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On nested convolutional codes

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3 Author(s)
Jordan, R. ; Dept. TAIT, Ulm Univ., Germany ; Johannesson, R. ; Bossert, M.

Nested convolutional codes are a set of convolutional codes that is derived from a given generator matrix. The structural properties of nested generator matrices and nested convolutional codes are studied. A method to construct the set of all (rational) minimal generator matrices of a given convolutional code is presented. Nested convolutional codes derived from equivalent minimal generator matrices can have a significant difference in their free distance profiles. This emphasizes the importance of being careful when selecting the generator matrix that determines the nested convolutional codes.

Published in:

Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on

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