4,427 research outputs found
Ordered Reliability Direct Error Pattern Testing Decoding Algorithm
We introduce a novel universal soft-decision decoding algorithm for binary
block codes called ordered reliability direct error pattern testing (ORDEPT).
Our results, obtained for a variety of popular short high-rate codes,
demonstrate that ORDEPT outperforms state-of-the-art decoding algorithms of
comparable complexity such as ordered reliability bits guessing random additive
noise decoding (ORBGRAND) in terms of the decoding error probability and
latency. The improvements carry on to the iterative decoding of product codes
and convolutional product-like codes, where we present a new adaptive decoding
algorithm and demonstrate the ability of ORDEPT to efficiently find multiple
candidate codewords to produce soft output
Deterministic and Ensemble-Based Spatially-Coupled Product Codes
Several authors have proposed spatially-coupled (or convolutional-like)
variants of product codes (PCs). In this paper, we focus on a parametrized
family of generalized PCs that recovers some of these codes (e.g., staircase
and block-wise braided codes) as special cases and study the iterative decoding
performance over the binary erasure channel. Even though our code construction
is deterministic (and not based on a randomized ensemble), we show that it is
still possible to rigorously derive the density evolution (DE) equations that
govern the asymptotic performance. The obtained DE equations are then compared
to those for a related spatially-coupled PC ensemble. In particular, we show
that there exists a family of (deterministic) braided codes that follows the
same DE equation as the ensemble, for any spatial length and coupling width.Comment: accepted at ISIT 2016, Barcelona, Spai
Design and Performance of Rate-compatible Non-Binary LDPC Convolutional Codes
In this paper, we present a construction method of non-binary low-density
parity-check (LDPC) convolutional codes. Our construction method is an
extension of Felstroem and Zigangirov construction for non-binary LDPC
convolutional codes. The rate-compatibility of the non-binary convolutional
code is also discussed. The proposed rate-compatible code is designed from one
single mother (2,4)-regular non-binary LDPC convolutional code of rate 1/2.
Higher-rate codes are produced by puncturing the mother code and lower-rate
codes are produced by multiplicatively repeating the mother code. Simulation
results show that non-binary LDPC convolutional codes of rate 1/2 outperform
state-of-the-art binary LDPC convolutional codes with comparable constraint bit
length. Also the derived low-rate and high-rate non-binary LDPC convolutional
codes exhibit good decoding performance without loss of large gap to the
Shannon limits.Comment: 8 pages, submitted to IEICE transactio
Quasi-Cyclic Asymptotically Regular LDPC Codes
Families of "asymptotically regular" LDPC block code ensembles can be formed
by terminating (J,K)-regular protograph-based LDPC convolutional codes. By
varying the termination length, we obtain a large selection of LDPC block code
ensembles with varying code rates, minimum distance that grows linearly with
block length, and capacity approaching iterative decoding thresholds, despite
the fact that the terminated ensembles are almost regular. In this paper, we
investigate the properties of the quasi-cyclic (QC) members of such an
ensemble. We show that an upper bound on the minimum Hamming distance of
members of the QC sub-ensemble can be improved by careful choice of the
component protographs used in the code construction. Further, we show that the
upper bound on the minimum distance can be improved by using arrays of
circulants in a graph cover of the protograph.Comment: To be presented at the 2010 IEEE Information Theory Workshop, Dublin,
Irelan
Exit chart analysis of parallel data convolutional codes
We recently proposed a new class of turbo-like codes
called parallel data convolutional codes (PDCCs). The distinct characteristics of PDCCs include parallel data input bits and a self-iterative soft-in/soft-out a posteriori probability(APP) decoder. In this paper, we analyse this turbolike code by means of the extrinsic information transfer chart (EXIT chart). Our results show that the threshold Eb/N0 point for a rate 1/2 8-state PDCC is 0.6 dB, which is the same as the threshold point for a punctured rate 1/2 16-state parallel concatenated convolutional code (turbo code)
Short Block-length Codes for Ultra-Reliable Low-Latency Communications
This paper reviews the state of the art channel coding techniques for
ultra-reliable low latency communication (URLLC). The stringent requirements of
URLLC services, such as ultra-high reliability and low latency, have made it
the most challenging feature of the fifth generation (5G) mobile systems. The
problem is even more challenging for the services beyond the 5G promise, such
as tele-surgery and factory automation, which require latencies less than 1ms
and failure rate as low as . The very low latency requirements of
URLLC do not allow traditional approaches such as re-transmission to be used to
increase the reliability. On the other hand, to guarantee the delay
requirements, the block length needs to be small, so conventional channel
codes, originally designed and optimised for moderate-to-long block-lengths,
show notable deficiencies for short blocks. This paper provides an overview on
channel coding techniques for short block lengths and compares them in terms of
performance and complexity. Several important research directions are
identified and discussed in more detail with several possible solutions.Comment: Accepted for publication in IEEE Communications Magazin
Spatially-Coupled Random Access on Graphs
In this paper we investigate the effect of spatial coupling applied to the
recently-proposed coded slotted ALOHA (CSA) random access protocol. Thanks to
the bridge between the graphical model describing the iterative interference
cancelation process of CSA over the random access frame and the erasure
recovery process of low-density parity-check (LDPC) codes over the binary
erasure channel (BEC), we propose an access protocol which is inspired by the
convolutional LDPC code construction. The proposed protocol exploits the
terminations of its graphical model to achieve the spatial coupling effect,
attaining performance close to the theoretical limits of CSA. As for the
convolutional LDPC code case, large iterative decoding thresholds are obtained
by simply increasing the density of the graph. We show that the threshold
saturation effect takes place by defining a suitable counterpart of the
maximum-a-posteriori decoding threshold of spatially-coupled LDPC code
ensembles. In the asymptotic setting, the proposed scheme allows sustaining a
traffic close to 1 [packets/slot].Comment: To be presented at IEEE ISIT 2012, Bosto
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