A phenomenological study on threshold improvement via spatial coupling

K Takeuchi, T Tanaka, T Kawabata - IEICE Transactions on …, 2012 - search.ieice.org
IEICE Transactions on Fundamentals of Electronics, Communications and …, 2012search.ieice.org
Kudekar et al. proved an interesting result in low-density parity-check (LDPC) convolutional
codes: The belief-propagation (BP) threshold is boosted to the maximum-a-posteriori (MAP)
threshold by spatial coupling. Furthermore, the authors showed that the BP threshold for
code-division multiple-access (CDMA) systems is improved up to the optimal one via spatial
coupling. In this letter, a phenomenological model for elucidating the essence of these
phenomenon, called threshold improvement, is proposed. The main result implies that …
Kudekar et al. proved an interesting result in low-density parity-check (LDPC) convolutional codes: The belief-propagation (BP) threshold is boosted to the maximum-a-posteriori (MAP) threshold by spatial coupling. Furthermore, the authors showed that the BP threshold for code-division multiple-access (CDMA) systems is improved up to the optimal one via spatial coupling. In this letter, a phenomenological model for elucidating the essence of these phenomenon, called threshold improvement, is proposed. The main result implies that threshold improvement occurs for spatially-coupled general graphical models.
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