In some practical systems, most of the errors are of 1 → 0 type and 0 → 1
errors occur very rarely. In this thesis, first, the capacity of the asymmetric
channel is derived. The capacity of the binary symmetric channel (BSC) and the
Z-channel can be derived from this expression as special cases.
Second, the error detecting capability of Bose-Lin codes beyond the maximum
designed error detection capability are described. Third, a new class of
a systematic t-unidirectional error detecting codes over Z [subscript m], m≥2 is designed.
These codes can detect 2 errors using r=2 check bits and up to m[superscript (r-2)] + r-2
errors using r>2 check bits. Some upper bound on the maximum number of
detectable errors when using r check bits are given.
Finally, some analysis on the data throughput when using the following
protocols over the m-ary Z-Channel, m≥2 are derived:
(1) ARQ protocols using t-Asymmetric Error Detecting (t-AED) codes.
(2) ARQ protocols using All Asymmetric Error Detecting (AAED) codes.
(3) Type-I Hybrid ARQ protocols using t-Asymmetric Error Correcting and All
Asymmetric Error Detecting (t-EC/AAED) codes.
(4) ARQ Protocols with diversity combining using t-Asymmetric Error Correcting
and All Asymmetric Error Detecting (t-EC/AAED) codes.
Finally, some open research problems are described. / Graduation date: 2005
| Identifer | oai:union.ndltd.org:ORGSU/oai:ir.library.oregonstate.edu:1957/28888 |
| Date | 28 April 2005 |
| Creators | Elmougy, Samir |
| Contributors | Bose, Bella |
| Source Sets | Oregon State University |
| Language | en_US |
| Detected Language | English |
| Type | Thesis/Dissertation |
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