.png){kind=icon}
.png){kind=icon}
Return
D-IRA Codes Over Integer Rings for Lattice-Based Multiple Access
.png){kind=icon}
PRE
AI
DOI：10.1109/LCOMM.2024.3484580.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
We study capacity-approaching irregular repeat accumulate (IRA) codes over integer rings Z(2m) for 2(m)-PAM signaling, m=1,2,center dot center dot center dot. Such codes belong to the ensemble of lattice codes. First, the effect of zero-divisors on the iterative belief-propagation (BP) decoding is analyzed. We show that the symmetric Gaussian approximation is invalid for existing IRA codes over integer rings. Then we propose a new doubly IRA (D-IRA) ring code structure, which consists of irregular multiplier distribution and irregular node-degree distribution. Such structure can restore the symmetry and optimize the BP decoding threshold. Numerical result demonstrates the improved performance of D-IRA codes for AWGN channel. Also, it is demonstrated that the lattice based multiple-access scheme with D-IRA code performs within 3 dB the capacity limit.
Keywords:
Codes
Vectors
Lattices
Modulation
Structural rings
Decoding
Iterative decoding
Symbols
Receivers
Optimization
Coded modulation
lattice codes
physical-layer network coding
compute-forward
network information theory