Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/6318
Title: | Optimal Lattice Codes For the Gaussian Channel |
Authors: | Kassem, Walid |
Advisor: | Anderson, J. Buda, R. de |
Department: | Electrical and Computer Engineering |
Keywords: | Electrical and Computer Engineering;Electrical and Computer Engineering |
Publication Date: | 1981 |
Abstract: | <p>Lattices are used to construct a class of equal-energy codes for the Gaussian channel and the resultant error probability tends to zero for large n at all rates below channel capacity. The error probability is explicitly bounded for any given lattice code and then further further bounded for a general code using the Minkowski-Hlawka theorem of the geometry of numbers. Similar bounds are applied also to maximum-energy codes, to show that such lattice codes are near-optimal.</p> <p>Finally, the error bounds are applied to explicit codes defined for all n=2ᵐ. These codes are shown to have a low Pℯ at rates higher than any previously attained.</p> |
URI: | http://hdl.handle.net/11375/6318 |
Identifier: | opendissertations/1637 2056 1240566 |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 5.45 MB | Adobe PDF | View/Open |
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