21,928 research outputs found
Capacity-Achieving MIMO-NOMA: Iterative LMMSE Detection
This paper considers a low-complexity iterative Linear Minimum Mean Square
Error (LMMSE) multi-user detector for the Multiple-Input and Multiple-Output
system with Non-Orthogonal Multiple Access (MIMO-NOMA), where multiple
single-antenna users simultaneously communicate with a multiple-antenna base
station (BS). While LMMSE being a linear detector has a low complexity, it has
suboptimal performance in multi-user detection scenario due to the mismatch
between LMMSE detection and multi-user decoding. Therefore, in this paper, we
provide the matching conditions between the detector and decoders for
MIMO-NOMA, which are then used to derive the achievable rate of the iterative
detection. We prove that a matched iterative LMMSE detector can achieve (i) the
optimal capacity of symmetric MIMO-NOMA with any number of users, (ii) the
optimal sum capacity of asymmetric MIMO-NOMA with any number of users, (iii)
all the maximal extreme points in the capacity region of asymmetric MIMO-NOMA
with any number of users, (iv) all points in the capacity region of two-user
and three-user asymmetric MIMO-NOMA systems. In addition, a kind of practical
low-complexity error-correcting multiuser code, called irregular
repeat-accumulate code, is designed to match the LMMSE detector. Numerical
results shows that the bit error rate performance of the proposed iterative
LMMSE detection outperforms the state-of-art methods and is within 0.8dB from
the associated capacity limit.Comment: Accepted by IEEE TSP, 16 pages, 9 figures. This is the first work
that proves the low-complexity iterative receiver (Parallel Interference
Cancellation) can achieve the capacity of multi-user MIMO systems. arXiv
admin note: text overlap with arXiv:1604.0831
Asymmetric Construction of Low-Latency and Length-Flexible Polar Codes
Polar codes are a class of capacity-achieving error correcting codes that
have been selected for use in enhanced mobile broadband in the 3GPP 5th
generation (5G) wireless standard. Most polar code research examines the
original Arikan polar coding scheme, which is limited in block length to powers
of two. This constraint presents a considerable obstacle since practical
applications call for all code lengths to be readily available. Puncturing and
shortening techniques allow for flexible polar codes, while multi-kernel polar
codes produce native code lengths that are powers of two and/or three. In this
work, we propose a new low complexity coding scheme called asymmetric polar
coding that allows for any arbitrary block length. We present details on the
generator matrix, frozen set design, and decoding schedule. Our scheme offers
flexible polar code lengths with decoding complexity lower than equivalent
state-of-the-art length-compatible approaches under successive cancellation
decoding. Further, asymmetric decoding complexity is directly dependent on the
codeword length rather than the nearest valid polar code length. We compare our
scheme with other length matching techniques, and simulations are presented.
Results show that asymmetric polar codes present similar error correction
performance to the competing schemes, while dividing the number of SC decoding
operations by up to a factor of 2 using the same codeword lengthComment: To appear in IEEE International Conference on Communications 2019
(Submitted October 12, 2018), 6 page
Concatenated Codes for Amplitude Damping
We discuss a method to construct quantum codes correcting amplitude damping
errors via code concatenation. The inner codes are chosen as asymmetric
Calderbank-Shor-Steane (CSS) codes. By concatenating with outer codes
correcting symmetric errors, many new codes with good parameters are found,
which are better than the amplitude damping codes obtained by any previously
known construction.Comment: 5 page
Multi-Error-Correcting Amplitude Damping Codes
We construct new families of multi-error-correcting quantum codes for the
amplitude damping channel. Our key observation is that, with proper encoding,
two uses of the amplitude damping channel simulate a quantum erasure channel.
This allows us to use concatenated codes with quantum erasure-correcting codes
as outer codes for correcting multiple amplitude damping errors. Our new codes
are degenerate stabilizer codes and have parameters which are better than the
amplitude damping codes obtained by any previously known construction.Comment: 5 pages. Submitted to ISIT 201
Codeword Stabilized Quantum Codes for Asymmetric Channels
We discuss a method to adapt the codeword stabilized (CWS) quantum code
framework to the problem of finding asymmetric quantum codes. We focus on the
corresponding Pauli error models for amplitude damping noise and phase damping
noise. In particular, we look at codes for Pauli error models that correct one
or two amplitude damping errors. Applying local Clifford operations on graph
states, we are able to exhaustively search for all possible codes up to length
. With a similar method, we also look at codes for the Pauli error model
that detect a single amplitude error and detect multiple phase damping errors.
Many new codes with good parameters are found, including nonadditive codes and
degenerate codes.Comment: 5 page
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