Abstract
In this paper, we propose a design of spatially coupled repeat-accumulate (SC-RA) codes over a three-phase bidirectional relay. The channels between the nodes are assumed binary input additive white Gaussian noise (BIAWGN) channels, while decode-and-forward (DF) relaying is considered at the relay. We present low complexity density evolution analysis for the proposed bidirectional relay code, which leads to a simple code design procedure. The performance of the proposed relay coding scheme significantly outperforms the performance of the relay code based on regular RA block code. We show that the decoding threshold of the proposed relay code approaches the theoretical limit for a wide range of design rates. We also show the finite-length performance of the proposed bidirectional relay code through simulation results.
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