Topics on trellis codes /
A simple but precise way of understanding group codes,
| Main Author: | |
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| Format: | Thesis Book |
| Language: | English |
| Published: |
[Place of publication not identified] :
[publisher not identified] ;
1996.
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| Subjects: | |
| Online Access: | http://proxy.library.tamu.edu/login?url=http://proquest.umi.com/pqdweb?did=739364441&sid=1&Fmt=2&clientId=2945&RQT=309&VName=PQD |
| Summary: | A simple but precise way of understanding group codes, rotationally invariant trellis codes, and distance spectrums was given in this dissertation. On trellis group codes, we have developed two useful tests of a group trellis. One is matrix method, the other is graphic method. We have proven an illustrative theorem of time invariant group trellises and a finite version of the minimum encoder theorem of trellis group codes. On rotationally invariant trellis codes, we gave a necessary and sufficient condition of RI codes as a framework for code design. A systematic way to construct RI codes based on an algebraic method is discussed. Base on the algebraic method, we were able to construct good 90' RI trellis codes for two dimensional QAM constellations with up to 1024 states. From the construction method of codes, we derived a corresponding construction method for encoders. The differential encoders are absorbed into the trellis encoders naturally. On distance spectrums, we were able to figure out the modified states diagrams of ISI channels with slightly extended states. Also the distance spectrums of the RI trellis codes designed can be found by the modified state diagrams with the same number of state as the original codes. Both cases are impossible by the methods published before. The result of the work on the catastrophic property of ISI channels is a simple test of catastrophic channels. |
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| Item Description: | Vita. "Major Subject: Electrical Engineering". |
| Physical Description: | viii, 187 leaves : illustrations ; 28 cm. Issued also on microfiche from University Microfilms Inc. |
| Bibliography: | Includes bibliographical references: pages 80-82. |