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- Forney, Jr., G David, et al.
(författare)
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Minimal and canonical rational generator matrices for convolutional codes
- 1996
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Ingår i: IEEE Transactions on Information Theory. - : Institute of Electrical and Electronics Engineers (IEEE). - 0018-9448. ; 42:6, Part 1, s. 1865-1880
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Tidskriftsartikel (refereegranskat)abstract
- A full-rank IC x n matrix G(D) over the rational functions F(D) generates a rate R = k/n convolutional code C. G(D) is minimal if it can be realized with as few memory elements as any encoder for C, and G(D) is canonical if it has a minimal realization in controller canonical form. We show that G(D) is minimal if and only if for all rational input sequences p1 (D), the span of U (D) G (D) covers the span of ZL (D). Alternatively, G(D) is minimal if and only if G(D) is globally zero-free, or globally invertible. We show that G(D) is canonical if and only if G(D) is minimal and also globally orthogonal, in the valuation-theoretic sense of Monna.
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- Höst, Stefan, et al.
(författare)
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Active distances and cascaded convolutional codes
- 1997
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Ingår i: [Host publication title missing]. - 0780339568 ; , s. 107-107
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Konferensbidrag (refereegranskat)abstract
- A family of active distances for convolutional codes is introduced. Lower bounds are derived for the ensemble of periodically time-varying convolutional codes.
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| 6. |
- Höst, Stefan, et al.
(författare)
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Active distances for convolutional codes
- 1999
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Ingår i: IEEE Transactions on Information Theory. - : Institute of Electrical and Electronics Engineers (IEEE). - 0018-9448. ; 45:2, s. 658-669
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Tidskriftsartikel (refereegranskat)abstract
- A family of active distance measures for general convolutional codes is defined. These distances are generalizations of the extended distances introduced by Thommesen and Justesen (1983) for unit memory convolutional codes. It is shown that the error correcting capability of a convolutional code is determined by the active distances. The ensemble of periodically time-varying convolutional codes is defined and lower bounds on the active distances are derived for this ensemble. The active distances are very useful in the analysis of concatenated convolutional encoders
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| 8. |
- Höst, Stefan, et al.
(författare)
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Cascaded convolutional codes
- 1998
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Ingår i: Communication and Coding. - 0863802389 ; , s. 10-29
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Bokkapitel (övrigt vetenskapligt/konstnärligt)
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