Coding theorems for turbo code ensembles

H Jin, RJ McEliece - IEEE Transactions on Information Theory, 2002 - ieeexplore.ieee.org
This paper is devoted to a Shannon-theoretic study of turbo codes. We prove that ensembles
of parallel and serial turbo codes are" good" in the following sense. For a turbo code …

[PDF][PDF] Coding theorems for" turbo-like" codes

D Divsalar, H Jin, RJ McEliece - Proceedings of the annual …, 1998 - researchgate.net
In this paper we discuss AWGN coding theorems for ensembles of coding systems which are
built from fixed convolutional codes interconnected with random interleavers. We call these …

Weight distributions and bounds for turbo‐codes

YV Svirid - European Transactions on Telecommunications, 1995 - Wiley Online Library
An optimal interleaving between two component encoders of a turbo‐code is proposed. The
optimally criterion for any real constructable interleaver is given. For component codes with …

On error bounds and turbo-codes

C Schlegel, L Perez - IEEE Communications Letters, 1999 - ieeexplore.ieee.org
Turbo-codes have been hailed as the ultimate step toward achieving the capacity limit
Shannon established some 50 years ago. We look at the performance of turbo-codes with …

Punctured turbo code ensembles

R Liu, P Spasojevic, E Soijanin - Proceedings 2003 IEEE …, 2003 - ieeexplore.ieee.org
We analyze the asymptotic performance of punctured turbo codes. The analysis is based on
the union bound on the word error probability of maximum likelihood decoding for punctured …

New performance bounds for turbo codes

TM Duman, M Salehi - IEEE Transactions on Communications, 1998 - ieeexplore.ieee.org
We derive a new upper bound on the word-and bit-error probabilities of turbo codes with
maximum-likelihood decoding by using the Gallager bound. Since the derivation of the …

Coding for parallel channels: Gallager bounds and applications to turbo-like codes

I Sason, I Goldenberg - IEEE transactions on information theory, 2007 - ieeexplore.ieee.org
The transmission of coded communication systems is widely modeled to take place over a
set of parallel channels. This model is used for transmission over block-fading channels, rate …

Thresholds for turbo codes

T Richardson, R Urbanke - 2000 IEEE International …, 2000 - ieeexplore.ieee.org
We prove the existence of thresholds for turbo codes and we prove concentration of the
performance of turbo codes within the ensemble determined by the random interleaver. In …

Improved union bound on linear codes for the input-binary AWGN channel, with applications to turbo codes

AM Viterbi, AJ Viterbi - Proceedings. 1998 IEEE International …, 1998 - ieeexplore.ieee.org
While improved bounds have been central to proofs of the coding theorem and the tightness
of the random coding bound for rates near capacity, most results for specific codes, both …

On improved bounds on the decoding error probability of block codes over interleaved fading channels, with applications to turbo-like codes

I Sason, S Shamai - IEEE Transactions on Information Theory, 2001 - ieeexplore.ieee.org
We derive here improved upper bounds on the decoding error probability of block codes
which are transmitted over fully interleaved Rician fading channels, coherently detected and …