Abstract
A convolutional code can be used to detect or correct infinite sequences of errors or to correct infinite sequences of erasures. First, erasure correction is shown to be related to error detection, as well as error detection to error correction. Next, the active burst distance is exploited, and various bounds on erasure correction, error detection, and error correction are obtained for convolutional codes. These bounds are illustrated by examples.
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REFERENCES
Höst, S., Johannesson, R., Zigangirov, K. Sh., and Zyablov, V.V., Active Distances for Convolutional Codes, IEEE Trans. Inf. Theory, 1999, vol. 45, no. 2, pp. 658–669.
Forney, G.D., Jr., Burst-Correcting Codes for the Classic Bursty Channel, IEEE Trans. Commun. Techn., 1971, vol. 19, no. 5, pp. 772–781.
Johannesson, R. and Zigangirov, K.Sh., Fundamentals of Convolutional Coding, Piscataway: IEEE Press,1999.
Garello, R., Montorsi, G., Benedetto, S., and Cancellieri, G., Interleaver Properties and Their Applications to the Trellis Complexity Analysis of Turbo Codes, IEEE Trans. Commun., 2001, vol. 49, no. 5, pp. 793–807.
Andrews, K., Heegard, C., and Kozen, D., A Theory of Interleavers, Tech. Report of Cornell Univ., Comp. Sci. Dept., Ithaca, USA, 1997, no. 97-1634.
Ramsey, J.L., Realization of Optimum Inter leavers, IEEE Trans. Inf. Theory, 1970, vol. 16, no. 3, pp. 338–345.
Jordan, R., H. ost, S., and Johannesson, R., On Inter leaver Design for Serially Concatenated Convolutional Codes, in Proc. IEEE Int. Symp. on Information Theory, Washington, 2001.
Jordan, R., Design Aspects of Woven Convolutional Coding, PhD Thesis, Ulm, Germany: Univ. of Ulm, Dept. Telecomm. Appl. Inf. Theory, 2002.
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Zyablov, V.V., Johannesson, R. & Pavlushkov, V.A. Detecting and Correcting Capabilities of Convolutional Codes. Problems of Information Transmission 40, 187–194 (2004). https://doi.org/10.1023/B:PRIT.0000044254.75059.d8
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DOI: https://doi.org/10.1023/B:PRIT.0000044254.75059.d8