@inproceedings{9a7234707ce44134af507becccb69863,
title = "Minimum free distance of CCSDS turbo encoders under (Truncated) M{\"o}bius interleavers",
abstract = "In this paper, we study the minimum free distance of the Consultative Committee for Space Data Systems (CCSDS) standard turbo encoder with M{\"o}bius interleavers. We introduce a new class of deterministic interleavers based on the M{\"o}bius interleavers called truncated M{\"o}bius interleavers and investigate their cycle structure. We find the exact number of total cycles of these interleavers and an upper bound on the binary fixed points in all of their cycles shifts. We derive the run time of the binary fixed point algorithm, which is used for estimating the minimum free distance of the employed turbo codes. Finally, we introduce some criteria to reduce the number of total cycles. This leads us to reduce the run time of the aforementioned algorithm.",
keywords = "Cycle Structure, M{\"o}bius Interleaver, Permutation, Turbo Code",
author = "Seyyedali Hosseinalipour and Amin Sakzad and Sadeghi, \{Mohammad Reza\}",
note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 2015 Iran Workshop on Communication and Information Theory, IWCIT 2015 ; Conference date: 06-05-2015 Through 07-05-2015",
year = "2015",
month = jun,
day = "29",
doi = "10.1109/IWCIT.2015.7140212",
language = "English",
series = "IWCIT 2015 - Iran Workshop on Communication and Information Theory",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
booktitle = "IWCIT 2015 - Iran Workshop on Communication and Information Theory",
address = "United States",
}