TY - GEN
T1 - Performance bounds of concatenated polar coding schemes
AU - Goldin, Dina
AU - Burshtein, David
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2017/8/9
Y1 - 2017/8/9
N2 - A concatenated coding scheme using a polarization transformation followed by outer sub-codes is analyzed. Achievable error exponents and upper bounds on the error rate are derived. The first bound is obtained using outer codes which are typical linear codes from the ensemble of parity check matrices whose elements are chosen independently and uniformly. As a byproduct of this bound, it determines the required rate split of the total rate to the rates of the outer codes. A lower bound on the error exponent that holds for all BMS channels with a given capacity is then derived. Improved bounds and approximations for small blocklength codes are also obtained. The bounds are compared to actual simulation results from the literature.
AB - A concatenated coding scheme using a polarization transformation followed by outer sub-codes is analyzed. Achievable error exponents and upper bounds on the error rate are derived. The first bound is obtained using outer codes which are typical linear codes from the ensemble of parity check matrices whose elements are chosen independently and uniformly. As a byproduct of this bound, it determines the required rate split of the total rate to the rates of the outer codes. A lower bound on the error exponent that holds for all BMS channels with a given capacity is then derived. Improved bounds and approximations for small blocklength codes are also obtained. The bounds are compared to actual simulation results from the literature.
UR - http://www.scopus.com/inward/record.url?scp=85034102938&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2017.8007000
DO - 10.1109/ISIT.2017.8007000
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AN - SCOPUS:85034102938
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 2603
EP - 2607
BT - 2017 IEEE International Symposium on Information Theory, ISIT 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2017 IEEE International Symposium on Information Theory, ISIT 2017
Y2 - 25 June 2017 through 30 June 2017
ER -