Actas de congresos
Bayes Decoding For Discrete Linear Channels With Semantic Value Of Information
Registro en:
Aip Conference Proceedings. , v. 1490, n. 1, p. 126 - 134, 2012.
0094243X
10.1063/1.4759596
2-s2.0-84870191693
Autor
Firer M.
Panek L.
Rifo L.L.R.
Institución
Resumen
In this work we explore the decoding process when information words have different semantic values. In that setting, we introduce a convenient loss function that allows us to express the overall performance of a decoding scheme for discrete channels, switching the usual goal of minimizing the error probability to that of minimizing the expected loss. © 2012 American Institute of Physics. 1490 1 126 134 Anderson, J., Firer, M., (2011) Classification of poset-block spaces admitting MacWilliams-type identity -preprint Ash, R., Information Theory (1965) John Wiley & Sons, Inc. Barg, A., Purkayastha, P., Bounds on ordered codes and orthogonal arrays (2009) MoscowMathematical Journal, 9 (2), pp. 211-243 Berlekamp, E.R., Mceliece, R.J., Tilborg, H.C.A.V., On the Inherent Intractability of Certain Coding Problems (1978) IEEE Transactions on Information Theory, 24 (3) Borade, S., Nakiboǧlu, B., Zheng, L., Unequal error protection: an information-theoretic perspective (2009) IEEE Transactions on Information Theory, 55 (12), pp. 5511-5539 Brualdi, R., Graves, J.S., Lawrence, M., Codes with a poset metric (1995) Discrete Mathematics, 147, pp. 57-72 Cover, T., Thomas, J.A., Elements of Information Theory (2006) John Wiley & Sons Felix, L.V., Firer, M., Canonical-Systematic Form of Hierarchical Codes (2011) pre-print Ho, K.P., Kahn, J.M., Imagen Transmission over Noisy Channels Using Multicarrier Modulation (1997) Signal Processing: Image Comunication, 9, pp. 159-169 Hyun, J.Y., Kim, H.K., The poset structures admitting the extended binary Hamming code to be a perfect code (2004) Discrete Mathematics, 288, pp. 37-47 Hyun, J.Y., Kim, H.K., Maximum distance separable poset codes (2008) Designs, Codes and Cryptography, 48 (3), pp. 247-261 Jang, C., Kim, H.K., Oh, D.Y., Rho, Y., The poset structures admitting the extended binary Golay code to be a perfect code (2008) Discrete Mathematics, 308, pp. 4057-4068 Juba, B., Sudan, M., Universal semantics of Communication I - STOC'08 Proceedings of the 40th annual (2008) ACM symposium on Theory of computing, pp. 123-132 Kim, H.K., Oh, D.Y., A Classification of Poset Admitting the MacWilliams Identity (2005) IEEE Transactions on Information Theory, 51 (4), pp. 1424-1431 Kolmogorov, A.N., On the Shannon theory of information in the case of continuous signals (1956) IEEE Transactions on Information Theory, , September Masnick, B., Wolf, J., On linear unequal error protection codes (1967) IEEE Transactions on Information Theory, 3 (4), pp. 600-607 Moura, A.D.O., Firer, M., Duality for poset codes (2010) IEEE Transactions on Information Theory, 56 (7), pp. 3180-3186 Panek, L., Firer, M., Kim, H.K., Hyun, J.Y., Groups of linear isometries on poset structures (2008) Discrete Mathematics, 308, pp. 4116-4123 Panek, L., Firer, M., Alves, M.M.S., Symmetry groups of Rosenbloom-Tsfasman spaces (2009) Discrete Mathematics, 309, pp. 763-771 Panek, L., Firer, M., Alves, M.M.S., Classification of Niederreiter-Rosenbloom-Tsfasman Block Codes (2010) IEEE Transactions on Information Theory, 56 (10), pp. 5207-5216 Parmigiani, G., Inoue, L.Y., Decision Theory, Principles and Approaches (2009) Wiley, Cornwall, , UK Yu Rosenbloom, M., Tsfasman, M.A., Codes for the m-metric (1997) Problems of Information Transmission, 33, pp. 45-52 Sason, I., Shamai, S., Performance Analysis of Linear Codes under Maximum-Likelihood Decoding (2006) A Tutorial - Foundations and Trends in Communication and Information Theory, 3 (1-2), pp. 1-222 Shannon, C.E., A mathematical theory of communication (1948) Bell System Tech. J., 27, pp. 379-423 Shannon, C.E., Coding theorems for a discrete source with a fidelity criterion (1959) IRE Nat. Conv. Rec., , march Schröder, B.S.W., Ordered Sets - An Introduction (2003) Birkhäuser Tavildar, S., Viswanath, P., Approximately universal codes over slow-fading channels (2006) IEEE Transactions on Information Theory, 52 (7), pp. 3233-3258