20,156 research outputs found
A Randomized Construction of Polar Subcodes
A method for construction of polar subcodes is presented, which aims on
minimization of the number of low-weight codewords in the obtained codes, as
well as on improved performance under list or sequential decoding. Simulation
results are provided, which show that the obtained codes outperform LDPC and
turbo codes.Comment: Accepted to ISIT 2017 Formatting change
Space-Time Signal Design for Multilevel Polar Coding in Slow Fading Broadcast Channels
Slow fading broadcast channels can model a wide range of applications in
wireless networks. Due to delay requirements and the unavailability of the
channel state information at the transmitter (CSIT), these channels for many
applications are non-ergodic. The appropriate measure for designing signals in
non-ergodic channels is the outage probability. In this paper, we provide a
method to optimize STBCs based on the outage probability at moderate SNRs.
Multilevel polar coded-modulation is a new class of coded-modulation techniques
that benefits from low complexity decoders and simple rate matching. In this
paper, we derive the outage optimality condition for multistage decoding and
propose a rule for determining component code rates. We also derive an upper
bound on the outage probability of STBCs for designing the
set-partitioning-based labelling. Finally, due to the optimality of the
outage-minimized STBCs for long codes, we introduce a novel method for the
joint optimization of short-to-moderate length polar codes and STBCs
Polar Coding for Fading Channels
A polar coding scheme for fading channels is proposed in this paper. More
specifically, the focus is Gaussian fading channel with a BPSK modulation
technique, where the equivalent channel could be modeled as a binary symmetric
channel with varying cross-over probabilities. To deal with variable channel
states, a coding scheme of hierarchically utilizing polar codes is proposed. In
particular, by observing the polarization of different binary symmetric
channels over different fading blocks, each channel use corresponding to a
different polarization is modeled as a binary erasure channel such that polar
codes could be adopted to encode over blocks. It is shown that the proposed
coding scheme, without instantaneous channel state information at the
transmitter, achieves the capacity of the corresponding fading binary symmetric
channel, which is constructed from the underlying fading AWGN channel through
the modulation scheme.Comment: 6 pages, 4 figures, conferenc
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