-Science/6-450Principles-of-Digital-Communication---IFall2002/CourseHome/index.htm">6.450</a>. The focus is on coding techniques for approaching the Shannon limit of additive white Gaussian noise (AWGN) channels, their performance analysis, and design principles. After a review of 6.450 and the Shannon limit for AWGN channels, the course begins by discussing small signal constellations, performance analysis and coding gain, and hard-decision and soft-decision decoding. It continues with binary linear block codes, Reed-Muller codes, finite fields, Reed-Solomon and BCH codes, binary linear convolutional codes, and the Viterbi algorithm. 





<p>More advanced topics include trellis representations of binary linear block codes and trellis-based decoding; codes on graphs; the sum-product and min-sum algorithms; the BCJR algorithm; turbo codes, LDPC codes and RA codes; and performance of LDPC codes with iterative decoding. Finally, the course addresses coding for the bandwidth-limited regime, including lattice codes, trellis-coded modulation, multilevel coding and shaping. If time permits, it covers equalization of linear Gaussian channels.</p>








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										<h4>Special Features</h4>


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											<li><a href="../../../../OcwWeb/Electrical-Engineering-and-Computer-Science/6-451Spring-2005/LectureNotes/index.htm">Complete video lectures</a></li>




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										<h4>Technical Requirements</h4>


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	<p><a href="http://www.real.com/" target="_blank">RealOne&trade; Player software</a> is required to run the .rm files found on this course site.</p>





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								<h3>Staff</h3>


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	Instructor:<br />


Prof. David Forney





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								<h3>Course Meeting Times</h3>


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	Lectures:<br />


Two sessions / week<br />


1.5 hours / session





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								<h3>Level</h3>


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