<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> / Doctor of Philosophy (PhD)
| Identifer | oai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/6318 |
| Date | January 1981 |
| Creators | Kassem, Walid |
| Contributors | Anderson, J., Buda, R. de, Electrical and Computer Engineering |
| Source Sets | McMaster University |
| Detected Language | English |
| Type | thesis |
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