TY - JOUR
T1 - Further Exploration of Convolutional Encoders for Unequal Error Protection and New UEP Convolutional Codes
AU - Tang, Hung Hua
AU - Wang, Chung-Hsuan
AU - Lin, Mao Chao
PY - 2016/9/1
Y1 - 2016/9/1
N2 - In this paper, the unequal error protection (UEP) capability of convolutional encoders, in terms of the separation vector, is studied from an algebraic viewpoint. A simple procedure is presented for constructing a generator matrix, which is basic and has the largest separation vector for every convolutional code. Such a generator matrix would be desirable, since the corresponding encoder not only achieves UEP optimality, but also avoids undesired catastrophic error propagation. In addition, canonical generator matrices, which are both basic and reduced, are even more preferable for encoding, since they attain the lowest complexity for Viterbi decoding. However, the direct transformation from a UEP-optimal generator matrix to a canonical generator matrix may come with an unexpected loss of the separation vector. We also propose a specific type of transformation matrix that reduces the external degrees of the generator matrices, from which canonical generator matrices can be constructed that include the mitigated degradation of the separation vector. Finally, beneficial UEP convolutional codes that achieve the maximum free distances for the given code parameters are provided.
AB - In this paper, the unequal error protection (UEP) capability of convolutional encoders, in terms of the separation vector, is studied from an algebraic viewpoint. A simple procedure is presented for constructing a generator matrix, which is basic and has the largest separation vector for every convolutional code. Such a generator matrix would be desirable, since the corresponding encoder not only achieves UEP optimality, but also avoids undesired catastrophic error propagation. In addition, canonical generator matrices, which are both basic and reduced, are even more preferable for encoding, since they attain the lowest complexity for Viterbi decoding. However, the direct transformation from a UEP-optimal generator matrix to a canonical generator matrix may come with an unexpected loss of the separation vector. We also propose a specific type of transformation matrix that reduces the external degrees of the generator matrices, from which canonical generator matrices can be constructed that include the mitigated degradation of the separation vector. Finally, beneficial UEP convolutional codes that achieve the maximum free distances for the given code parameters are provided.
KW - Basic generator matrix
KW - canonical generator matrix
KW - optimal generator matrix
KW - separation vector
KW - unequal error protection
UR - http://www.scopus.com/inward/record.url?scp=84983516261&partnerID=8YFLogxK
U2 - 10.1109/TIT.2016.2591010
DO - 10.1109/TIT.2016.2591010
M3 - Article
AN - SCOPUS:84983516261
SN - 0018-9448
VL - 62
SP - 4857
EP - 4866
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 9
M1 - 7511703
ER -