A Proof of Threshold Saturation for Spatially-Coupled LDPC Codes on BMS Channels

Understand

Low-density parity-check (LDPC) convolutional codes have been shown to exhibit excellent performance under low-complexity belief-propagation decoding [1], [2].

• This phenomenon is now termed threshold saturation via spatial coupling.
• The underlying principle behind this appears to be very general and spatially-coupled (SC) codes have been successfully applied in numerous areas.
• Recently, SC regular LDPC codes have been proven to achieve capacity universally, over the class of binary memoryless symmetric (BMS) channels, under belief-propagation decoding [3], [4].